Maximum Power Transfer in AC

AC Maximum Power Transfer

Step 1: Thevenin Equivalent Circuit

Zth = Rth + jXth

ZL = RL + jXL

Ztotal = (Rth + RL) + j(Xth + XL)

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Step 2: Current

I = Vth / (Zth + ZL)

|I|² = |Vth|² / [(Rth + RL)² + (Xth + XL)²]

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Step 3: Load Power

PL = |I|² RL

PL = |Vth|² RL / [(Rth + RL)² + (Xth + XL)²]

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Maximum Power Condition

ZL = Rth − jXth

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Interactive AC Simulator

Vth

Rth

Xth

Load Resistance RL 5 Ω

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Power System Stability Simulator

P = (E V / X) sin(δ)

Generator Voltage E

Bus Voltage V

Line Reactance X

Power Angle δ 30°