ECE201_38_Jung - ECE 201 Lecture 38 Complex power and...

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Click to edit Master subtitle style ECE 201 Lecture 38 Complex power and conservation of power Final Exam Calculator is allowed. No formula sheet is allowed -Basic formulas will be provided.
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Click to edit Master subtitle style Announcements Outcome makeup
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Click to edit Master subtitle style Announcements Last Lecture #37: Average power Effective value This Lecture #38: Complex power (reactive & apparent power) Conservation of power 1 1 ( ) ( ) ( ) T T av P p t dt v t i t dt T T τ τ τ τ + + = = Effective value of v(t) is the root-mean-square of v(t)
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Effective Value of Periodic Voltage Sources (cont.) Effective value of v(t) is the root-mean-square of v(t) Veff is always positive, and has the unit of Volt
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For Sinusoidal Signals has period By definition, the effective value (RMS) of v(t) is Veff only depends on Vm, not on ϖ and θ !
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0 0 .5 1 1 .5 2 2 .5 3 3 .5 4 -1 .5 -1 -0 .5 0 0 .5 1 1 .5 Effective Value of Sinusoidal Wave Conclusions : for a sinusoidal function Typically the effective (rms) value of nominal voltage (current) is indicated on the identification plate of AC electronic appliances For household AC voltage of 110 Volts, the actual Vm is its effective value (RMS) is
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Introducing Phasors in Power Calculations Passive sign convention In sinusoidal steady state: Average power consumed by the element: Pav is scalar…….
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