# 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

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

## This note was uploaded on 01/27/2011 for the course ECSE 334 taught by Professor Anashamoui during the Spring '10 term at McGill.

### Page1 / 14

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

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online