ECE201_Lecture14 - ECE201 Linear Circuit Analysis I Lecture...

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1 ECE201 Linear Circuit Analysis I Lecture 14. Topic: Maximum Power Transfer 1. Maximum power transfer for a linear resistor Under what condition is power absorbed by R L maximum? (1) When R L is a linear resistor (i.e., ) P L = i L 2 R L = v s R s + R L 2 R L maximum power transfer occurs when L = R s And P L,max = v s 2 4R s Proof : What value of R L maximizes P L ? dP L dR L = v s R s + R L 2 + R L v s 2 2 R s + R L ( ) 3 = v s 2 R s + R L 2R L R s + R L ( ) 3 = v s 2 R s R L R s + R L ( ) 3 Set dP L dR L = 0, then R L = R s or R L = ∞ R v L i L 0
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2 Is P L @ R L = R s a maximum or minimum? @ R L = 0, P L = 0 @ R L = , P L = 0 @R L = R s ,P L = v s R s + R L 2 R L = v s 2 4R s maximum P L,max = v s 2 4R s when R L = R s (2) For any two-terminal linear network, find Thevenin or Norton equivalent circuit first. then v oc v s R th R s P L,max = v oc 2 4R th @R L = R th R L R s 0 P L v s 2 4R s + - v oc R L R th Thevenin equivalent
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3 For Norton equivalent circuit, P L,max = i sc R th ( ) 2 4R th = i sc 2 4 R th @R L = R th 2.
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This note was uploaded on 04/19/2011 for the course ECE 201 taught by Professor All during the Spring '08 term at Purdue University-West Lafayette.

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ECE201_Lecture14 - ECE201 Linear Circuit Analysis I Lecture...

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