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# 32 - 1 ECSE 210 Circuit Analysis ECSE 210 Circuit Analysis...

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Unformatted text preview: 1 ECSE 210: Circuit Analysis ECSE 210: Circuit Analysis Lecture#32: Two-Port Networks Moday, Apr 4, 2005 Two-Port Transmission Paramters Æ Commonly referred to as the ABCD-parameters . +- Linear Network 1 V +- 2 V 1 I 2 I Æ Note the voltage polarities, and current directions. Æ Using the principle of superposition we get: 2 2 1 I V V B A − = 2 2 1 I V I D C − = ABCD- Paramters Æ A, B, C and D are complex constants of proportionality with units of Ohms ( Ω ), Siemens (S), or unit-less. Æ Common in Transmission-line models Æ Two equations describe two-port operation. Æ Once A, B, C and D are known, the input/output operation of the two-port network is completely defined. Æ The transmission parameter matrix is: ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 2 1 1 I V I V D C B A ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = D C B A t t t t T 22 21 12 11 2 2 1 I V V B A − = 2 2 1 I V I D C − = ABCD - Paramters 2 1 I V B − = 2 = V Î 2 1 2 = − = V I V B Î 2 1 V V A = 2 = I Î 2 1 1 = = I V V A Î 2 1 I I D − = 2 = V Î 2 1 2 = = V I I D Î 2 1 V I C = 2 = I Î 2 1 1 = = I V I C Î ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 2 1 1 I V I V D C B A 2 2 1 I V V B A − = 2 2 1 I V I D C − = Equivalent Circuits +- +- 11 z 22 z...
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32 - 1 ECSE 210 Circuit Analysis ECSE 210 Circuit Analysis...

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