ECE201_Lecture38 - ECE201 Linear Circuit Analysis I Lecture 38 Topic Complex Power Reactive Apparent Power Conservation of Power 1 Real Power Pave

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1 ECE201 Linear Circuit Analysis I Lecture 38 Topic: Complex Power: Reactive & Apparent Power; Conservation of Power 1. Real Power P ave = V eff I eff cos θ Z = V rms I rms cos Z What are the meanings of P ave , V eff (V rms ), I eff (I rms ), and Z ? What are their units? P ave is also called the Real Power , its unit is watts , or W . 2. Apparent Power The quantity V eff · I eff is called the Apparent Power , its unit is volt-ampere , or VA .
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2 3. Complex Power (1) Complex power is a phasor: eff v eff VV = ∠θ i eff eff θ I I = * eff eff I V S × (Definition of complex power) () eff v eff i eff eff v i eff eff z eff eff z SV I VI VI c o s j VI s i n =∠ θ × θ =⋅ θ θ + θ 1442 4 4 31 4 42 4 43 P ave + jQ (2) complex = average + j reactive power power power 22 eff eff z eff eff z eff eff SS o s i n == θ + θ = Therefore, the magnitude of the complex power is the apparent power in unit (VA). The reactive power: { } QI mS = (VAR) volt ampere reactive P ave = Scos θ z ( W ) Q = Ssin z = P ave tan z
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3 (3) Relationships Note the difference between real and complex numbers.
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This note was uploaded on 04/19/2011 for the course ECE 201 taught by Professor All during the Spring '08 term at Purdue University-West Lafayette.

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ECE201_Lecture38 - ECE201 Linear Circuit Analysis I Lecture 38 Topic Complex Power Reactive Apparent Power Conservation of Power 1 Real Power Pave

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