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TELE-TECH & - AmericanRadioHistory.Com

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. -. ' _<br />

220° 210° 200 190° 170° 160° 150°<br />

140° 150° 160° 170° 180° 190° 200° 210° 240°<br />

'..,,<br />

230°<br />

300 MV/61 130°<br />

130°<br />

,4<br />

230°<br />

240°<br />

120°<br />

2.0<br />

250° ,*tat*.<br />

__ p<br />

120°<br />

`' ,I'..!<br />

240°<br />

I<br />

110°<br />

110°<br />

,``,'=Q.<br />

250°<br />

+i1.:0<br />

260°<br />

100 °'<br />

100°<br />

....<br />

260°<br />

270°<br />

90°<br />

90°<br />

9/I1<br />

280°<br />

1=s1 y1<br />

270°<br />

80°<br />

80°<br />

280°<br />

290°<br />

. .<br />

70°<br />

70°<br />

290°<br />

,<br />

300°<br />

60°<br />

33000°<br />

10<br />

4.<br />

77F<br />

310°<br />

/<br />

50°<br />

=<br />

7y°<br />

9o. 90'<br />

.L0,.....í.A<br />

320°<br />

40° 330° 340° 350° 0° 10° 20° 30° 320°<br />

30° 20° 10° 350° 340° 330°<br />

,. iu.<br />

Fig. 1: Field strength of two 60' radiators spaced at 90°<br />

Calculating The<br />

Efficiency of<br />

By making use of a broadcast antenna array<br />

impedance and power analysis, it is possible<br />

to compare the pattern RMS current of the<br />

array with the base current and effective<br />

field of an omni -directional radiator of<br />

equivalent height and power input.<br />

Essentially for radiators of equal height, the<br />

method described may be adapted to<br />

arrays with unequal tower heights<br />

THIS article illustrates a relatively<br />

straightforward method<br />

for determining the efficiency of AM<br />

broadcast antenna arrays. The<br />

method described is essentially for<br />

arrays with radiators which are of<br />

equal height, but may be adapted to<br />

arrays with unequal tower heights.<br />

The point of particular merit is that<br />

integration is not required, but<br />

rather the results are obtained by<br />

merely making full use of an array<br />

impedance and power analysis.<br />

When a broadcast antenna array<br />

is comprised of equal height radiators,<br />

the parameters are proportional<br />

to either field strength or base<br />

current. It then follows that if the<br />

pattern RMS current is evaluated in<br />

terms of reference units, these may<br />

be converted to absolute current.<br />

This is so because through an impedance<br />

analysis it is possible to express<br />

the reference parameters in<br />

terms of current. The conversion to<br />

field strength is accomplished by<br />

comparing the pattern RMS current<br />

with the base current and effective<br />

field of an omni -directional radiator<br />

of equivalent height and power input.<br />

Direct proportion applies since<br />

field strength is proportional to input<br />

current.<br />

It is interesting to note that the<br />

Root Sum Square of the fields from<br />

individual elements comprising a<br />

directional array is equivalent to the<br />

RMS field of a single identical radiator.<br />

Assume for example a 3 element<br />

array with the nomenclature as outlined<br />

below:<br />

102<br />

where E.5 = field of single element<br />

with input power<br />

of P<br />

P = power input to the<br />

array<br />

Pa = base power at radiator<br />

n<br />

In = base current at radiator<br />

n<br />

Rn = operating resistance<br />

of radiator n<br />

En = calculated field of radiator<br />

n with input power<br />

of Pn<br />

Kn = relative current at<br />

radiator n<br />

Fig. 2: Field strength<br />

of two 60' radiators<br />

spaced at 210'<br />

130<br />

250°<br />

110'<br />

100'<br />

270°<br />

280°<br />

80°<br />

290°<br />

70°<br />

300°<br />

60°<br />

310°<br />

50°<br />

by definition<br />

Er.. = (E; + E6" + E°-) (1<br />

C<br />

E<br />

rm.<br />

)=+(<br />

E .m.<br />

)<br />

P./ \ P6/<br />

Erm \214<br />

P<br />

P°<br />

1 1 1 1<br />

=E. i + P+ P 1<br />

220° 210° 200° 190° 170° 160° 150° 140°<br />

140° 150° 160° 170° 180° 190° 200° 210°<br />

320° 330' 340° 350°<br />

40° 30° 20° 10°<br />

Li<br />

° 10° 20° 30°<br />

350° 340° 330°<br />

40°<br />

320°<br />

130°<br />

230°<br />

120°<br />

240°<br />

110°<br />

250°<br />

100°<br />

260°<br />

90°<br />

270°<br />

80°<br />

280°<br />

70°<br />

290°<br />

60°<br />

300°<br />

50°<br />

310°<br />

Tele -Tech & ELECTRONIC INDUSTRIES June 1956

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