Federal Communications Commission
Washington, D. C. 20554

Approved by 0MB
3060-0627
Expires 01/31198

FOR
FCC
USE
ONLY

FCC 302-AM
APPLICATION FOR AM
BROADCAST STATION LICENSE

FOR COMMISSION USE ONLY

(Please read instructions before filling out form.

FILE

NO(

'7 O 3ac; 4i

SECTION I - APPLICANT FEE INFORMATION
1. PAYOR NAME (Last, First, Middle Initial)
ACTUALIDAD 1040AM LICENSEE, LLC
MAILING ADDRESS (Line 1) (Maximum 35 characters)
2525 PONCE DE LEON BLVD, SUITE 250

MAILING ADDRESS (Line 2) (Maximum 35 characters)
CITY

STATE OR COUNTRY (if foreign address)
FL

CORAL GABLES

OTHER FCC IDENTIFIER (If applicable)
4341

CALL LETTERS
WU RN

TELEPHONE NUMBER (include area code)
305-260-7577

ZIP CODE
33134

P1

2. A. Is a fee submitted with this application?

Yes

LI

No

B. If No, indicate reason for fee exemption (see 47 C.F.R. Section

Li

Governmental Entity

LI

Noncommercial educational licensee

Other (Please explain):

C. If Yes, provide the following information:
Enter in Column (A) the correct Fee Type Code for the service you are applying for. Fee Type Codes may be found in the "Mass Media Services
Fee Filing Guide." Column (B) lists the Fee Multiple applicable for this application. Enter fee amount due in Column (C).

cc)

(A)
FEE MULTIPLE

FEE TYPE
coqE

M

10

FEE DUE FOR FEE
TYPE CODE IN
0.011 MN (A)

R

0

0

0

1

FOR FCC USE ONLY

$ 805.00

To be used only when you are requesting concurrent actions which result in a requirement to list more than one Fee Type Code.

M

R

0

0

0

ADD ALL AMOUNTS SHOWN IN COLUMN C,
AND ENTER THE TOTAL HERE.
THIS AMOUNT SHOULD EQUAL YOUR ENCLOSED
REMITTANCE.

$ 700.00

1

TOTAL AMOUNT
REMITTED WITH THIS
APPI I1'.ATION

$

FOR FCC USE ONLY

FOR FCC USE ONLY

1505.00

a..
FCC 302-AM
August 1995

SECTION II - APPLICANT INFORMATION
1. NAME OF APPLICANT
ACTUALIDAD 1040AM LICENSEE, LLC

MAILING ADDRESS
2525 PONCE DE LEON BLVD, SUITE 250

STATE

CITY

CORAL GABLES

ZIP CODE

FL

33134

2. This application is for:
Commercial

Noncommercial

AM Directional
Call letters
WURN

Community of License
MIAMI, FL

LI

AM Non-Directional

Construction Permit File No.

Modification of Construction
Permit File No(s).

Expiration Date of Last
Construction Permit

BP-20150706ACT

3. Is the station
now operating pursuant to automatic program test authority in
accordance with 47 C.F.R. Section 73.1620?
If No, explain in an Exhibit.

4. Have all the terms, conditions, and obligations set forth in the above described
construction permit been fully met?

Yes

No

Exhibit No.
Exhibit A

Yes

No

Exhibit No.

If No, state exceptions in an Exhibit.
5. Apart from the changes already reported, has any cause or circumstance arisen since
the grant of the underlying construction permit which would result in any statement or
representation contained in the construction permit application to be now incorrect?

Yes

No

Exhibit No.

If Yes, explain in an Exhibit.
Yes

6. Has the permittee filed its Ownership Report (FCC Form 323) or ownership
certification in accordance with 47 C.F.R. Section 73.3615(b)?

No

Does not apply
If No, explain in an Exhibit.

Exhibit No.

7. Has an adverse finding been made or an adverse final action been taken by any court
or administrative body with respect to the applicant or parties to the application in a civil or
criminal proceeding, brought under the provisions of any law relating to the following: any
felony; mass media related antitrust or unfair competition; fraudulent statements to
another governmental unit; or discrimination?

Yes

If the answer is Yes, attach as an Exhibit a full disclosure of the persons and matters
involved, including an identification of the court or administrative body and the proceeding
(by dates and file numbers), and the disposition of the litigation.
Where the requisite
information has been earlier disclosed in connection with another application or as
required by 47 U.S.C. Section 1.65(c), the applicant need only provide: (i) an identification
of that previous submission by reference to the file number in the case of an application,
the call letters of the station regarding which the application or Section 1 .65 information
was filed, and the date of filing; and (ii) the disposition of the previously reported matter.

Exhibit No.

FCC 302-AM (Page 2)
August 1995

No

	

8. Does the applicant, or any party to the application, have a petition on file to migrate to
the expanded band (1605-1 705 kHz) or a permit or license either in the existing band or
expanded band that is held in combination (pursuant to the 5 year holding period allowed)
with the AM facility proposed to be modified herein?

E

Yes

No

Exhibit No.

If Yes, provide particulars as an Exhibit.

The APPLICANT hereby waives any claim to the use of any particular frequency or of the electromagnetic spectrum as
against the regulatory power of the United States because use of the same, whether by license or otherwise, and
requests and authorization in accordance with this application. (See Section 304 of the Communications Act of 1934, as
amended).
The APPLICANT acknowledges that all the statements made in this application and attached exhibits are considered
material representations and that all the exhibits are a material part hereof and are incorporated herein as set out in full in

CERTIFICATION
Yes

1. By checking Yes, the applicant certifies, that, in the case of an individual applicant, he
or she is not subject to a denial of federal benefits that includes FCC benefits pursuant
to Section 5301 of the Anti-Drug Abuse Act of 1988, 21 U.S.C. Section 862, or, in the
case of a non-individual applicant (e.g., corporation, partnership or other unincorporated
association), no party to the application is subject to a denial of federal benefits that
includes FCC benefits pursuant to that section. For the definition of a "party" for these
purposes, see 47 C.F.R. Section 1.2002(b).

No

2. I certify that the statements in this application are true, complete, and correct to the best of my knowledge and belief,
and are made in good faith.
Signature

Name

JORGE A. GONZALEZ
Date

Title

PRES DENT

03/14/2017

Telephone Number

305-260-7577

WILLFUL FALSE STATEMENTS ON THIS FORM ARE PUNISHABLE BY FINE AND/OR IMPRISONMENT
(U.S. CODE, TITLE 18, SECTION 1001), AND/OR REVOCATION OF ANY STATION LICENSE OR
CONSTRUCTION
FCC NOTICE TO INDIVIDUALS REQUIRED BY THE PRIVACY ACT AND THE PAPERWORK REDUCTION ACT
The solicitation of personal information requested in this application is authorized by the Communications Act of 1934, as amended. The
Commission will use the information provided in this form to determine whether grant of the application is in the public interest. In reaching that
determination, or for law enforcement purposes, it may become necessary to refer personal information contained in this form to another
government agency. In addition, all information provided in this form will be available for public inspection. If information requested on the form is
not provided, the application may be returned without action having been taken upon it or its processing may be delayed while a request is made to
provide the missing information. Your response is required to obtain the requested authorization.
Public reporting burden for this collection of information is estimated to average 639 hours and 53 minutes per response, including the time for
reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of
information. Comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the
burden, can be sent to the Federal Communications Commission, Records Management Branch, Paperwork Reduction Project (3060-0627),
Washington, D. C. 20554. Do NOT send completed forms to this address.
THE FOREGOING NOTICE IS REQUIRED BY THE PRIVACY ACT OF 1974, FL. 93-579, DECEMBER 31, 1974, 5 U.S.C. 552a(e)(3), AND THE
PAPERWORK REDUCTION ACT OF 1980, FL. 96-511, DECEMBER 11,1980,44 U.S.C. 3507.
FCC 302-AM (Page 3)
Auguat 1995

		

PURPOSE OF AUTHORIZATION APPLIED FOR: (check one)

LL.

Station License

Direct Measurement of Power

1. Facilities authorized in construction permit

__________________________________________________________

File No. of Construction Permit
(if applicable)
BP-20150706ACT

Call Sign

VVURN

I Frequency

Power in kilowatts

Hours of Operation

(kHz)
1040

Night
5.0

UNLIMITED

Day
50.0

2. Station location

_______________________________________________________

State

City or Town

Miami

Forda
3. Transmitter location
State

FL

__________________________

County

City or Town

Miami-Dade

Med'ey

4. Main studio location

________________________

State

County

City or Town

FL

Miami-Dade

Dora

5. Remote control point location (specify only if authorized directional antenna)
State

FL

Miami-Dade

_____________________________
Street address
(or other identification)
2O9ONW79thAvenue
_______________________________
Street address
(or other identification)
2090 NW79th Avenue

I City or Town

County

_______________________________
Street address
(or other identification)
End of NW 58th Street

Dora

6. Has type-approved stereo generating equipment been installed?

Yes

No

7. Does the sampling system meet the requirements of 47 C.F.R. Section 73.68?

Yes

No

Not Applicable
Exhibit No.
tern 10

Attach as an Exhibit a detailed description of the sampling system as installed.

8. Operating constants:
RF common point or antenna current (in amperes) without
modulation for night system
10.39
Measured antenna or common point resistance (in ohms) at
operating frequency
Night
Day
50.0
50.0
Antenna indications for directional operation
Antenna monitor
Phase reading(s) in degrees
Towers
Night

_________________________

RF common point or antenna current (in amperes) without
modulation for day system
32.45
Measured antenna or common point reactance (in ohms) at
operating frequency
Night
Day
-7.0

-7.0
_____________________________

_____________________________

Antenna monitor sample
current ratio(s)

Antenna base currents

Day

Night

Day

- 35.9

+ 75

0.379

0.371

2
3
4
5

0.0

0.0

1.000

1.000

+ 4,5

0.505

0.216

+ 71.2

+ 88.3

0.487

0.239

+ 83.7

+ 96.3

0.787

6

+ 43.6

+ 97.1

0.727

15.8

Manufacturer and type of antenna monitor:

Night

Day

0.970

j

0.371

-

Potomac Instruments AM- 901

cc 302-AM (Page 4)
August 1995

		

SECTION III - Page 2
9. Description of antenna system ((f directional antenna is used, the information requested below should be given for each element of
the array. Use separate sheets if necessary.)
Type Radiator

Overall height in meters of
radiator above base
insulator, or above base, if
grounded.

Overall height in meters
above ground (include
obstruction lighting)

87 5

85.3

Uniform Cross Secdon. Guyed
____________

Overall height in meters
above ground (without
obstruction lighting)

1

3 88,4 4

6 87.5

If antenna is either top
loaded or sectionalized,
describe fully
in an
Exhibit.

I

Exhibit No.

I

I

N/A

______________

Excitation

11111

Series

Shunt

Geographic coordinates to nearest second. For directional antenna give coordinates of center of array. For single vertical radiator give
tower location.
North Latitude

25

0

50

'

West Longitude

34

80

°

12

If not fully described above, attach as an Exhibit further details and dimensions including any other
antenna mounted on tower and associated isolation circuits.

Exhibit No.
Executive Summery

Also, if necessary for a complete description, attach as an Exhibit a sketch of the details and
dimensions of ground system.

Exhibit No.
N/A

10. In what respect, if any, does the apparatus constructed differ from that described in the application for construction permit or in the
permit?

11. Give reasons for the change in antenna or common point resistance.

I certify that I represent the applicant in the capacity indicated below and that I have examined the foregoing statement of technical
information and that it is true to the best of my knowledge and belief.
Name (Please Print or Type)

Signature ( ç

7

'..ç.

,/

Ronald D. Rackley, FE.
Address (include ZIP Code)

DTR/H&D Joint Venture do du Treil Lundin & Rackley
201 Fletcher Avenue
Sarasota, FL 34237

Date

'ic

March 13, 2017
Telephone No. (Include Area Code)

941-3296008

Technical Director

Registered Professional Engineer

Chief Operator

Technical Consultant

Other (specify)

FCC 302-AM (Page 5)
August 1995

	
	

Page 1 of 1

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_______

I #

546J3/1ADB3C1

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3/16/2017

Exhibit A
March 14, 2017
This application for license for WURN (1040 kHz, Miami, FL) is one of three which will be
filed as construction is completed for each of the three contingent construction permits
authorized for the three AM stations owned by Actualidad (BP-20 1 50706ACT, BP201 50706ACS and BMP2O16O5O4AAL). As each is filed, program test authority is requested,
although they will not be filed simultaneously.
Although a license will still exist for each frequency at its original transmitting site, operation
pursuant to those original licenses has now ceased, so there is no possibility of interference
despite the contingent nature of the license applications. Therefore there is believed to be no
procedural reason that program test authority cannot be granted for each in succession.

DTRIH&D JOINT VENTURE

APPLICATION FOR LICENSE INFORMATION
RADIO STATION WURN
MIAMI, FLORIDA
1040 KHZ 50 KW - D 5 KW - N U DA-2

March 13, 2017

A Joint Venture of du Treil, Lundin & Rackley, Inc. and Hatfield and Dawson, LLC.

	

DTR/H&D JOINT VENTURE
APPLICATION FOR LICENSE INFORMATION
RADIO STATION WURN
MIAMI, FLORIDA
1040 KHZ 50 KW - D 5 KW - N U DA-2

Table of Contents

Executive Summary
Item 1

Analysis of Tower Impedance Measurements to Verify
Method of Moments Model

Item 2

Derivation of Operating Parameters for Daytime
Directional Antenna

Item 3

Derivation of Operating Parameters for Nighttime
Directional Antenna

Item 4

Method of Moments Model Details for Towers
Driven Individually

Item 5

Method of Moments Model Details for Daytime
Directional Antenna

Item 6

Method of Moments Model Details for Nighttime
Directional Antenna

Item 7

Sampling System Measurements

Item 8

Reference Field Strength Measurements

Item 9

Direct Measurement of Power

Item 10

Antenna Monitor and Sampling System

Item 11

RFR Protection

Item 12

Summary of Post-Construction Certified Array Geometry

Appendix A

Surveyed Post-Construction Array Geometry

A Joint Venture of du Treil, Lundin & Rackley, Inc. and Hatfield and Dawson, LLC.

DTR/H&D JOINT VENTURE

Executive Summary - WURN

This engineering exhibit supports an application for license for the newly constructed
directional antenna system of radio station WURN in Miami, Florida. Construction
Permit BP-20150706ACT authorizes operation with 50 kilowatts in the daytime and 5
kilowatts at night utilizing a six-tower directional antenna system during both daytime
and nighttime hours.
Modifications to the antenna system equipment that was formerly employed by another
radio station on 990 kilohertz at the site have been completed. The towers and ground
system have characteristics in accordance with the terms of the construction permit and
specifications that were provided in the application for construction permit for this facility.
The directional antenna phasing and coupling equipment has been adjusted to produce
the directional antenna patterns authorized by the construction permit.
Tower 2 supports an STL receiving antenna. A coaxial transmission line that is bonded
to tower potential connects the antenna to an isolation inductor at the base of the tower,
through which the signal is carried on to receiving equipment.
Information is provided herein demonstrating that the directional antenna parameters
have been determined in accordance with the requirements of section 73.151(c) of the
FCC Rules. The antenna system has been adjusted to produce antenna monitor
parameters within +1- 5 percent in ratio and +1- 3 degrees in phase of the modeled
values, as required by the Rules.
Information regarding direct measurement of power, the antenna monitor and sampling
system and radiofrequency radiation protection measures at the site is also included
herein.
Program test authority for daytime and nighttime operation with the new WURN
directional antenna system is hereby requested.

Benj. F. Dawson III, P.E.

Ronald D. Rackley, P.E.

March 13, 2017

A Joint Venture of du Treil, Lundin & Rackley, Inc. and Hatfield and Dawson, LLC.

	

,Item 1

Analysis of Tower Impedance Measurements to Verify Method of Moments Model - WURN
Tower base impedance measurements were made at the final J-plugs within the antenna
tuning units ("ATUs") using an Advantest R3754B network analyzer and a Tunwall Radio
directional coupler in a calibrated measurement system. The other towers were all open
circuited at the same points where impedance measurements were made for them (the
"reference points") for each of the measurements.
The reference point at each tower is adjacent to the sampling transformer of the antenna
monitor system at the output of the ATU enclosure. The current passes directly from that point
over conductors through the enclosure insulator and on to the tower above the base insulator.
There are no adjustable shunt components following the sampling transformers. An assumed
value for the sum of the base insulator and base region stray capacitances and the measured
reactance of the tower lighting choke across the ATU output were employed in the base circuit
calculations for each tower. In addition, an inductance representing the STL isolation coil
across the base of tower 2 was included in the analysis. Circuit calculations were performed to
relate the method of moments modeled impedances of the tower feedpoints to the ATU output
measurement (reference) points as shown on the following pages. The Xoc shown for each
tower, which was calculated for the assumed base conditions, was used in the method of
moments model as a load at ground level for the open circuited case.
In addition to the page showing the schematic of the assumed circuit and tabulation of
calculated values, pages showing the results of calculations using the WCAP network analysis
program from Westberg Consulting are provided. WCAP performs such calculations using
nodal analysis, as do other modern circuit analysis programs such as the commonly available
ones based on SPICE software.
In each of the WCAP tabulations, node 2 represents the ATU output reference point and node
3 represents the tower feedpoint. Node 0 represents ground potential. The numerals in the
file names shown on the tabulations correspond to the tower numbers. It should be noted that
the calculated reference point impedances appear under the "TO NODE IMPEDANCE"
columns of the WCAP tabulations, following the phantom 1 .0 ohm resistors (R 1 - 2) that were
included in series with the drive current sources (I 0 -1)) to provide calculation points for the
impedances. The tower base impedances from the method of moments model are
represented by complex loads from node 3 to ground (R 3 - 0). The shunt capacitive
reactances shown for the towers on the schematic were used for the calculations, although
they only appear to the nearest 0.0001 microfarad on the WCAP printout due to rounding.
The modeled and measured base impedances at the ATU output jacks with the other towers
open circuited at their filter unit output jacks agree within ^1- 2 ohms and +1- 4 percent for
resistance and reactance, as required by the FCC Rules.

L(uH)
Z Reference
STL
Isolation
Co i
188.6 uH
+j 1232

Tower Lighting
Choke
943.1 uH
+j 6163
(All Towers)

Stray
Capacitance
25 pF
-j 6121.
(All Towers)

(Tower 2 Only)

TOWER

L(uH)

1

4.882

+j

31.9

2

3.081

+

j

20.1

3

4.744

+ j 31.0

4

5.494

+

5

6

XL

d)
_____ _____

-j

513,112

109.6

+j

178.3

108.5 +1208.2

109.7 +j 210.2

+ j 1,235

111.0 +j 175.3

84.0 +j 179.2

81.5 +j 177.1

- j 519,363

99.0 +j 153.5

98.0 +j 192.7

98.8+1 194.7

35.9

- j 487,079

98.4 +j 159.4

97.4 +j 193.3

98.0 +j 195.3

5.555

+j 36.3

-j 484,622

102.6 +j 155.4

101.5 +j 189.7

102.8 +j 191.7

5.035

+j

-j 506,343

98.3 -i-i 162.6

97.3 +j 193.7

99.1 +j 195.5

j

32.9

ANALYSIS OF TOWER IMPEDANCE MEASUREMENTS TO
VERIFY METHOD OF MOMENTS MODEL
RADIO STATION WURN
MIAMI, FLORIDA
1040 KHZ 50 KW-D 5 KW-N U DA-2
DTRIH&D JOINT VENTURE

	

Tower I Individually Driven Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME = WURN1OC.TXT
I
R
L
L
C
R
EX

1.0000
1.0000
943.1000
4.8820
.0000
109.5700
.0000

0
1
2
2
3
3
0

1
2
0
3
0
0
0

.0000
.0000
.0000
.0000
.0000
178.2700
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

FREQ = 1.040
NODE
1
2
3

REACTANCE
R
1L
2L
2C
3R
3-

VOLT NAG
235.2601
234.7963
208.2446

VOLT PHASE
62.2559
62.4719
58.4118
BRANCH VOLTAGE
MAO
PHASE

VSWR
1.000
943.100
4.882
.000
109.570

2
0
3
0
0

1.00
234.80
30.83
208.24
208.24

.000
62.472
91.044
58.412
58.412

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAO
PHASE RESISTANCE REACTANCE RESISTANCE
1.00
.04
.97
.03
1.00

.000
-27.528
1.044
148.412
-.012

109.52
.00
116.20
.00
109.57

208.21
6162.70
213.38
-6121.34
178.27

108.52
.00
116.20
.00
.00

208.21
.00
181.48
.00
.00

Tower 2 Individually Driven Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME
I
R
L
L
L
C
B
EX

WURN2DC.TXT

1.0000
1.0000
943.1000
3.0810
188.6000
.0000
110.9600
.0000

0
1
2
2
3
3
3
0

1
2
0
3
0
0
0
0

.0000
.0000
.0000
.0000
.0000
.0000
175.3000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000

FREQ = 1.040
NODE
1
2
3

REACTANCE
R
1L
2L
2L
3C
3B
3-

VOLT MAG
198.3326
197.9060
180.5263

2
0
3
0
0
0

VERA
1.000
943.100
3.081
188.600
.000
110.960

VOLT PHASE
64.6184
64.8800
62.1664
BRANCH VOLTAGE
MAG
PHASE
1.00
197.91
19.55
180.53
180.53
180.53

.000
64.880
90.804
62.166
62.166
62.166

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAG
PHASE RESISTANCE REACTANCE RESISTANCE
1.00
.03
.97
.15
.03
.87

.000
-25.120
.804
-27.834
152.166
4.499

85.01
.00
89.10
.00
.00
110.96

179.19
6162.70
183.30
1232.41
-6121.34
175.30

84.01
.00
89.10
.00
.00
.00

179.19
.00
163.17
.00
.00
.00

	

Tower 3 Individually Driven Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME
I
R
L
L
C
R
EM

WURN3OC.TXT

1.0000
1.0000
943.1000
4.7440
.0000
98.9500
.0000

0
1
2
2
3
3
0

1
2
0
3
0
0
0

.0000
.0000
.0000
.0000
.0000
163.4700
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

FREQ = 1.040
NODE
1
2
3

REACTANCE
R
1L
2L
2C
3R
3-

VOLT MAO
216.6665
216.2113
190.1881

VOLT PHASE
62.8044
63.0401
58.8022
BRANCH VOLTAGE
MAG
PHASE

VSMR
1.000
943.100
4.744
.000
98.950

2
0
3
0
0

1.00
216.21
30.03
190.19
190.19

.000
63.040
90.941
58.802
58.802

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAG
PHASE RESISTANCE REACTANCE RESISTANCE
1.00
.04
.97
.03
1.00

.000
-26.960
.941
148.802
-.011

99.02
.00
104.43
.00
98.95

192.71
6162.70
197.22
-6121.34
163.47

98.02
.00
104.43
.00
.00

192.71
.00
166.22
.00
.00

Tower 4 Individually Driven Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME
I
R
L
L
C
R
EX

MURN4OC.TXT

1.0000
1.0000
943.1000
5.4940
.0000
98.4200
.0000

0
1
2
2
3
3
0

1
2
0
3
0
0
0

.0000
.0000
.0000
.0000
.0000
159.4100
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

FREQ = 1.040
NODE
1
2
3

REACTANCE
R
1L
2L
2C
3R
3-

VOLT MAO
216.8739
216.4222
186.3201

2
0
3
0
0

VSWR
1.000
943.100
5.494
.000
98.420

VOLT PHASE
63.0333
63.2692
58.2973
BRANCH VOLTAGE
MAO
PHASE
1.00
216.42
34.78
186.32
186.32

.000
63.269
90.934
58.297
58.297

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAO
PHASE RESISTANCE REACTANCE RESISTANCE
1.00
.04
.97
.03
.99

.000
-26.731
.934
148.297
-.011

98.35
.00
103.73
.00
98.42

193.29
6162.70
197.86
-6121.34
159.41

97.35
.00
103.73
.00
.00

193.29
.00
161.96
.00
.00

	

Tower 5 Individually Driven Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME
I
R
L
L
C
R
EX

WURN5OC.TXT

1.0000
1.0000
943.1000
5.5550
.0000
102.6000
.0000

FREQ

0
1
2
2
3
3
0

1
2
0
3
0
0
0

.0000
.0000
.0000
.0000
.0000
155.3800
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

1.040

NODE
1
2
3

REACTANCE
R
1L
2L
2C
3R
3-

VOLT MAD
215.5872
215.1137
185.1666

VOLT PHASE
61.6217
61.8561
56.5505
BRANCH VOLTAGE
MAD
PHASE

VSWR
1.000
943.100
5.555
.000
102.600

2
0
3
0
0

1.00
215.11
35.19
185.17
185.17

.000
61.856
90.973
56.551
56.551

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
NAG
PHASE RESISTANCE REACTANCE RESISTANCE
1.00
.03
.97
.03
.99

.000
-28.144
.973
146.551
-.012

102.47
.00
107.98
.00
102.60

189.68
6162.70
193.87
-6121.34
155.38

101.47
.00
107.98
.00
.00

189.68
.00
157.57
.00
.00

Tower 6 Individually Driven Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME
I
R
L
L
C
R
EX

WURN6OC.TXT

1.0000
1.0000
943.1000
5.0350
.0000
98.3100
.0000

0
1
2
2
3
3
0

1
2
0
3
0
0
0

.0000
.0000
.0000
.0000
.0000
162.6400
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

FREQ = 1.040
NODE
1
2
3

REACTANCE
R
1L
2L
2C
3R
3-

VOLT MAG
217.2083
216.7574
189.0948

2
0
3
0
0

VSMR
1.000
943.100
5.035
.000
98.310

VOLT PHASE
63.0828
63.3185
58.8375
BRANCH VOLTAGE
MAD
PHASE
1.00
216.76
31.87
189.09
189.09

.000
63.319
90.934
58.838
58.838

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAD
PHASE RESISTANCE REACTANCE RESISTANCE
1.00
.04
.97
.03
1.00

.000
-26.681
.934
148.838
-.011

98.33
.00
103.72
.00
98.31

193.68
6162.70
198.27
-6121.34
162.64

97.33
.00
103.72
.00
.00

193.68
.00
165.37
.00
.00

Item 2

Derivation of Operating Parameters for Daytime Directional Antenna - WURN

The method of moments model of the array, following verification with the measured
individual open circuited base impedances, was utilized for directional antenna calculations.
Calculations were made to determine the complex voltage values for sources located at
ground level under each tower of the array to produce current moment sums for the towers
that, when normalized, equated to the theoretical field parameters of the authorized
directional antenna pattern. With these voltage sources, the tower currents were calculated.
The currents at the ATU unit outputs, where the antenna monitor samples are taken, were
calculated from the method of moments tower currents for directional antenna operation
using WCAP circuit modeling with the assumptions that were derived from the single tower
measurements on the array and the method of moments calculated tower operating
impedances. In each of the following WCAP tabulations, node 2 represents the reference
point and node 3 represents the tower feed point. Node 0 represents ground potential. The
tower operating impedances are represented by complex loads from node 3 to ground (R 3 0). It should be noted that the calculated reference point current magnitudes and phases
appear in the first and fourth columns following the drive current sources (I 0 -1)). As the
current transformers and sampling lines are identical, the antenna monitor ratios and phases
corresponding to the theoretical parameters were calculated directly from the modeled
reference point currents.

__________

____________

Modeled
Current
Magnitude @
Toroid
(amperes)

1

1

6.873

+15.2

0.371

+7.5

2

21

18.478

+7.7

1.000

0.0

3

41

3.999

+12.2

0.216

^4.5

4

61

4.424

+96.0

0.239

+88.3

5

81

17.922

+104.0

0.970

+96.3

6

101

6.847

+104.8

0.371

+97.1

TOWER

Modeled
Current Pulse

Modeled
Current
Phase ©
Toroid
(degrees)

Modeled
Antenna
Monitor Ratio
____________

Modeled
Antenna
Monitor Phase
(degrees)
____________

	

Tower I Day DA Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME
I
R
L
L
C
R
EX

WURN1DAD.TXT

687.2430
1.0000
943.1000
4.8820
.0000
101.2300
.0000

0
1
2
2
3
3
0

1
2
0
3
0
0
0

15.2000
.0000
.0000
.0000
.0000
111.3600
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

FREQ = 1.040
NODE
1
2
3

VOLT MAD
119825.0000
119427.3000
102915.7000

REACTANCE
R
1L
2L
2C
3R
3-

2
0
3
0
0

VOLT PHASE
69.7064
69.9749
62.9169
BRANCH VOLTAGE
MAD
PRASE

VSNR
1.000
687.25
943.100 119427.30
4.882
21422.03
.000 102915.70
101.230 102915.70

15.200
69.975
106.154
62.917
62.917

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAD
PHASE RESISTANCE REACTANCE RESISTANCE
687.25
19.38
671.51
16.81
683.85

15.200
-20.025
16.154
152.917
15.189

101.23
.00
104.99
.00
101.23

141.96
6162.70
143.56
-6121.34
111.36

100.23
.00
104.99
.00
.00

141.96
.00
111.66
.00
.00

Tower 2 Day DA Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME = WURN2DAD.TXT
I
1847.8000
R
1.0000
L
943.1000
L
3.0810
L
188.6000
C
.0000
R
154.5200
EX
.0000

0
1
2
2
3
3
3
0

1
2
0
3
0
0
0
0

7.7000
.0000
.0000
.0000
.0000
.0000
189.4600
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000

FREQ = 1.040
NODE
1
2
3

REACTANCE
R
1L
2L
2L
3C
3R
3-

VOLT MAD
419363.9000
418430.2000
388110.9000

2
0
3
0
0
0

VSMR
1.000
943.100
3.081
188.600
.000
154.520

VOLT PHASE
67.2405
67.4586
64.6915
BRANCH VOLTAGE
MAD
PHASE
1847.80
418430.20
36027.12
388110.90
388110.90
388110.90

7.699
67.459
98.795
64.692
64.692
64.692

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAO
PHASE RESISTANCE REACTANCE RESISTANCE
1847.80
67.90
1789.47
314.92
63.40
1587.48

7.699
-22.541
8.795
-25.308
154.692
13.892

Currents are multiplied X 100 for improved resolution.

115.05
.00
121.61
.00
.00
154.52

195.63
6162.70
199.72
1232.41
-6121.34
189.46

114.05
.00
121.61
.00
.00
.00

195.63
.00
179.59
.00
.00
.00

	

Tower 3 Day DA Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME
I
R
L
L
C
R
EX

WURN3OAO.TXT

399.8800
1.0000
943.1000
4.7440
.0000
47.5940
.0000

0
1
2
2
3
3
0

1
2
0
3
0
0
0

12.2000
.0000
.0000
.0000
.0000
31.9830
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

FREQ = 1.040
NOOE
1
2
3

REACTANCE
R
1L
2L
2C
3R
3-

VOLT MAG
31544.8200
31302.4700
22816.5400

2
0
3
0
0

VOLT PHASE
64.6066
65.1866
46.0958
BRANCH VOLTAGE
NAG
PHASE

VSNR
1.000
943.100
4.744
.000
47.594

399.88
31302.47
12270.81
22816.54
22816.54

12.200
65.187
102.643
46.096
46.096

BRANCH CURRENT FROM MOOR IMPEOANCE TO MOOR IMPEOANCE
NAG
PHASE RESISTANCE REACTANCE RESISTANCE
399.88
5.08
395.84
3.73
397.90

12.200
-24.813
12.643
136.096
12.195

48.12
.00
48.09
.00
47.59

62.51
6162.70
62.77
-6121.34
31.98

47.12
.00
48.09
.00
.00

62.51
.00
31.78
.00
.00

Tower 4 Day DA Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME = WURN4OAO.TXT
I
R
L
L
C
R
EX

442.4300
1.0000
943.1000
5.4940
.0000
-54.5470
.0000

0
1
2
2
3
3
0

1
2
0
3
0
0
0

96.0000
.0000
.0000
.0000
.0000
159.6200
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

FREQ = 1.040
NOOE
1
2
3

REACTANCE
R
1L
2L
2C
3R
3-

VOLT NAG
88763.9900
88881.7900
74222.2400

2
0
3
0
0

VSWR
1.000
943.100
5.494
.000
-54.547

VOLT PHASE
-158.6966
-158.4215
-155.1268
BRANCH VOLTAGE
MAO
PHASE
442.43
88881.79
15385.38
74222.24
74222.24

96.000
-158.421
-174.518
-155.127
-155.127

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
NAG
PHASE RESISTANCE REACTANCE RESISTANCE
442.43
14.42
428.55
12.13
440.01

96.000
111.579
95.482
-65.127
96.006

Currents are multiplied X 100 for improved resolution.

-52.95
.00
-57.50
.00
-54.55

193.51
6162.70
199.27
-6121.34
159.62

-53.95
.00
-57.50
.00
.00

193.51
.00
163.37
.00
.00

	

Tower 5 Day DA Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME = WURN5DAD.TXT
I
1792.2003
R
1.0300
L
943.1000
L
5.5550
C
.3000
R
22.5930
EX
.0000

0
1
2
2
3
3
0

1
2
0
3
0
0
0

104.0000
.0000
.0000
.0000
.0000
136.0400
.0000

.0000
.3330
.0000
.0003
.0000
.0003
.0000

.0000
.0000
.0000
.0000
.0000
.3000
.0000

FREQ = 1.340
NODE
1
2
3

VOLT MAO
308552.7000
308314.8000
245771.5000

REACTANCE
R
1L
2L
2C
3R
3-

2
0
3
3
0

VOLT PHASE
-173.7920
-173.4620
-175.4320
BRANCH VOLTAGE
MAC
PHASE

VSMR
1.000
1792.20
104.000
943.103 308314.80
-173.462
5.555
63255.28
-165.786
.000 245771.50 -175.432
22.593 245771.50
-175.432

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAO
PHASE RESISTANCE REACTANCE RESISTANCE
1792.20
50.33
1742.61
40.15
1782.20

104.000
96.538
104.214
-85.432
103.897

23.34
.00
23.63
.00
22.59

170.57
6162.70
171.34
-6121.34
136.04

22.34
.00
23.63
.00
.00

170.57
.00
139.04
.00
.00

Tower 6 Day DA Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME = WURN6DAD.TXT
I
R
L
L
C
R
EX

684.6700
1.0000
943.1000
5.0350
.0000
-11.7870
.0000

0
1
2
2
3
3
3

1
2
0
3
0
0
0

104.8000
.0100
.0000
.0000
.0000
164.5200
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0030
.0000
.0000
.0000
.0000
.0000

FRED = 1.040
NODE
1
2
3

REACTANCE
R
1L
2L
2C
3R
3-

VOLT MAG
134390.5000
134129.6000
112367.2000

2
0
3
0
0

VOLT PHASE
-162.0770
-161.7850
-161.1007
BRANCH VOLTAGE
MAG
PHASE

VSWR
1.000
684.67
943.100 134129.60
5.035
21811.73
.000 112367.20
-11.787 112367.20

104.800
-161.785
-165.312
-161.101
-161.101

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAG
PHASE RESISTANCE REACTANCE RESISTANCE
684.67
21.76
662.94
18.36
681.25

104.800
108.215
104.688
-71.101
304.801

Currents are multiplied X 100 for improved resolution.

-10.67
.00
-12.45
.00
-11.79

195.56
6162.70
201.94
-6121.34
164.52

-11.67
.00
-12.45
.00
.00

195.56
.00
169.04
.00
.00

Item 3

Derivation of Operating Parameters for Nighttime Directional Antenna - WURN

The method of moments model of the array, following verification with the measured
individual open circuited base impedances, was utilized for directional antenna calculations.
Calculations were made to determine the complex voltage values for sources located at
ground level under each tower of the array to produce current moment sums for the towers
that, when normalized, equated to the theoretical field parameters of the authorized
directional antenna pattern. With these voltage sources, the tower currents were calculated.
The currents at the ATU unit outputs, where the antenna monitor samples are taken, were
calculated from the method of moments tower currents for directional antenna operation
using WCAP circuit modeling with the assumptions that were derived from the single tower
measurements on the array and the method of moments calculated tower operating
impedances. In each of the following WCAP tabulations, node 2 represents the reference
point and node 3 represents the tower feedpoint. Node 0 represents ground potential. The
tower operating impedances are represented by complex loads from node 3 to ground (R 3 0). It should be noted that the calculated reference point current magnitudes and phases
appear in the first and fourth columns following the drive current sources (I 0 -1)). As the
current transformers and sampling lines are identical, the antenna monitor ratios and phases
corresponding to the theoretical parameters were calculated directly from the modeled
reference point currents.

Modeled
Current
Magnitude @
Toroid
(amperes)

Modeled
Current
Phase ©
Toroid
(degrees)

Modeled
Antenna
Monitor Ratio

Modeled
Antenna
Monitor Phase
(degrees)

TOWER

Modeled
Current Pulse

__________

____________

1

1

2.042

-30.6

0.379

-35.9

2

21

5.391

+5.3

1.000

0.0

3

41

2.721

-10.5

0.505

-15.8

4

61

2.625

+76.5

0.487

+71.2

5

81

4.243

+89.0

0.787

+83.7

6

101

3.918

+48.9

0.727

+43.6

____________

____________

	

Tower I Night DA Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME = MURN1DAN.TXT
I
R
L
L
C
R
EX

2041600
1.0000
943.1000
4.8820
.0000
257.0600
.0000

0
1
2
2
3
3
0

1
2
0
3
0
0
0

3294000
.0000
.0000
.0000
.0000
129.5000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

FREQ = 1.040
VOLT NAG
61534.5200
61361.5200
58476.7800

NODE
1
2
3

REACTANCE
R
1L
2L
2C
3R
3-

2
0
3
0
0

VOLT PHASE
1.4208
1.5219
-3.8907
BRANCH VOLTAGE
NAG
PHASE

VSWR
1.000
943.100
4.882
.000
257.060

204.16
61361.52
6349.81
58476.78
58476.78

-30.600
1.522
61.828
-3.891
-3.891

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAG
PHASE RESISTANCE REACTANCE RESISTANCE
204.16
9.96
199.04
9.55
203.16

-30.600
-88.476
-28.172
86.109
-30.628

255.55
.00
267.80
.00
257.06

159.81
6162.70
152.71
-6121.34
129.50

254.55
.00
267.80
.00
.00

159.81
.00
120.81
.00
.00

Tower 2 Night DA Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME = WURN2DAN.TXT
I
R
L
L
L
C
R
EX

539. 1300
1.0000
943.1000
3.0810
188.6000
.0000
102.3000
.0000

FREQ

0
1
2
2
3
3
3
0

1
2
0
3
0
0
0
0

5.3000
.0000
.0000
.0000
.0000
.0000
178.7900
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000

1.040

NODE
1
2
3

REACTANCE
R
1L
2L
2L
33C
R
3-

VOLT MAO
106196.9000
105984.1000
96441.0500

2
0
3
0
0
0

VOLT PHASE
71.9257
72.1932
69.6617
BRANCH VOLTAGE
NAG
PHASE

VSWR
1.000
539.13
943.100 105984.10
3.081
10536.63
96441.05
188.600
.000
96441.05
102.300
96441.05

5.301
72.193
96.039
69.662
69.662
69.662

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAG
PHASE RESISTANCE REACTANCE RESISTANCE
539.13
17.20
523.36
78.25
15.75
468.19

5.301
-17.807
6.039
-20.338
159.662
9.439

Currents are multiplied X 100 for improved resolution.

78.15
.00
81.87
.00
.00
102.30

180.81
6162.70
185.22
1232.41
-6121.34
178.79

77.15
.00
81.87
.00
.00
.00

180.81
.00
165.09
.00
.00
.00

	

Tower 3 Night DA Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME = WURN3DAN.TXT
272.0500
1.0000
943.1000
4.7440
.0000
147.0500
.0000

I
R
L
L
C
R
EX

0
1
2
2
3
3
0

1
2
0
3
0
0
0

3495000
.0000
.0000
.0000
.0000
116.3900
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

FREQ = 1.040
NODE
1
2
3

VOLT MAO
56307.0200
56114.5800
50775.5000

REACTANCE
R
1L
2L
2C
3R
3-

2
0
3
0
0

VOLT PHASE
34.3847
34.5807
27.8455
BRANCH VOLTAGE
MAO
PHASE

VSMR
1.000
943.100
4.744
.000
147.050

272.05
56114.58
8236.01
50775.50
50775.50

-10.500
34.581
80.887
27.846
27.846

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAG
PHASE RESISTANCE REACTANCE RESISTANCE
272.05
9.11
265.68
8.29
270.75

-10.500
-55.419
-9.113
117.846
-10.516

146.64
.00
152.71
.00
147.05

146.06
6162.70
145.91
-6121.34
116.39

145.64
.00
152.71
.00
.00

146.06
.00
114.91
.00
.00

Tower 4 Night DA Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME = MURN4DAN.TXT
I
R
L
L
C
R
EX

262.5400
1.0000
943.1000
5.4940
.0000
-14.0940
.0000

FREQ

0
1
2
2
3
3
0

1
2
0
3
0
0
0

76.5000
.0000
.0000
.0000
.0000
117.4600
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

1.040

NODE
1
2
3

REACTANCE
R
1L
2L
2C
3R
3-

VOLT NAG
40004.1800
40027.3300
30886.6500

2
0
3
0
0

VSWR
1.000
943.100
5.494
.000
-14.094

VOLT PHASE
171.3708
171.7452
173.3438
BRANCH VOLTAGE
NAG
PHASE
262.54
40027.33
9193.17
30886.65
30886.65

76.500
171.745
166.367
173.344
173.344

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
HAG
PHASE RESISTANCE REACTANCE RESISTANCE
262.54
6.50
256.07
5.05
261.08

76.500
81.745
76.367
-96.656
76.502

Currents are multiplied X 100 for improved resolution.

-12.94
.00
-14.65
.00
-14.09

151.82
6162.70
155.62
-6121.34
117.46

-13.94
.00
-14.65
.00
.00

151.82
.00
119.72
.00
.00

	

Tower 5 Night DA Base Circuit Analysis

CIRCUIT ANALYSIS PROC-RAN

FILE NAME = WURN5DAN.TXT
I
R
L
L
C
R
EM

424.2900
1.0000
943.1000
5.5550
.0000
8.3890
.0000

0
1
2
2
3
3
0

1
2
0
3
0
0
0

89.0000
.0000
.0000
.0000
.0000
143.0500
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

FREQ = 1.040
NODE
1
2
3

VOLT MAO
75378.3500
75362.1100
60416.7700

REACTANCE
R
1L
2L
2C
3R
3-

2
0
3
S
0

VOLT PHASE
176.6456
176.9878
176.4300
BRANCH VOLTAGE
MAG
PHASE

VSWR
1.000
943.100
3.353
.000
6.369

424.29
75362.11
14957.79
60416.77
60416.77

89.000
176.968
179.060
176.450
176.450

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAD
PHASE RESISTANCE REACTANCE RESISTANCE
424.29
12.23
412.07
9.87
421.93

89.000
86.968
89.060
-93.550
88.999

7.30
.00
6.68
.00
6.37

177.51
6162.70
182.77
-6121.34
143.09

6.30
.00
6.68
.00
.00

177.91
.00
146.47
.00
.00

Tower 6 Night DA Base Circuit Analysis

CIRCUIT ANALYSIS PROGRAM

FILE NAME = MDRN6DAN.TXT
I
R
L
L
C
R
EX

391.8300
1.0000
943.1000
5.0350
.0000
39.5700
.0000

FRNQ

0
1
2
2
3
3
0

1
2
0
3
0
0
0

48.9000
.0000
.0000
.0000
.0000
133.2200
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

.0000
.0000
.0000
.0000
.0000
.0000
.0000

1.040

NODE
1
2
3

REACTANCE
R
1L
2L
2C
3R
3-

VOLT MAD
66375.5400
66283.7200
54178.3700

2
0
3
0
0

VSWR
1.000
943.100
5.035
.000
39.570

VOLT PHASE
125.1822
123.3112
122.3527
BRANCH VOLTAGE
MAO
PHASE
391.83
66283.72
12547.72
54178.57
54178.57

48.900
123.511
139.274
122.353
122.353

BRANCH CURRENT FROM NODE IMPEDANCE TO NODE IMPEDANCE
MAG
PHASE RESISTANCE REACTANCE RESISTANCE
391.83
10.76
381.37
8.83
389.85

48.900
35.511
49.274
-147.647
48.896

Currents are multiplied X 100 for improved resolution.

40.17
.00
41.35
.00
39.57

164.57
6162.70
168.81
-6121.34
133.22

39.17
.00
41.35
.00
.00

164.57
.00
135.91
.00
.00

Item 4

Method of Moments Model Details for Towers Driven Individually - WURN

The array of towers was modeled using Expert MININEC Broadcast Professional Version
14.5. One wire was used to represent each tower. The tower geometry was specified using
the geographic coordinate system. Each tower was modeled using 20 wire segments. As
the towers are physically 106.6 degrees in electrical height, the segment length is 5.33
electrical degrees.
The individual tower characteristics were adjusted to provide a match of their modeled
impedances, when presented to a circuit model which included branches representing the
shunt capacitances and feedline hookup inductances, with the base impedances that were
measured at the output jacks of the filter units while the other towers of the array were open
circuited. The method of moments model assumed loads at ground level having the
reactances that were calculated for them using the base circuit models for the open circuited
towers of the array.
Each tower's modeled height relative to its physical height falls within the required range of
75 to 125 percent and each modeled radius falls within the required range of 80 percent to
150 percent of the radius of a circle having a circumference equal to the sum of the widths of
the tower sides. The array consists of identical, triangular uniform cross section towers
having a face width of 18 inches.

TOWER

Physical Height
(degrees)

Modeled
Height
(degrees)

Modeled
Percent of
Height

Modeled
Radius
(meters)

Percent
Equivalent
Radius

1

106.6

115.1

108.0

0.218

100

2

106.6

115.1

108.0

0.218

100

3

106.6

113.1

106.1

0.218

100

4

106.6

112.5

105.5

0.218

100

5

106.6

112.5

105.5

0.218

100

6

106.6

112.9

105.9

0.218

100

The following pages show the details of the method of moments models for the individually
driven towers. The numerals in the file names shown on the tabulations correspond to the
tower numbers.

	

Tower I Driven Individually

C: \MBPRO\WURN1OC 03-10-2017
IMPEDANCE
normalization = 50.
freq
resist
react
(MHz)
(ohms)
(ohms)
source = 1; node 1, sector
1.04
109.57
178.27

12:23:08

imped
(ohms)
1
209.25

phase
)deg)

VSWR

Sl1
dB

S12
dB

58.4

8.3286

-2.0959

-4.17

GEOMETRY
Wire coordinates in degrees; other dimensions in meters
Environment: perfect ground
wire
1

caps Distance
none0

Angie
0
0
180.
180.
180.
180.
193.4
193.4
206.
206.
275.
275.

0

2
3
4
5
6

none 201.7
201.7
none 403.4
403.4
none 406.2
406.2
none 215.1
215.1
none 94.5
94.5

Z
0
115.1
0
115.1
0
113.1
0
112.5
0
112.5
C
112.9

radius
.218

segs
20

.218

20

.218

20

.218

20

.218

20

.218

20

Number of wires
6
current nodes = 120

Individual wires
segment length
radius

minimum
wire
value
4
5.625
1
.218

ELECTRICAL DESCRIPTION
Frequencies (MHz)
frequency
no. lowest
step
1
1.04
0
Sources
source node
1

sector
1

maximum
wire value
1
5.755
1
.218

no. of segment length (wavelengths)
steps
minimum
maximum
1
.015625
.0159861

magnitude
1.

phase
0

type
voltage

Lumped loads
load
1
2
3
4
5

node
21
41
61
81
101

resistance
(ohms)
0
0
0
0
0

reactance
(ohms)
1,235.
-519,363.
-487,079.
-484,622.
-506,343.

inductance
(mE)
0
0
0
0
0

capacitance passive
(uF)
circuit
0
0
0
0
0
0
0
0
0
0

	

Tower 2 Driven Individually
C:\MBPRO\WURN2OC 03-10-2017

12:26:02

IMPEDANCE
normalization = 50.
freq
resist
react
imped
(MHz)
(ohms)
(ohms)
(ohms)
source = 1; node 21, sector 1
175.3
1.04
207.46
110.96

C:\MBPRO\WURN2OC 03-10-2017

phase
(deg)

VSWR

Sll
dB

S12
dB

57.7

8.0847

-2.1598

-4.069

12:26:29

GEOMETRY
Wire coordinates in degrees; other dimensions in meters
Environment: perfect ground
wire
1
2
3
4
5
6

caps Distance
none0
0
none 201.7
201.7
none 403.4
403.4
none 406.2
406.2
none 215.1
215.1
none 94.5
94.5

Angle
0
0
180.
180.
180.
180.
193.4
193.4
206.
206.
275.
275.

Z
0
115.1
0
115.1
0
113.1
0
112.5
0
112.5
0
112.9

radius
.218

segs
20

.218

20

.218

20

.218

20

.218

20

.218

20

Number of wires
6
current nodes = 120

Individual wires
segment length
radius

minimum
wire
value
4
5.625
1
.218

ELECTRICAL DESCRIPTION
Frequencies (MHz)
frequency
no. lowest
step
1
1.04
0
Sources
source node
1
21

sector
1

maximum
wire value
1
5.755
1
.218

no. of segment length (wavelengths)
steps
minimum
maximum
1
.015625
.0159861

magnitude
1.

phase
0

type
voltage

Lumped loads
load
1
2
3
4
5

node
1
41
61
81
101

resistance
(ohms)
0
0
0
0
0

reactance
(ohms)
-513,112.
-519,363.
-487,079.
-484,622.
-506,343.

inductance
(mH)
0
0
0
0
0

capacitance passive
(uF)
circuit
0
0
0
0
0
0
0
0
0
0

	

Tower 3 Driven Individually
C:\MBPRO\WtJRN3OC

03-10-2017

12:28:06

IMPEDANCE
normalization = 50.

freq
resist
react
imped
(MHz)
(ohms)
(ohms)
(ohms)
source = 1; node 41, sector 1
1.04
98.952
163.47
191.09

phase
(deg)

VSWR

Sil
dB

Sl2
dB

58.8

7.7565

-2.2522

-3.9294

GEOMETRY
Wire coordinates in degrees; other dimensions in meters
Environment: perfect ground
wire
1
2
3
4
5
6

caps Distance
norie0
0
none 201.7
201.7
none 403.4
403.4
none 406.2
406.2
none 215.1
215.1
none 94.5
94.5

Angle
0
0
180.
180.
180.
180.
193.4
193.4
206.
206.
275.
275.

Z
0
115.1
0
115.1
0
113.1
0
112.5
0
112.5
0
112.9

radius
.218

segs
20

.218

20

.218

20

.218

20

.218

20

.218

20

Number of wires
6
=
current nodes = 120
minimum
wire
value
4
5.625
1
.218

Individual wires
segment length
radius

maximum
wire value
1
5.755
1
.218

ELECTRICAL DESCRIPTION
Frequencies (MHz)

frequency
no. lowest
1
1.04
Sources
source node
1

41

no. of segment length (wavelengths)
steps
minimum
maximum
1
.015625
.0159861

step
0

sector
1

magnitude
1.

phase
0

type
voltage

Lumped loads
load
1
2
3
4
5

node
1
21
61
81
101

resistance
(ohms)
0
0
0
0
0

reactance
(ohms)
-513,112.
1,235.
-487,079.
-484,622.
-506,343.

inductance
(mH)
0
0
0
0
0

capacitance passive
(uF)
circuit
0
0
0
0
0
0
0
0
0
0

	

Tower 4 Driven Individually
C:\MBPRO\WtJRN4OC

03-10-2017

12:29:44

IMPEDANCE
normalization = 50.
freq
resist
react
imped
(MHz)
(ohms)
(ohms)
(ohms)
source = 1; node 61, sector 1
1.04
98.421
159.41
187.35

phase
(deg)

VSWR

Sll
dB

S12
dE

58.3

7.5071

-2.3279

-3.8203

GEOMETRY
Wire coordinates in degrees; other dimensions in meters
Environment: perfect ground
wire
1
2
3
4
5
6

caps Distance
none0
0
none 201.7
201.7
none 403.4
403.4
none 406.2
406.2
none 215.1
215.1
none 94.5
94.5

Angle
0
0
180.
180.
180.
180.
193.4
193.4
206.
206.
275.
275.

Z
0
115.1
0
115.1
0
113.1
0
112.5
0
112.5
0
112.9

radius
.218

segs
20

.218

20

.218

20

.218

20

.218

20

.218

20

Number of wires
6
=
current nodes = 120

Individual wires
segment length
radius

minimum
wire
value
4
5.625
1
.218

ELECTRICAL DESCRIPTION
Frequencies (MHz)
frequency
no. lowest
step
1
1.04
0
Sources
source node
1
61

sector
1

maximum
wire value
1
5.755
1
.218

no. of segment length (wavelengths)
steps
minimum
maximum
1
.015625
.0159861

magnitude
1.

phase
0

type
voltage

Lumped loads
load
1
2
3
4
5

node
1
21
41
81
101

resistance
(ohms)
0
0
0
0
0

reactance
(ohms)
-513,112.
1,235.
-519,363.
-484,622.
-506,343.

inductance
(mM)
0
0
0
0
0

capacitance passive
(uF)
circuit
0
0
0
0
0
0
0
0
0
0

	

Tower 5 Driven Individually
C:\MBPRO\WURN5OC 03-10-2017

12:31:08

IMPEDANCE
normalization = 50.
freq
resist
imped
react
(MHz)
(ohms)
(ohms)
(ohms)
source = 1; node 81, sector 1
1.04
102.6
155.38
186.2

phase
(deg)

VSWR

Sil
dE

Sl2
dB

56.6

7.1046

-2.4615

-3.6386

GEOMETRY
Wire coordinates in degrees; other dimensions in meters
Environment: perfect ground
wire
1
2
3
4
5
6

caps Distance
none0
0
none 201.7
201.7
none 403.4
403.4
none 406.2
406.2
none 215.1
215.1
none 94.5
94.5

Angle
0
0
180.
180.
180.
180.
193.4
193.4
206.
206.
275.
275.

Z
0
115.1
0
115.1
0
113.1
0
112.5
0
112.5
0
112.9

radius
.218

segs
20

.218

20

.218

20

.218

20

.218

20

.218

20

Number of wires
=
6
current nodes = 120

Individual wires
segment length
radius

minimum
wire
value
4
5.625
1
.218

ELECTRICAL DESCRIPTION
Frequencies (MHz)
frequency
no. lowest
step
1
1.04
0
Sources
source node
1
81

sector
1

maximum
wire value
1
5.755
1
.218

no. of segment length (wavelengths)
steps
minimum
maximum
1
.015625
.0159861

magnitude
1.

phase
0

type
voltage

Lumped loads
load
1
2
3
4
5

node
1
21
41
61
101

resistance
(ohms)
0
0
0
0
0

reactance
(ohms)
-513,112.
1,235.
-519,363.
-487,079.
-506,343.

inductance
(mH)
0
0
0
0
0

capacitance passive
(uF)
circuit
0
0
0
0
0
0
0
0
0
0

	

Tower 6 Driven Individually

C:\MBPRO\WURN6OC 03-10-2017

12:32:31

IMPEDANCE
normalization = 50.
freq
resist
react
imped
(MHz)
(ohms)
(ohms)
(ohms)
source = 1; node 101, sector 1
1.04
98.314
162.64
190.04

phase
(deg)

VSWR

Sil
dB

Sl2
dB

58.8

7.7262

-2.2611

-3.9162

GE ONE TRY
Wire coordinates in degrees; other dimensions in meters
Environment: perfect ground
wire
1
2
3
4
5
6

caps Distance
none0
0
none 201.7
201.7
none 403.4
403.4
none 406.2
406.2
none 215.1
215.1
none 94.5
94.5

Angle
0
0
180.
180.
180.
180.
193.4
193.4
206.
206.
275.
275.

Z
0
115.1

0
112.5
0
112.5
0
112.9

radius
.218

segs
20

.218

20

.218

20

.218

20

.218

20

.218

20

Number of wires
=
6
current nodes = 120

Individual wires
segment length
radius

minimum
wire
value
4
5.625
1
.218

ELECTRICAL DESCRIPTION
Frequencies (Mhz)
frequency
no. lowest
step
1
1.04
0
Sources
source node
1
101

sector
1

maximum
wire value
1
5.755
1
.218

no. of segment length (wavelengths)
steps
minimum
maximum
1
.015625
.0159861

magnitude
1.

phase
0

type
voltage

Lumped loads
load
1
2
3
4
5

node
1
21
41
61
81

resistance
(ohms)
0
0
0
0
0

reactance
(ohms)
-513,112.
1,235.
-519,363.
-487,079.
-484,622.

inductance
(mH)
0
0
0
0
0

capacitance passive
(Ut)
circuit
0
0
0
0
0
0
0
0
0
0

Item 5

Method of Moments Model Details for Daytime Directional Antenna- WURN

The array of towers was modeled using Expert MININEC Broadcast Professional Version
14.5 with the individual towers characteristics that were verified by the individual tower
impedance measurements. Calculations were made to determine the complex voltage
values for sources located at ground level under each tower of the array to produce current
moment sums for the towers that, when normalized, equated to the theoretical field
parameters of the authorized directional antenna pattern. The following pages contain details
of the method of moments model of the directional antenna pattern.

Tower

Wire

Base Node

1

1

1

2

2

21

3

3

41

4

4

61

5

5

81

6

6

101

It should be noted that voltages and currents shown on the tabulations that are not specified
as "rms" values are the corresponding peak values.

	
	

C:\MBPRO\WURNDAD 03-10-2017

12:50:10

MEDIUM WAVE ARRAY SYNTHESIS FROM FIELD RATIOS
Frequency

tower
1
2
3
4
5
6

1.04 MHz

field ratio
magnitude
.372
1.
.18
.252
.975
.393

phase (deg)
4.9
0
6.9
101.1
101.7
105.8

VOLTAGES AND CURRENTS - rms
source voltage
node
magnitude
phase (deg)
1
1,029.14
62.9
21
3,881.05
64.7
41
228.17
46.1
61
742.082
204.9
81
2,457.76
184.5
101
1,123.67
198.9
Sum of square of source currents
Total power = 50,000. watts

IMPEDANCE
normalization = 50.
freq
resist
react
(MHz)
(ohms)
(ohms)
source = 1; node 1, sector
1.04
101.23
111.36

current
magnitude
6.83848
15.8745
3.97916
4.39916
17.822
6.81253
= 1,395.97

imped
(ohms)
1
150.49

phase (deg)
15.2
13.9
12.2
96.
104.
104.8

phase
(deg)

VSMR

Sll
dE

S12
dB

47.7

4.7584

-3.7059

-2.4108

source = 2; node 21, sector 1
1.04
154.52
189.46
244.48

50.8

7.934

-2.2012

-4.0054

source = 3; node 41, sector 1
47.594
1.04
31.983
57.341

33.9

1.9082

-10.109

-.44566

source = 4; node 61, sector 1
1.04
-54.547
159.62
168.69

108.9

****

****

source = 5; node 81, sector 1
1.04
22.593
136.04
137.91

80.6

18.996

-.91536

source = 6; node 101, sector 1
1.04
-11.787
164.52
164.94

94.1

****

-7.2116

	

GEOMETRY
Wire coordinates in degrees; other dimensions in meters
Environment: perfect ground
wire
1
2
3
4
5
6

caps Distance
none 0
0
none 201.7
201.7
none 403.4
403.4
none 406.2
406.2
none 215.1
215.1
none 94.5
94.5

Angle
0
0
180.
180.
180.
180.
193.4
193.4
206.
206.
275.
275.

Z
0
115.1
0
115.1
0
113.1
0
112.5
0
112.5
0
112.9

radius
.218

segs
20

.218

20

.218

20

.218

20

.218

20

.218

20

Number of wires
=
6
current nodes = 120

Individual wires
segment length
radius

ELECTRICAL DESCRIPTION
Frequencies (MHz)
frequency
no. lowest
step
1
1.04
0
Sources
source node
1
1
2
21
3
41
4
61
5
81
101
6

sector
1
1
1
1
1
1

minimum
wire
value
4
5.625
1
.218

maximum
wire value
1
5.755
1
.218

no. of segment length (wavelengths)
steps
minimum
maximum
1
.015625
.0159861

magnitude
1,455.43
5,488.63
322.681
1,049.46
3,475.79
1,589.1

CURRENT rms
Frequency
= 1.04 MI-Iz
Input power = 50,000. watts
Efficiency
100. %
coordinates in degrees
current
no.
X
Y
Z
GND
0
0
0
2
0
0
5.755
3
0
0
11.51
4
0
0
17.265
5
0
0
23.02
6
0
0
28.775
7
0
0
34.53
8
0
0
40.285
9
0
0
46.04
10
0
51.795
0
11
0
0
57.55
12
0
0
63.305
13
0
0
69.06

phase
62.9
64.7
46.1
204.9
184.5
198.9

mag
(amps)
6.83847
7.27264
7.51596
7.6659
7.73376
7.72418
7.63984
7.48281
7.25539
6.95996
6.59937
6.17682
5.69587

type
voltage
voltage
voltage
voltage
voltage
voltage

phase
(deg)
15.2
12.
10.1
8.6
7.4
6.3
5.3
4.5
3.7
3.1
2.5
1.9
1.4

real
(amps)
6.59942
7.11343
7.39931
7.57962
7.6702
7.67791
7.60678
7.45977
7.23986
6.94995
6.59329
6.17344
5.69422

imaginary
(amps)
1.7923
1.51339
1.319
1.14686
.989484
.84418
.710028
.586764
.474412
.373116
.283038
.204305
.136983

	

14
15
16
17
18
19
20
END
GND
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
END
END
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
END
GND
62
63
64
65
66
67
68
69
70
71
72
73

0
0
0
0
0
0
0
0
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359

74.815
80.57
86.325
92.08
97.835
103.59
109.345
115.1
0
5.755
11.51
17.265
23.02
28.775
34.53
40.285
46.04
51.795
57.55
63.305
69.06
74.815
80.57
86.325
92.08
97.835
103.59
109.345
115.1
0
5.655
11.31
16.965
22.62
28.275
33.93
39.585
45.24
50.895
56.55
62.205
67.86
73.515
79.17
84.825
90.48
96.135
101.79
107.445
113.1
0
5.625
11.25
16.875
22.5
28.125
33.75
39.375
45.
50.625
56.25
61.875
67.5

5.16032
4.57415
3.94124
3.26501
2.54763
1.78797
.975574
0
15.8745
17.6386
18.7244
19.5106
20.0393
20.3259
20.3784
20.2022
19.8024
19.185
18.357
17.3265
16.1027
14.696
13.1169
11.3763
9.48354
7.44445
5.25513
2.88384
0
3.97914
4.04159
4.05445
4.03432
3.98346
3.90315
3.79442
3.65835
3.49612
3.30909
3.09873
2.86666
2.61463
2.34443
2.05788
1.75675
1.44252
1.11612
.777026
.420757
0
4.39915
4.79167
5.01692
5.16748
5.25496
5.28419
5.25777
5.17759
5.04533
4.86272
4.63164
4.35417
4.03257

.9
5.15968
.0810628
4.574
.5
.036454
0.0
3.94124
2.99E-03
359.7
3.26496
-.0195418
359.3
2.54744
-.031395
1.78767
-.0327467
359.
358.6
.975292
-.0234741
0
0
0
13.9
15.4113
3.80673
9.2
17.4108
2.82525
6.6
18.5998
2.15709
4.6
19.4464
1.58153
3.1
20.0106
1.07179
1.7
20.3165
.618275
.6
20.3773
.217395
359.6
20.2018
-.132062
19.7977
358.8
-.430312
19.1731
-.677208
358.
357.3
18.3362
-.872563
17.2966
356.6
-1.01631
356.1
16.0645
-1.10862
355.5
14.6509
-1.1499
13.0672
-1.1408
355.
354.5
11.3247
-1.08215
354.1
9.43331
-.974769
353.7
7.39924
-.819156
353.3
5.21907
-.614604
352.9 2.86171
-.356623
0
0
0
12.2
3.88904
.841995
10.7
3.97169
.748402
9.7
3.99665
.682205
8.9
3.98601
.622446
8.2
3.94296
.566587
7.6
3.8692
.513708
7.
3.76601
.463458
6.5
3.63465
.415712
6.1
3.47644
.37044
5.7
3.29283
.327645
.287334
5.3
3.08538
2.85578
5.
.249501
4.7
2.60585
.214114
4.4
2.33742
.181113
4.2
2.05238
.150402
4.
1.75252
.121852
3.8
1.43937
.0952877
3.6
1.11389
.0704789
3.5
.775598
.0470967
3.3
.420039
.0245808
0
0
0
96.
-.462366 4.37479
97.7
-.640605
4.74865
-.752836
98.6
4.96012
99.4
-.84051
5.09867
100.
-.908788
5.17579
100.5 -.959721 5.19631
100.9 -.994271
5.1629
101.3
-1.01302
5.07752
101.6
4.94189
-1.01639
101.9
-1.00479
4.75777
102.2 -.978658
4.52706
102.4
-.938437
4.25184
102.7
-.884662
3.93433

	

74
75
76
77
78
79
80

-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142

94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359

END
GND
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100

-395.142
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331
-193.331

94.1359
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936
94.2936

END
GND
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
END

-193.331
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623
8.23623

94.2936
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404
94.1404

73.125
78.75
84.375
90.
95.625
101.25
106.875
112.5
0
5.625
11.25
16.875
22.5
28.125
33.75
39.375
45.
50.625
56.25
61.875
67.5
73.125
78.75
84.375
90.
95.625
101.25
106.875
112.5
0
5.645
11.29
16.935
22.58
28.225
33.87
39.515
45.16
50.805
56.45
62.095
67.74
73.385
79.03
84.675
90.32
95.965
101.61
107.255
112.9

3.66923
3.26662
2.82711
2.35272
1.84447
1.30095
.713824
0
17.822
19.1628
19.9052
20.371
20.6017
20.6153
20.4217
20.0287
19.4434
18.6731
17.7258
16.6101
15.3353
13.9112
12.3481
10.6556
8.84185
6.91183
4.86101
2.65933
0
6.81253
7.43794
7.79531
8.03357
8.1719
8.21832
8.17714
8.05153
7.84431
7.55844
7.19699
6.7633
6.26108
5.69423
5.06676
4.38253
3.64483
2.85549
2.01254
1.1033
0

102.9
103.1
103.2
103.4
103.6
103.7
103.9
0
104.
103.3
102.9
102.5
102.3
102.
101.8
101.7
101.5
101.3
101.2
101.1
100.9
100.8
100.7
100.6
100.5
100.4
100.3
100.2
0
104.8
105.1
105.3
105.5
105.6
105.7
105.8
105.9
105.9
106.
106.
106.1
106.1
106.1
106.1
106.2
106.2
106.2
106.2
106.2
0

-.817918
-.738793
-.647898
-.545757
-.432678
-.308377
-.17088
0
-4.30092
-4.39922
-4.43139
-4.42348
-4.37917
-4.30036
-4.18847
-4.04485
-3.87092
-3.66828
-3.43865
-3.18392
-2.90612
-2.60736
-2.2898
-1.95548
-1.60619
-1.24307
-.865627
-.468877
0
-1.73803
-1.94216
-2.06189
-2.14555
-2.19931
-2.22573
-2.22619
-2.20166
-2.153
-2.08107
-1.9868
-1.87121
-1.73544
-1.58068
-1.40817
-1.21912
-1.01458
-.795199
-.560583
-.307331
0

3.57691
3.18198
2.75187
2.28855
1.79301
1.26388
.693069
0
17.2953
18.651
19.4056
19.8849
20.1309
20.1618
19.9875
19.616
19.0542
18.3093
17.3891
16.3021
15.0574
13.6647
12.134
10.4746
8.69473
6.79913
4.78332
2.61767
0
6.58709
7.1799
7.51768
7.74176
7.87039
7.91119
7.86827
7.74466
7.54307
7.26631
6.91732
6.49929
6.01577
5.47044
4.86715
4.20955
3.50078
2.74254
1.93289
1.05964
0

Item 6

Method of Moments Model Details for Nighttime Directional Antenna- WURN

The array of towers was modeled using Expert MININEC Broadcast Professional Version
14.5 with the individual towers characteristics that were verified by the individual tower
impedance measurements. Calculations were made to determine the complex voltage
values for sources located at ground level under each tower of the array to produce current
moment sums for the towers that, when normalized, equated to the theoretical field
parameters of the authorized directional antenna pattern. The following pages contain details
of the method of moments model of the directional antenna pattern.

Tower

Wire

Base Node

1

1

1

2

2

21

3

3

41

4

4

61

5

5

81

6

6

101

It should be noted that voltages and currents shown on the tabulations that are not specified
as "rms" values are the corresponding peak values.

	
	

C:\MBPRO\WURNDAN 03-10-2017

13:02:04

MEDIUM WAVE ARRAY SYNTHESIS FROM FIELD RATIOS
Frequency = 1.04 MHz

tower
1
2
3
4
5
6

field ratio
magnitude
.431
1.
.519
.484
.818
.747

phase (deg)
-55.
0
-25.2
77.9
88.3
45.

VOLTAGES AND CURRENTS - rms
source voltage
node
magnitude
phase (deg)
584.765
1
356.2
21
964.42
69.6
41
507.754
27.9
61
308.85
173.3
81
604.145
176.4
101
541.771
122.4
Sum of square of source currents
Total power
5,000. watts

IMPEDANCE
normalization = 50.
freq
resist
react
(MHz)
(ohms)
(ohms)
source = 1; node 1, sector
1.04
257.06
129.5

current
magnitude
2.03159
4.68181
2.70743
2.61068
4.21917
3.89836
= 146.382

phase (deg)
329.4
9.4
349.5
76.5
89.
48.9

phase
(deg)

VSWR

Sll
dB

S12
dB

26.7

6.4863

-2.6998

-3.3448

source = 2; node 21, sector 1
1.04
102.3
178.79
205.99

60.2

8.6689

-2.0129

-4.3073

source = 3; node 41, sector 1
1.04
147.05
116.39
187.54

38.4

4.9204

-3.5804

-2.5064

source = 4; node 61, sector 1
1.04
-14.094
117.46
118.3

96.8

****

****

source = 5; node 81, sector 1
1.04
6.369
143.05
143.19

87.5

72.222

-.24055

-12.686

source = 6; node 101, sector 1
1.04
39.57
138.97
133.22

73.5

10.934

-1.5932

-5.1273

imped
(ohms)
1
287.84

	

GEOMETRY
Wire coordinates in degrees; other dimensions in meters
Environment: perfect ground
wire
1
2
3
4
5
6

caps Distance
none 0
0
none 201.7
201.7
none 403.4
403.4
none 406.2
406.2
none 215.1
215.1
none 94.5
94.5

Angie
0
0
180.
180.
180.
180.
193.4
193.4
206.
206.
275.
275.

Z
O
115.1
0
115.1
0
113.1
0
112.5
0
112.5
0
112.9

radius
.218

segs
20

.218

20

.218

20

.218

20

.218

20

.218

20

Number of wires
=
6
current nodes = 120
minimum
wire
value
4
5.625
1
.218

Individual wires
segment length
radius

ELECTRICAL DESCRIPTION
Frequencies (MHz)
frequency
no. lowest
step
1
1.04
0
Sources
source node
1
1
2
21
3
41
4
61
5
81
101
6

CURRENT rms
Frequency
Input power
Efficiency
coordinates
current
no.
X
GND
0
2
0
3
0
4
0
5
0
6
0
7
0
8
0
9
0
10
0
11
0
12
0
13
0

sector
1
1
1
1
1
1

maximum
wire value
1
5.755
1
.218

no. of segment length (wavelengths)
steps
minimum
maximum
1
.015625
.0159861

magnitude
826.983
1,363.9
718.072
436.78
854.39
766.18

phase
356.2
69.6
27.9
173.3
176.4
122.4

type
voltage
voltage
voltage
voltage
voltage
voltage

= 1.04 MHz
= 5,000. watts
= 100. %
in degrees
Y
0
0
0
0
0
0
0
0
0
0
0
0
0

Z
0
5.755
11.51
17.265
23.02
28.775
34.53
40.285
46.04
51.795
57.55
63.305
69.06

mag
(amps)
2.03159
2.19991
2.31475
2.4027
2.46463
2.50029
2.50928
2.49133
2.44643
2.37479
2.27692
2.15351
2.00548

phase
(deg)
329.4
321.5
316.9
313.4
310.5
308.1
306.1
304.3
302.8
301.4
300.1
299.
298.

real
(amps)
1.7495
1.72116
1.68958
1.6497
1.60112
1.54393
1.47843
1.40507
1.32438
1.23696
1.14348
1.04462
.941103

imaginary
(amps)
-1.03276
-1.37011
-1.58222
-1.74684
-1.87371
-1.96666
-2.0275
-2.05731
-2.05695
-2.02721
-1.96896
-1.88318
-1.77096

	

14
15
16
17
18
19
20
END
GND
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
END
GND
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
END
GND
62
63
64
65
66
67
68
69
70
71
72
73

0
0
0
0
0
0
0
0
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-201.7
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-403.4
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142
-395.142

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359
94.1359

74.815
80.57
86.325
92.08
97.835
103.59
109.345
115.1
0
5.755
11.51
17.265
23.02
28.775
34.53
40.285
46.04
51.795
57.55
63.305
69.06
74.815
80.57
86.325
92.08
97.835
103.59
109.345
115.1
0
5.655
11.31
16.965
22.62
28.275
33.93
39.585
45.24
50.895
56.55
62.205
67.86
73.515
79.17
84.825
90.48
96.135
101.79
107.445
113.1
0
5.625
11.25
16.875
22.5
28.125
33.75
39.375
45.
50.625
56.25
61.875
67.5

1.83394
1.64008
1.42513
1.1902
.935944
.661828
.363799
0
4.68181
5.16341
5.44994
5.65017
5.77718
5.83621
5.82999
5.76048
5.62949
5.43895
5.19103
4.88818
4.53312
4.1288
3.6783
3.18462
2.65044
2.07736
1.46431
.802446
0
2.70743
2.88993
2.99748
3.06844
3.10671
3.1137
3.09013
3.03657
2.95366
2.8422
2.70315
2.53763
2.34695
2.13251
1.89581
1.63829
1.36123
1.06538
.75007
.41071
0
2.61067
2.77908
2.86955
2.92289
2.94437
2.93633
2.90012
2.83679
2.74734
2.63279
2.49428
2.33302
2.15032

297.
296.2
295.3
294.6
293.8
293.2
292.5
0
9.4
6.3
4.5
3.2
2.1
1.2
.4
359.7
359.1
358.6
358.1
357.6
357.2
356.8
356.5
356.2
355.9
355.6
355.3
355.1
0
349.5
344.9
342.2
340.1
338.3
336.8
335.5
334.3
333.3
332.3
331.5
330.7
329.9
329.2
328.6
328.
327.4
326.9
326.3
325.8
0
76.5
76.9
77.2
77.4
77.6
77.7
77.8
78.
78.1
78.2
78.2
78.3
78.4

.833679
.723067
.609953
.494924
.378372
.26022
.139109
0
4.61925
5.13249
5.43301
5.64148
5.77332
5.83497
5.82985
5.76041
5.6288
5.43722
5.18807
4.88396
4.52776
4.12251
3.6714
3.1775
2.64354
2.07119
1.45941
.799455
0
2.66214
2.79073
2.85461
2.88546
2.88751
2.86269
2.81223
2.73718
2.63854
2.51739
2.37491
2.21235
2.03108
1.83249
1.61803
1.38908
1.14683
.892009
.624192
.339712
0
.609293
.628015
.635797
.637425
.63355
.624489
.610458
.59165
.568256
.540483
.508551
.472702
.433187

-1.6335
-1.47208
-1.288
-1.08241
-.856052
-.608524
-.336152
0
.762848
.564221
.429281
.313323
.210909
.120072
.0400563
-.0294183
-.0884372
-.137017
-.175171
-.202945
-.220431
-.227777
-.225183
-.212884
-.191123
-.160078
-.119701
-.069215
0
-.493159
-.750686
-.914353
-1.04375
-1.14626
-1.22481
-1.28072
-1.31476
-1.32749
-1.31941
-1.29104
-1.24301
-1.17597
-1.09068
-.987956
-.868589
-.733305
-.582537
-.415921
-.230821
0
2.53858
2.70719
2.79823
2.85253
2.8754
2.86916
2.83514
2.77441
2.68793
2.57672
2.44189
2.28463
2.10624

	

0

0
091L00

L06066
0069LL

09000E
860161
08980'l
91008'I
719800
00806'O
66600'O
096890
9600S'O
OLL6O

10680'6
06191'6
017110'6
160'6
66100'S
188L1'S
90L60'S

L0666'O
0

6116LL
L000VI

0O0I'1
960691
O?6161
6L000'O

0t78100
690190
6LOLLO

50016'O
066106
61060'S
98561'S
10601'S
66001'6
00090'6
00096'O
9991S'O
05090'O
0

0
0
co
906LY
90t7
LL8001
8LOOYI
80
60t7
80906'I
l'6t7
01006'O
176169'O
6'Ot7
06
06O6
L'6t7
616'6'6
66t
801096
100 61098'6
600
IIOLO'tz
90 000000
6'I0
99S96'O
0'00
06000'O
9'00
95L60'0
90900't'
00906'O
699S10
968686
0

6'80
0

8L060'O

'90

0'90
'U?
L'Lt7

6011
000L01

1910L
09606

0606
0L98
606L
0866L
7LL9

06009
0090
00S'O0
91'c
010'66
L8'EE
000'SO
80'oo
066'91
60'II
009'0
0
0'OII

0I6
O16
I7OI6
O16
O1'O6
OOT06
O1'6
O16
000106
0001'06
0001'06
O0I'06
0001'1i6
000T'06
0001'06
1i00106
0001'06
000106
I7001'06
0001'06
0001'06
9660'06

609608
609608
609608
£09608
60960'8
609608
960'S
60960'S
60960'S
609605
60960'S
60960'8
60960'S
60960'S
60960'8
60960'8
60960S
60960'S
60960'S
60960'8
60960'S
166'661-

UNJ
001
6El
811
LIT
911
011
011
611
011
111
011
601
801
LOT
901
001
001
601
001
CN.
UN

Item 7

Sampling System Measurements - WURN

Impedance measurements were made of the antenna monitor sampling system using an
Advantest R3754B network analyzer and a Tunwall Radio directional coupler in a calibrated
measurement system. The measurements were made looking into the antenna monitor ends
of the sampling lines for two conditions - with them open circuited at their tower ends and
with them connected to the sampling devices at the tower bases.
The following table shows the frequencies above and below the carrier frequency where
resonance - zero reactance corresponding with low resistance - was found. As the length of
a distortionless transmission line is 180 electrical degrees at the difference frequency
between adjacent frequencies of resonance, and frequencies of resonance occur at odd
multiples of 90 degrees electrical length, the sampling line length at the resonant frequency
above carrier frequency - which is the closest one to the carrier frequency in terms of the
ratio of frequencies - was found to be 450 electrical degrees. The electrical lengths at carrier
frequency appearing in the table below were calculated by ratioing the frequencies.

Tower

Sampling Line
Sampling Line
Sampling Line
Open-Circuited
Open-Circuited
Calculated
Resonance Below Resonance Above Electrical Length at
1040kHz
1040kHz
1040kHz
(kHz)
(kHz)
(degrees)

1040 kHz
Measured
Impedance with
Toroid
Connected
(Ohms)

1

641.00

1071.20

436.9

51.0-j2.5

2

640.70

1070.40

437.2

49.8-j2.5

3

640.70

1070.60

437.1

50.4-j2.5

4

641.30

1071.60

436.7

50.2-j2.6

5

641.60

1071.80

436.6

50.3-j2.7

6

641.00

1070.80

437.1

50.4 -j 2.5

The sampling line lengths meet the requirement that they be equal in length within 1 electrical
degree.

The characteristic impedance was calculated using the following formula, where R1 +j X1 and
R2 +j X2 are the measured impedances at the +45 and -45 degree offset frequencies,
respectively:
Zo = ((R12 ^ X12)112 • (R22 + X22)112)112

-45 Degree
Offset
Frequency
(kHz)

-45 Degree
Measured
Impedance
(Ohms)

+45 Degree
Offset
Frequency
(kHz)

+45 Degree
Measured
Impedance
(Ohms)

Calculated
Characteristic
Impedance
(Ohms)

1

964.08

9.70 -j 49.23

1178.32

11.21 +j 48.50

50.0

2

963.36

9.81 -j49.29

1177.44

11.10 +j 47.91

49.7

3

963.54

9.78-j49.12

1177.66

11.28+j48.13

49.8

4

964.44

9.78-j49.12

1178.76

11.09+j48.03

49.7

5

964.62

9.74-j48.99

1178.98

11.08+j48.12

49.7

6

963.72

9.72-j49.10

1177.88

11.17-i-j48.13

49.7

Tower

The sampling line measured characteristic impedances meet the requirement that they be
equal within 2 ohms.
The toroidal transformers were calibrated by measuring their outputs with a common
reference signal using an Advantest R3754B network analyzer in a calibrated measurement
system. They were placed side-by-side with a conductor carrying the reference signal
passing through them and their outputs were fed into the A and B receiver inputs of the
analyzer which was configured to measure the relative ratios and phases of their output
voltages. The following results were found for carrier frequency, 1040 kilohertz:

Tower

Toroid
Ratio

Toroid
Phase
(Degrees)

1

1.000

-0.02

2

Reference

Reference

3

1.004

-0.10

4

1.002

-0.14

5

1.000

-0.04

6

1.000

-0.04

Delta type TCT-3 toroidal transformers are rated for absolute magnitude accuracy of +1- 2%
and absolute phase accuracy of +1- 3 degrees. As the maximum measured transformer-totransformer variations among the four were no more than 0.4 percent and 0. l4degree, they
provide far more accurate relative indications than could be the case within their rated
accuracies.

Item 8

Reference Field Strength Measurements - WURN

Reference field strength measurements were made at three locations each along the radial
directions that are specified for monitoring by the construction permit. For the daytime
directional antenna pattern, those radial azimuths are 238.5 and 304.5 degrees true. For the
nighttime directional antenna pattern, they are 126.5, 212.0, 266.0 and 336.0 degrees true
Additionally, measurements were made on major lobe radials at 90.5 degrees true for the
daytime pattern and at 85.5 degrees true for the nighttime pattern. The measured field
strengths, descriptions and GPS coordinates for the reference measurement points are shown
on the following pages.

12.7

7.88
3

12.8
12.9

7.83

1

15.5

7.85

7.38

3

15.5

19

1130

2

7.35

7.33

1
2

4.14

3

1630

7600

Field
(mvlm)

Coordinates (NAD 83)

N25° 52' 58.51"

N25° 52' 58.15"

N25° 52' 57.78"

N25° 48' 29.35"

N25° 48' 29.73"

N25° 48' 30.08"

N25° 50' 32.94"

N25° 50' 33.38"

N25° 50' 34.1 1"

W80° 294.80"

W80° 294.10"

W80° 29' 3.55"

W80° 28' 57.31"

W80° 28' 56.65"

W80° 28' 56.03"

W80° 22' 42.58"

W80° 23' 12.54'

W80° 24' 49.72"

________________ ________________

Description

W side Krome Ave. at "S997"

At Krome Ave guardrail midway betwee

E side Krome Ave at pole A.1

W side of Krome Ave. Aprox 20 ft n. of

At Krome Ave guardrail midway betwee

E side Krome Ave between pole A-4-4

W side NW 75 Lane and 112 Ave at

Northbound turnpike on ramp in swail a

E side pump house road N of pump

__________________________________________

Measurements were made February 1,2017 by George D Butch using Potomac Instruments FIM-41, SN 2113. Calibrated March 8,2
Calibration was checked against FIM-41, SN 1924. Factory calibrated September 26, 2016.

304.5°

238.5°

3.32

2

0.60

1
90.5°

Distance
(km)

Point
______

Radial
______

Reference Field Strength Measurements

WURN 1040 Miami
50 KW. Day Antenna

266°

212°

126.5°

76

4.22
10.74

3
1

6.38

6.35

1
2

2.7

11.71
3

9.7

9.8

3.2

11.55

2

3.8

110

0.28

1
3.23

3800

4.24

3

2

330

4.15
325

2400

Field
(mv/rn)

2

0.61

1
85.5°

Distance
(krn)

Point
______

Radial
_____

Coordinates (NAD 83)

Description

N25° 50' 19.83"

N25° 50' 19.85"

N25° 4512.51"

N25° 4517.27"

N25° 45' 39.40"

N25° 4912.95"

N25° 49' 32.12"

N25° 50' 28.78"

N25° 50' 44.98"

N25° 50' 44.76"

N25° 50 35.77"

W80° 29' 0.09"

W80° 28' 59.07"

W80° 28' 54.39"

W80° 28' 51.29"

W80° 28' 35.72"

W80° 23' 9.21"

W80° 23' 38.13"

W80° 25' 3.20"

W80° 22' 39.24"

W80° 22' 42.33"

W80° 2449.65'

At Krome Ave guard rail mid way betwee

E side Krome Ave. mid way between rocks an

S side of SW 12 St. at curved end of

E side Krome Ave. at 6th light pole S

Middle of median on US 41 opposite pow

W side NW 117 Ave. just N of 3rd power po

West edge of truck route (NW 122 Ave ?) a short

NE Corner of pump house #8 f

E side of NW 111 Ct in driveway at

NE Corner of NW 112 Ave. and NW

Middle of pump house road about 35 feet south

________________ ________________ ________________________________________

Reference Field Strength Measurements

WURN 1040 Miami
5KW. NightAntenna

Item 9

Direct Measurement of Power - WURN

Common point impedance measurements were made using a calibrated measurement
system employing an Advantest R3754N vector network analyzer. The common point
impedance was adjusted to 50.0 - j 7.0 ohms for the directional antenna patterns. The
reactance was set to -j 7.0 to compensate for series inductance in the circuit between the
transmitter and the common point in the phasor cabinet, including the main-auxiliary
transmitter switching contactor, in order to provide a non-reactive load for the transmitter's
output port at carrier frequency.

Section 73.51(b)(2) of the FCC Rules specifies that the authorized antenna input power of a
directional antenna for greater than 5.0 kilowatts nominal power shall be increased by 5.3
percent above the nominal power. For the 50 kilowatt daytime pattern, the common point
current was calculated for 52,650 watts antenna input power.

Section 73.51(b)(1) of the FCC Rules specifies that the authorized antenna input power of a
directional antenna for up to 5.0 kilowatts nominal power shall be increased by 8 percent
above the nominal power. For the 5.0 kilowatt nighttime pattern, the common point current
was calculated for 5,400 watts antenna input power.

Item 10
Antenna Monitor - WURN

The antenna monitor is a Potomac Instruments model AM-1901. The sampling devices are
Delta Electronics Type TCT-3 shielded toroidal transformers located at the ATU output
reference points. The toroids are connected through equal length Y2 inch foam Heliax
sampling lines to the antenna monitor, the outdoor portions of which are underground.

The antenna monitor was calibrated by comparing the tower current ratios and phases
observed using an Advantest R3754B network analyzer, with its reference signal amplified
and fed into the directional antenna common point, to those observed on the antenna
monitor with full power operation with the system adjusted to approximately the daytime
operating parameters. The network analyzer was calibrated using its internal calibration
function prior to the observations, which were made with the tower 2 sampling line
connected to its "B" receiver input and the other towers' sampling lines alternately
connected to its "A" receiver input. The measurements with the antenna monitor were made
immediately upon activation of the transmitter after a cool-off period, during which the low
power network analyzer measurements were made, to minimize warm-up effects. The
observations were made prior to final adjustment of the antenna system and the parameters
observed on the antenna monitor differ slightly from those reported elsewhere herein.

Antenna Monitor
Measured
Ratio
Phase

Network Analyzer
Measured
Ratio
Phase

1

0.337

+5.4

0.341

+4.9

2

1.000

0.0

1.000

0.0

3

0.223

+5.2

0.225

+5.0

4

0.227

+91.0

0.229

+90.4

5

0.927

+96.0

0.921

+95.5

6

0.324

+80.7

0.330

+80.1

Tower
__________

All agreed within less than the antenna monitor manufacturer's rated accuracies of 0.010
ratio and 1 .0 degree phase.

Item 11

RFR Protection - WURN

The operation of WURN will not result in the exposure of workers or the general public to
levels of radio frequency radiation in excess of the limits specified in 47 CFR 1 .1310.
Metal fences are in place about the tower bases to restrict access to distances beyond
those necessary to prevent electric and magnetic field exposure above their required
maximum levels. Equipment enclosures within the transmitter building provide effective
shielding to contain the radiofrequency fields within them. The effectiveness of both
have been verified by measurement.

The measurements were made with a Holiday Industries model H 1-3002 broadband
survey meter, using a model STE-02 probe for the electric field component and a model
LFH-02 probe for the magnetic field component. The manufacturer's specified probe
factors were applied to the meter readings.

Observations were made at distances 20

centimeters or more from nearby objects, following the procedures outlined in the FCC's
"OET Bulletin 65, Edition 97-01."

At the WURN carrier frequency, 1040 KHz, the specified maximum electric field value is
614 V/m. The specified maximum magnetic field value is 1.63 Nm.

Measurements made within the transmitter building 20 centimeters or more from
equipment cabinets revealed no field strength levels at or above the limits. No spatiallyaveraged measurements were necessary.

Measurements demonstrated that the metal

fences surrounding the tower bases and tuning houses limit access to areas with fields
that exceed the requirements of the Rules.

Item 12

Summary of Post-Construction Certified Array Geometry - WURN

The tower locations based on the relative distances in feet and azimuths (referenced to True
North) provided in the post construction array geometry survey of Appendix A were
compared to the relative distances and azimuths of the array elements specified on the
construction permit. The numbering scheme of the survey shows tower 1 of the directional
antenna system as tower 3 and vice versa. The surveyed and specified values were
converted to the rectangular coordinate system to facilitate calculating the individual tower
specified-to-surveyed distances, which were then converted to the polar coordinate system
to determine their magnitudes. This tabulation shows those distances and other information
that is relevant to their determination.

Specified Array Geometry

Post-Construction
Survey*

Distance Fror
Specified Bass.
Location

Tower
Spacing
(Deg.)

Spacing
(Feet)

Azimuth
(Deg. T.)

Spacing
(Feet)

Azimuth
(Deg. T.)

(Feet)

(Deg.)

1

Ref.

Ref.

Ref.

Ref.

Ref.

Ref.

Ref.

2

201.7

529.88

180.00

529.68

179.83

1.57

0.60

3

403.4

1059.75

180.00

1059.55

179.86

2.60

0.99

4

406.2

1067.11

193.40

1065.71

193.30

2.32

0.88

5

215.1

565.08

206.00

565.34

205.83

1.69

0.64

6

94.5

248.62

274.83

0.82

0.31

The "as built" tower displacements from their specified locations expressed in electrical
degrees at carrier frequency, which correspond to space phasing differences in the far-field
radiation pattern of the array, are below the +1- 1.5 degree requirement stated in FCC Public
Notice DAO9-2340 dated October 29, 2009.
* As built tower locations from March 6, 2017 tower location survey prepared by Jose M.
Lopez, P.L.S.N. of Tn-County Engineering, Inc., Miami Lakes, Florida.

Appendix A
Surveyed Post-Construction Array Geometry

	
	

RADIO STATION WURN 1040AM
SE

1/4,

SECTION 10, TOWNSHIP 53 SOUTH, RANGE 39 EAST
MIAMI-DADE COUNTY, FLORIDA

GRAPHIC SCALE
200

too

I00

200

400

800

(01 tT)
1 tneh -200 ft.

N: 549564.1522
E: 846866.7495

THIS DOCUMENT IS NEITHER
FULL NOR COMPLETE WITHOUT
ALL SHEETS

N: 549543. 2000
E: 847114.4816

248.62'

5°O9'57
TOWER
No.6

TOWER
No.3

'r)

00

NOTE:
ALL BEARINGS SHOWN ARE BASED
ON THE 'NADBS COORDINATE
SYSTEM

0'
0

C

I,)

z
N: 549034. 3453
E: 846868.0251

N: 54901 3.5256
E:847116.0113
TOWER
No.5

TOWER
No.2
LEGEND:

ci
00

C
00

GUY / ANCHOR

C
0

C
C,)

N: 548506.0609
E: 846869.2642

0

N: 548483.6 768
E 847117.0949

/\
84°5O'07'
TOWER
No 4

248.84'

TOWER

TOWER
No.1

SHEET 1 OF 2

Tn-County Engineering, Inc.
Architecture - Engineering - Surveying & Mapping
Construction Management
M-2777 - EB-6706 - LB-6507 - QB.63862
7729NW145th Street Miamt Lakes FL 33,016
PH 305-823-3737
Fax 301.8233737

NOTE:NOT VALID WITHOUT THE
SIGNATURE AND ORIGINAL SEAL OF A
FLORIDA REGISTERED SURVEYOR AND
NAPPER

	

RADIO STATION WORN 1040AM
SE 1/4, SECTION 10, TOWNSHIP 53 SOUTH, RANGE 39 EAST
MIAMI-DADE COUNTY, FLORIDA

ThIS DOCUMENT IS NEIIHER
FULL NOR COMPLETE WITHOUT
ALL SHEETS

SURVEYORS NOTES:
SURVEY TYPE: SPECIFIC PURPOSE SURVEY. THE PURPOSE OF THIS SURVEY IS TO SHOW THE
COORDINATES FOR EACH TOWER IN THE NAD83 COORDINATE SYSTEM.
2.- THE ACCURACY OF CONTROL SURVEY DATA WAS VERIFIED BY REDUNDANT MEASUREMENTS OR
CLOSED TRAVERSE AND WAS FOUND TO MEET OR EXCEED THE FOLLOWING CLOSURE, BASED
ON IHE [XPECTED USE OF THE PROPERTY: COMMERCIAL/HIGH RISK, WITI A LINEAR CLOSURE OF
1 FOOT IN 10,000 FEET.
3.- NOT VALID WITHOUT THE SIGNATURE AND THE ORIGINAL RAISED SEAL OF A FLORIDA
LICENSED SURVEYOR AND MAPPER.
4. ADDITIONS OR DELETIONS TO SURVEY, MAPS, OR REPORTS BY OTHER THAN THE
SIGNING PARTY OR PARTIES ARE PROHIBITED WITHOUT WRITTEN CONSENT OF THE SIGNING
PARTY OR PARTIES.
.-THIS SURVEY MEETS THE MINIMUM TECHNICAL STANDARDS SET FORTH IN CHAPTER 5J-1 7,
FLORIDA ADMINISTRATIVE CODE, PURSUANT TO SECTION 472.027, FLORIDA STATUTES.

SHEET 2 OF 2

Tr/-ounty Engineering, Inc.
Architecture - Engineering - Surveying & Mapping
Construction Management
AA-2777 - EB-6706 - LB-6507 - QB-63862
7729 NWl4Bth Street Miami Lakes PL 33016
PH 305-823-3737

Fax 305-823-3727

NOTE: NOT VALID WITHOUT THE
SIGNATURE AND ORIGINAL SEAL OF A
FLORIDA REGISTERED SURVEYOR AND
MAPPER