1956-75 VLF Antenna Design Data - arl associates

241 Pages·2012·3.92 MB·English

Hazeltine
Corporation
Greenlawn, N.Y. 11740 (516) 261-7000
1985 MAY 01
HAW/icf
Dr. Peder M. Hansen
Naval Ocean Systems Center
San Diego CA 92126
Subject: VLF Reports 1956-75
Dear Dr. Hansen:
In accordance with our previous conversations,
I am pleased to send herewith a collection of VLF material
which I prepared in 1956-75. This was all that was con-
veniently available.
If you are interested in anything particular,
I should welcome an inquiry and I might be able to help
you.
Yours sincerely,
141a4.k.,
H. A. Wheeler,
Chief Scientist
AIUN
A
Flaxetne
Hazeltine and tne Pursult of Excellence
VLF Reports by H. A. Wheeler
1956-76
Collection for NOSC 850501
Report 301 - VLF ANTENNA NOTEBOOK - GENERAL
302 - VLF ANTENNA NOTEBOOK - PRINCIPLES
303 - VLF ANTENNA NOTEBOOK - AERIAL SYSTEM
304 - VLF ANTENNA NOTEBOOK - GROUND SYSTEM
911 - ULF ANTENNAS AND PROPAGATION
914 - UNDERGROUND LF ANTENNAS
967 - VLF TRANSMITTER NOTES
1523 - VLF TRANSMITTER NOTES
Reprint - 1958
FUNDAMENTAL RELATIONS IN THE DESIGN OF A
VLF TRANSMITTING ANTENNA
FUNDAMENTAL LIMITATIONS OF A SMALL VLF
ANTENNA FOR SUBMARINES
- 1959
THE RADIANSPHERE AROUND A SMALL ANTENNA
- 1961
RADIO-WAVE PROPAGATION IN THE EARTH'S CRUST
- 1964
VLF PROPAGATION UNDER THE IONOSPHERE IN THE LOWEST
MODE OF HORIZONTAL POLARIZATION
- 1975
SMALL ANTENNAS
(cid:10)(cid:10)(cid:10)(cid:10)(cid:10)
Harold A. Wheeler Job 233, Report 501 560917, Page 101
To DevelopmentalE ngineering'C orp.
VLF ANTENNA NOTEBOOK - GENERAL
This is the first of a series of reports for collecting in-
formation relating to the design of VLF antennas, especially a high-
power antenna for 15 Kc.Each report will be cumulative and will be
assigned a block of numbers so that any page in this series will be
identified by its page number.The report numbers are being assigned
from the block of 301 to 309.The last digit of the report number(cid:10)
will be the first digit of the 3-digit page number.
Contents Page
Index to this series. 102
Symbols and Units..,, 103
Information fQr 104
References. -119,105
Definition and Test of Radiated Power. 117
ew
(cid:10)(cid:10)(cid:10)(cid:10)(cid:10)(cid:10)(cid:10)(cid:10)(cid:10)(cid:10)(cid:10)
(cid:10)
Harold A. WheelerJob 233, Report 301 560917, Page 102
Index to This Series.
Report 301 General Page 101
302 Principles 201
303 Aerial System 301
304 Ground System 401
305 Scale Models 501
306 Tuning Circuits 601
(cid:127)
307 Modulation 701
(cid:127)
308 .0 801
309 L _ 901
.
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(cid:10) (cid:10)
(cid:10)(cid:10)
Job 233, Report 301 560917, Page 103
S bols and Units.
MKS rationalizedu nits.(cid:10)
*Note: These quantities are RN'Sv alues unless otherwise noted.(cid:10)
f = freauency (cycles/second)(cid:10)
= 2yf = radianfrequency( radians/second)(cid:10)
-X = wavelength (meters)(cid:10)
radianlength (meters)(cid:10)
= magnetivity (permeability)o f free space(cid:10)
o
(1.257 x 10-6 henries/Meter)(cid:10)
eo = electrivity (permittivity)o f free space(cid:10)
(8.85 x 10-12 farads/meter)(cid:10)
k = e/e = electric ratio (dielectricc onstant) of medium (ground)(cid:10)
Rc = -147t- = wave resistance of square area in free space (377 ohms)
o
0 (cid:10)
= conductivity (mhos/Meter)(cid:10)
o
6 = 1/-1/71-f40=a skin depth in conductor (meters)(cid:10)
Rs = -1/Trfp.o/=a skin resistance of square area on surface of(cid:10)
conductor (ohms)
H = magnetic intensity or current density (amperes/meter)(cid:10)
E = electric intensity or potential gradient (volts/meter)4
I = current (amperes)1/4
V = potential (volts)\_
P = power (watts)
C = capacitance (farads)
L = inductance (henries)
R = resistance (ohms)
X = reactance (ohms)
p = R/x = power factor ( << 1 )(cid:10)
a,b,c = .dimensions( meters)
h=height (meters)
1= length (meters).
A = area (meters2)(cid:10)
n = number
NNBB 7777,, pp.. 110055--66..(cid:10)
9W
Harold A. Wheeler Job 233, Report 301 860917, Page 104
Informationf or 15 Kc.
f = 15 Kc
= 94.3 K
= 20 Km = 12.4 mile 1 mi = 1.61 Km
7\/271-= 3.18 Km = 1.98 mile 1 ft = 0.305 m
w40 = Rc(27/5.) = 0.118 ohm/m
weo = (l/Rc) (2v/7) = 0.853 4.mho/m or m.mho/Km
Skin effect:
Copper 6 = 0.54 mm = .021 in,. Rs = .0320 milohm
Aluminum 0.70 mm .027 in, .041 milohm
Sea water (cr= 4) 2.0 6.7 ft, 0.122 ohm
Average ground (0 = .002) 92 m 300 ft, 5.5 ohms
HAW, "Universal skin-effect chart for conducting materials",
Electronics, vol. 25, no. 11, P. 152-4, Nov. 1952. (Skin depth in
metalS, solutions, ground.)
HAW, "Formulas for the skin effect", Proc. IRE, vol. 30,
p.412-24, Sept.1942.(Theory, rules,inductors.)
NB 77,p.38,80.
Example of VLF antenna properties:
Frequencyf=15 Kc
WavelengthT=20 Km
Radiated powerP=1 Mw
Radiation resistanceR=0.1 ohm
Radiation power factor p = .001=1 mil
Reactance X = 100 ohms
Current I = 3.16 Ka
Voltage. V = 316 Kv
Capacitance C = 0.106 4f
Effective height h = 159 m=520 ft
Effective area A = 1.90 Km2=0.73 mi2
Inductance (to tune) L = 1.06 mh
NB 80, P. 95
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Harold A. Wheeler Job 233, Report 301 561031, ?age 105
References.
This section is a chronologicall ist of many references per-
taining to this subject and its various problems. This list and .sub-
sequent additions will be numbered in one sequence for convenience of
identification.
E. B. Rosa, F. W. Grover, "Formulasa nd tables for the calculation
of mutual and self-inductance( revised)",N BS, S-169, 3 ed., Govt.
Printing Office, Dec. 10, 1916. (Geometricm ean distances, p. 166,
useful for computing capacitance of grid of wires.)---
E. F. W. Alexanderson, "Trans-oceanicr adio communications",
Proc. IRE, vol. 8, p. 263-85, Aug. 1920. (Multiple tuning, Brunswick(cid:10)
VLF antenna.)
S. C. Hooper, "The Lafayette radio station", Jour. Amer. Soc.
Naval Engineers, vol. , p. 383-430, Aug. 1921.
W. W. Brown, "Radio-frequencyt ests on antenna insulators",P roc.
IRE, vol. 11, p. 495-525, Oct. 1923. (At 18 and 28 Kc, up to 100 Kv,
dry and wet.)
NBS, "Radio Instrumentsa nd Measurements",C ircular 74, 2 ed.,
Mar. 10, 1924. (Capacitanceo f parallel wires above ground, p. 239-
42.)
W. W. Brown, J. E. Love, "Designs and efficiencieso f large air
core inductances",P roc. IRE, vol. 13, p. 755-66, Dec. 1925.
J. H. Shannon, "Sleet removal from antennas", Proc. IRE, vol. 14,
p. 181-95, April 1926. (Rocky Point VLF antenna.)
N. Lindenblad, W. W. Brown, "Main considerationsi n antenna de-
sign", Proc. IRE, vol. 14, p. 291-324, June 1926.
ew
Harold A. Wheeler Job 233, Report 301 *561031,P-a ge 106
E. H. Shaughnessy, "The Rugby radio station of the British Post
Office", Jour. LEE, vol. 64, p. 683- , 1926. (VLF transmitter.)
A.
H. Wheeler, "Simple inductance formulas for radio coils",.
Proc. IRE, vol. 16, p. 1398-1400, Oct. 1928.
F. W. Peek, Jr, "DielectricP henomena in High-VoltageE ngineer-
ing", McGraw-Hill, 1929.
O. R. Schurig, C. W. Frick, "Heating and current-carrying
capacity of bare conductors for outdoor service", deneral Electric Re-
view, vol. 33, p. 141-57, Mar, 1930.
J. E. Clem, "Currents required to remove conductor sleet", Elec.
World, vol. , p. 1053-6, Dec. 6, 1930. .
C. A. Nickle, R. B. Dome, W. W. Brown, "Control of radiating
properties of antennas", Proc. IRE, vol. 22, p. 1362-73, Dec. 1934.
(Top loading of tower with series inductance.) (G. H. Brown, dis-
cussion, vol. 23, p. 1264-5.)
G. H. Brown, R. F. Lewis, J. Epstein, "Ground systems as a factor
in antenna efficiency", Proc. IRE, vol. 25, p. 753-87, June 1937.
(Current in radial wires, theory, experiments, about 1 Mc.)
L. F. Woodruff, "Principleso f Electric Power Transmission",
2 ed., Wiley, 1938. (Chap. 10, corona and Insulators, effect of wire
size, distribution of voltage on insulator string.)
W. S. Peterson et al, "Symposiumo n operation of the Hoover Dam
transmission line", Trans. AIEE, vol. 58, p. 131-60, April 1939.
(Description,c orona, insulation. 287.5 Kv RMS. Many references.)
L. B. Loeb, "FundamentalP rocesses of Electrical Discharge in
Gases", Wiley 1939.
ew
(cid:10)
Harold A. V.:heeler Jc,:2 33, Report 301 561031, Page 107
F. Hol1ia4hurst,H . F. .1.ann",R eplacemento f the main aerial sys-
tem at Rugby radio station, Post Office Electrical Engineers Jour.,
vol. 33, p. 22- , 1940.
L. B. Loeb, J. M. (cid:127)eek, "The Mechanism of the Electric Spark",
Stanford U. Press, 1941. (Corona on wire, p. 142, 162-72.)
A. E. Knowlton, "StandardH andbook for Electrical Engineers",
7 ed., McGraw-Hill, 1941. (W. W. Woodruff, Sec. 13, power transmiss-
ion. Typical lines, par. 11-2. Conductors, par. 46-52. Corona,
effect of wire size, par, 60-5. Ice and wind, parc-108-16.)
IRE, "Standardso n Radio Wave Propagation,D efinitions of Terms",
1942.
H. A. Wheeler, "Formulas for the skin effect", Proc. IRE, vol,
50, p. 412-24, Sept. 1942. (Skin depth in metal conductors.)
H. B. Dwight, "ElectricalC oils and Conductors", McGraw-Hill,
1945. (Wires, coils, skin effect.)
F. W. Grover, "InductanceC alculations",V an Nostrand, 1946.
(Wires, coils, skin effect.)
G. G. MacFarlane, "Surface impedance of an infinite parallel-
wire grid at oblique angles of incidence", Jour. IEE, vol. 93, part
IIIA, p. 1523-7, 1946. (Inductancet oward current in wires.)
W. West, A. Cook, L. L. Hall, H. E. Sturgess, "The radio trans-
mitting station at Criggion", Jour. IEE, vol. 94, part IIIA, p. 269-
82, 1947. (VLF transmitter and aerial for 16 Kc.)
C. E. Smith, E. M. Johnson, "Performanceo f short antennas",
Proc. IRE, vol. 35, p. 1026-58, Oct. 1947. (Effects of top loading(cid:10)
and ground losses, e..qperiment1s2 0-400 Kc.)
ew
Harold A. Wheeler Job 233, Report 301 561031, Page 108
H. A. Wheeler, "Fundamentall imitationso f small antennas",
Proc. IRE, vol. 35, p. 1479-84, Dec. 1947. (Antennas sMaller than the(cid:10)
radiansphere.)
IE "Standardso n Antennas, Modulation Systems, Transmitters;
,
Definitions of Terms", 1940.
IRE, "Standar:iosn Antennas; Methods of Testing", 1943.
H. Pcnder, W. A. Delmar, "ElectricalE ngineers Handbook, Elec-
_-
tric Power", 4 ed., Wiley, 1949. (Soc. 14: corona, p. 29-31; ice,
p. 52-4; wind, p. 54-7; insulator strin, p. 116-9; high-voltage
cables, p. 174-5.)
(35) L. C. Smeby, "Short antenna characteristics- theoretical",
Proc. IRE, vol. 37, p. 1185-94, Oct. 1949. (Umbrella on tower.)
H. A. Whee.ler," The limitationso f a wideband power amplifier",
Wheeler Monographs,N o. 13, June 1950. (Bandwidtho f approximationt o
a constant pure resistance.)
K. Henney, "Radio Engineering Handbook", 4 ed., McGraw-Hill,
1950. (E. A. Laport, low-frequencyt ransmittinga ntennas, p. 609-23.)
H. P. Williams, "Antenna Theory and Design, vol. 2, The Electri-
cal Design of Antennae", Pitman, 1950. (Chap. 2, long and medium-wave
antennae.)
F. Gutzmann, "Transmitter- Goliath", Air Technical Intelligence
Translation F-TS-8355/V (after World War II). (Antenna for 15-60 Kc,
1 Mw.)
H. A. Wheeler, "The capacitance of two parallel wires of differ-
ent diameters",W heeler Monographs, No. 14, Aug. 1950. (Including
parallel connection.)
ew