31 - 1 ECSE 210 Circuit Analysis ECSE 210 Circuit Analysis Lecture#31 Two-Port Networks Friday Apr 1 2005 Two-Port Hybrid Paramters Æ Commonly

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Unformatted text preview: 1 ECSE 210: Circuit Analysis ECSE 210: Circuit Analysis Lecture#31: Two-Port Networks Friday, Apr 1, 2005 Two-Port Hybrid Paramters Æ Commonly referred to as the H-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 V I V h h + = 2 22 1 21 2 V I I h h + = 2 H- Paramters Æ h ij are complex constants of proportionality with units of Ohms ( Ω ), Siemens (S), or unit-less. Æ Common in transistor models. Æ Two equations describe two-port operation. Æ Once h 11 , h 12 , h 21 , h 22 are known, the input/output operation of the two-port network is completely defined. Æ z ij are the impedance parameters or H-parameters. Æ The H-parameter matrix is: ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 1 22 21 12 11 2 1 V I I V h h h h ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = 22 21 12 11 h h h h H 2 12 1 11 1 V I V h h + = 2 22 1 21 2 V I I h h + = H- Paramters 1 11 1 I V h = 2 = V Î 1 1 11 2 = = V I V h Î 2 12 1 V V h = 1 = I Î 2 1 12 1 = = I V V h Î 1 21 2 I I h = 2 = V Î 1 2 21 2 = = V I I h Î 2 22 2 V I h = 1 = I Î 2 2 22 1 = = I V I h Î ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 1 22 21 12 11 2 1 V I I V h h h h 2 12 1 11 1 V I V h h + = 2 22 1 21 2 V I I h h + = 3 Inverse Hybrid Parameters +- Linear Network 1 V +- 2 V 1 I 2 I 1 22 21 12 11 22 21 12 11 − ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ h h h h g g g g 1 − = H G ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 1 22 21 12 11 2 1 V I I V h h h h ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 1 22 21 12 11 2 1 I V V I g g g g Hybrid/Inverse Hybrid Parameters Î How do find Hybrid/Inverse Hybrid parameters....
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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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31 - 1 ECSE 210 Circuit Analysis ECSE 210 Circuit Analysis Lecture#31 Two-Port Networks Friday Apr 1 2005 Two-Port Hybrid Paramters Æ Commonly

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