30 - 1 ECSE 210: Circuit Analysis ECSE 210: Circuit...

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Unformatted text preview: 1 ECSE 210: Circuit Analysis ECSE 210: Circuit Analysis Lecture#30: Two-Port Networks Wed, March 30, 2005 Two-Port Impedance Paramters Æ Commonly referred to as the Z-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 12 1 11 1 I I V z z + = 2 22 1 21 2 I I V z z + = 2 Z- Paramters Æ z ij are complex constants of proportionality with units of Ohms ( Ω ). Æ Two equations describe two-port operation. Æ Once z 11 , z 12 , z 21 , z 22 are known, the input/output operation of the two-port network is completely defined. Æ z ij are the impedance parameters or Z-parameters. Æ The Z-parameter matrix is: ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 1 22 21 12 11 2 1 I I V V z z z z ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = 22 21 12 11 z z z z Z 2 12 1 11 1 I I V z z + = 2 22 1 21 2 I I V z z + = Z- Paramters 1 11 1 I V z = 2 = I Î 1 1 11 2 = = I I V z Î 2 12 1 I V z = 1 = I Î 2 1 12 1 = = I I V z Î 1 21 2 I V z = 2 = I Î 1 2 21 2 = = I I V z Î 2 22 2 Ι = z V 1 = I Î 2 2 22 1 = = I I V z Î ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 1 22 21 12 11 2 1 I I V V z z z z 2 12 1 11 1 I I V z z + = 2 22 1 21 2 I I V z z + = 3 Z- Paramters vs Y-Parameters ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 1 22 21 12 11 2 1 I I V V z z z z +- Linear Network 1 V +- 2 V 1 I 2 I ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 1 22 21 12 11 2 1 V V I I y y y y 1 22 21 12 11 22 21 12 11 − ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ y y y y z z z z 1 − = Y Z Example...
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This note was uploaded on 01/27/2011 for the course ECSE 334 taught by Professor Anashamoui during the Spring '10 term at McGill.

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30 - 1 ECSE 210: Circuit Analysis ECSE 210: Circuit...

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