EE 330 Lect 28 Spring 2011

EE 330 Lect 28 Spring 2011 - EE 330 Lecture 28 Small-Signal...

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EE 330 Lecture 28 Small-Signal Model Extension Applications of the Small-signal Model
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      3 2 1 3 3 3 2 1 2 2 3 2 1 1 1 V , ,V V f I V , V f I V , V f I Nonlinear network characterized by 3 functions each functions of 3 variables Consider 4-terminal network I 1 I 2 I 3 V 1 V 2 V 3 4-Terminal Device Review from Last Lecture
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Consider now 3 functions, each a function of 3 variables 1 11 1 12 2 13 3 y y y  i v v v Extending this approach to the two nonlinear functions I 2 and I 3   Q V V j 3 2 1 i ij V V , ,V V f y 3 23 2 22 1 21 2 v y y y v v i 3 33 2 32 1 31 3 v y y y v v i 3 13 2 12 1 11 1 v y y y v v i This is a small-signal model of a 4-terminal network and it is linear 9 small-signal parameters characterize the linear 4-terminal network Small-signal model parameters dependent upon Q-point ! where Review from Last Lecture
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y 11 y 12 V 2 V 1 i 1 y 13 V 3 y 22 y 21 V 1 V 2 i 2 y 23 V 3 y 33 y 31 V 1 V 3 i 3 y 32 V 2 A small-signal equivalent circuit of a 4-terminal nonlinear network   Q V V j 3 2 1 i ij V V , ,V V f y Equivalent circuit is not unique Equivalent circuit is a three-port network Review from Last Lecture
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Small-Signal Model       1 1 1 2 3 2 2 1 2 3 3 3 1 2 3 ,, g g g i V V V i V V V i V V V I 1 I 2 I 3 V 1 V 2 V 3 4-Terminal Device 3 23 2 22 1 21 2 V y y y V V i 3 33 2 32 1 31 3 V y y y V V i 3 13 2 12 1 11 1 V y y y V V i   Q V V j 3 2 1 i ij V V , ,V V f y 3 Consider 3-terminal network Review from Last Lecture
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Small-Signal Model I 1 I 2 V 1 V 2 3-Terminal Device 2 22 1 21 2 V V i y y 2 12 1 11 1 V V i y y   Q V V j 2 1 i ij V ,V V f y y 11 y 22 y 12 V 2 y 2 1 V 1 V 1 V 2 i 1 i 2 A Small Signal Equivalent Circuit 2Q 1Q V V V Consider 3-terminal network 4 small-signal parameters characterize this 3-terminal (two-port) linear network Small signal parameters dependent upon Q-point Review from Last Lecture
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Small-Signal Model       1 1 1 2 3 2 2 1 2 3 3 3 1 2 3 ,, g g g i V V V i V V V i V V V I 1 I 2 I 3 V 1 V 2 V 3 4-Terminal Device 3 23 2 22 1 21 2 V y y y V V i 3 33 2 32 1 31 3 V y y y V V i 3 13 2 12 1 11 1 V y y y V V i   Q V V j 3 2 1 i ij V V , ,V V f y 2 Consider 2-terminal network Review from Last Lecture
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Small-Signal Model 1 11 1 y iV   Q 11 11 1 VV fV y V y 11 V 1 i 1 A Small Signal Equivalent Circuit 1Q Consider 2-terminal network I 1 V 1 2-Terminal Device Review from Last Lecture
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Small Signal Model of MOSFET     1 GS T DS D OX GS T DS GS DS GS T 2 OX GS T DS GS T DS GS T 0 V V V W I μC V V V V V V V V L2 W μC V V V V V V V V 2L T 
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EE 330 Lect 28 Spring 2011 - EE 330 Lecture 28 Small-Signal...

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