08-Maximum Power Transfer Thm

08-Maximum Power Transfer Thm - Maximum Power Transfer...

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Maximum Power Transfer Theorem © Fred Terry all, 008 Fall, 2008 1
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Motivation • All “Real” Sources Have Output Resistance hat Is the Maximum Amount of Power What Is the Maximum Amount of Power That Can Be Delivered From a Real Source A Load? to A Load? +- V s R s R L 2
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aximum Power Transfer Maximum Power Transfer Theorem • We can reduce any linear circuit with 2 output terminals to a Thevenin (or Norton Equivalent) we connect a resistive load R maximum If we connect a resistive load, R L , maximum power is delivered to the load when =R =R R L R TH R eq • At this condition, 2 2 44 NN TH L H RI V P R ⎡⎤ == ⎢⎥ 3 TH ⎣⎦
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Proof i a R TH + - V R ( ) 2 TH TH L L L iV R R PV a b i i Ri i R =+ =• = = L 2 2 TH LL L L VR P R = b ( ) TH L RR + L R ⎛⎞ Maximize s R () 2 23 2 1 0 2 TH L TH L TH L H L L PR V R R R = =− ⎢⎥ ⎜⎟ ++ ⎝⎠ = + vs. R L ( ) 22 02 TH LT H R V →+ →= ⎡⎤ 4 ( ) max 2 4 H TH TH TH L TH TH TH pP R = = == + ⎣⎦
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Intuitive • If R L
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08-Maximum Power Transfer Thm - Maximum Power Transfer...

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