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Practical_Antenna_Handbook_0071639586

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C h a p t e r 4 : T r a n s m i s s i o n L i n e s a n d I m p e d a n c e M a t c h i n g 145<br />

I<br />

I max<br />

0<br />

/ 4<br />

/ 2<br />

Z<br />

Length<br />

Figure 4.13 Quarter-wavelength shorted stub.<br />

Series Matching Section<br />

The series matching section—also called the series section transformer—is a generalization<br />

of the Q-section that permits us to build an impedance transformer that overcomes the<br />

Q-section’s limitations. According to The ARRL <strong>Antenna</strong> Book, with appropriate choices<br />

of transmission lines this form of transformer is capable of matching any load resistance<br />

between about 5 and 1200 Ω. In addition, the transformer section does not have to be<br />

located at the antenna feedpoint.<br />

Figure 4.14 shows the basic layout of the series matching section. Three lengths of<br />

coaxial cable, L 1 , L 2 , and L 3 , serve to form the entire feedline connecting the antenna to<br />

the transmitter. Lengths L 2 and the line to the transmitter (L 3 , which is any convenient<br />

length and doesn’t appear in the equations) have the same characteristic impedance,<br />

usually 75 Ω, while section L 1 has a different impedance. Note that only standard, easily<br />

obtainable values of impedance are used here.<br />

The design procedure for this transformer consists of finding the correct lengths for<br />

L 1 and L 2 . You must know the characteristic impedance of the two lines (75 Ω and 50 Ω,<br />

respectively, in this example), along with the complex feedpoint impedance of the antenna,<br />

Z L = R L + jX L .

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