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Electrical Engineering (Essay Sample)

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Electrical engineering research paper.

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Electrical Engineering
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Lumped Matching Networks
Consider a transmission line below that is terminated by a load ZL.
For the load to match the transmission line, the condition á´¦Type equation here.Ó¶L =0. Nonetheless a circuit with
ZL ≠ Z0 must be connected between loads ZL and Z0 to make the VSWR =1 or as least as possible.
If Ó¶L=0 , then it means that Zin = Z0. This can explained as Rin= RÄ™[Z0] and Xin=0, in a lossless TL.
Matching networks in L networks comprises of
where RL ˃Z0:
Where RLË‚ Z0: Note that ZL = RL + jXL:
There exist about eight combinations of capacitors and inductors in an L network:
-14287552006500RL ˃Z0:
RLË‚ Z0:
The above matching networks are lossless or the loss could be made negligible by using appropriate components (Rizzi 1988).
Consider the lumped network below when RL ˃Z0:
Its analytic solution is given by equating
The real part of the equation is given by RęLH= RęRH
Z0(1-BXL)=(RL-XBRL)→B(XRL-XLZ0) = RL-Z0
The imaginary part of the equation is given by JmLH =JmRH
BRLZ0= XL + X(1-BXL)→X(1-BXL)=BZ0RL-XL
Consider network below when RL Ë‚ Z0:
The real part of the equation is given by RęLH= RęRH :
BZ0(X+XL) = Z0 - RL
The imaginary part is given by JmLH =JmRH:
(X + XL)= BZ0RL
In lumped matching networks, when the load admittance or impedance has a reactive part that is dominant, it can is included in the component element needed by the L network so as to obtain a maximum bandwidth. This technique of absorbing the load reactance into a matching network is a major step toward achieving broad-band matching. This technique can be used to match antennas of resistance less than...
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