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lecture13 - power s L = = P P η Thevenin equivalent cannot...

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1 Maximum Power Transfer Problem Statements Network of Sources and Resistors i L R L o o a b + v L - • What’s the maximum power that can be delivered to a load? • What’s the value of R L that maximizes the power? • What’s the efficiency of power transfer? Maximum Power Transfer V Th R Th . . a b + v L - i L R L L 2 Th L Th L 2 L L ) ( R R R V R i P + = = Thevenin equivalent circuit Power absorbed by load resistor: 0 L L = dR dP To find the value of R L for which P L is maximum, set L Th L Th L 2 L Th 4 L Th L Th L 2 L Th 2 Th L L ) ( 2 ) ( 0 ) ( ) ( 2 ) ( R R R R R R R R R R R R R R V dR dP = + = + = + + + =
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2 Results of Maximum Power Transfer • The maximum power transfer takes place when the load resistance R L =R Th • The maximum power transferred to the load • The efficiency of power transfer Th Th Th L L max 4 ) ( 2 R V R R P P = = = source by the generated power load the to delivered
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Unformatted text preview: power s L = = P P η Thevenin equivalent cannot be used to calculate power efficiency in the original network. Maximum power transfer condition results in 50 percent efficiency in Thevenin equivalent, however much lower efficiency in the original circuit. Maximum Power Transfer -Example a) Find the value of R L that results in maximum power being transferred to R L . b) Calculate the maximum power that can be delivered to R L . c) When R L is adjusted for maximum power transfer, what percentage of the power delivered by the 360 V source reaches R L ? o 30 Ω 150 Ω 360 V R L o a b...
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This note was uploaded on 03/15/2009 for the course EE 112 taught by Professor All during the Spring '08 term at Cal Poly.

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lecture13 - power s L = = P P η Thevenin equivalent cannot...

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