Chapter 11 – Power AC Circuits

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Chapter 11 AC Power Analysis
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Presentation transcript:

Chapter 11 – Power AC Circuits Resistor: Assume: vR(t) = Vm cos(ωt) Instantaneous Power: Average Power:

Inductor: Assume: iL(t) = Im cos(ωt) Instantaneous Power: Capacitor: Assume: vc(t) = Vm cos(ωt) Instantaneous Power:

If you apply a V=100cos(wt) to a Capacitor and an Inductor…

In General i(t) = Im cos(ωt- θ) v(t) = Vm cos(ωt) Instantaneous Power:

Complex Power

Example1. Find Power factor Real (ave.), reactive, and apparent power

Maximum Average Power Transfer What value of ZL will receive maximum average power?

Example 2. Find the impedance, ZL, of the load that will receive maximum power from the circuit. What is the maximum power?

Example 3. Find the resistance, RL, of the load resistor that will receive maximum power from the circuit. What is the maximum power?

Power Factor Correction Low power factor means high apparent power for same P. To increase pf, add a capacitor parallel to the inductive load. What value of C is needed to change pf from cosθ1 to cosθ2?

Example 2. When connected to a 120-V (rms), 60-Hz line, a load absorbs 4 kW at a lagging power factor of 0.8. Find the value of capacitance necessary to raise the power factor to 0.95

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