Lecture 3

# Lecture 3 - Single Phase Circuit Review Inductive circuit...

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02/23/10 360 Topic 1 Single-phase and Three-phase Circuits 1 Single Phase Circuit Review Inductive circuit The φ phase-shift between the current and voltage is negative. The current is lagging with respect to the voltage . R L V a b g V L V R I V(t) I(t) φ 0 60 120 180 240 300 360 10 5 0 5 10 V( ) t I( ) t t

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02/23/10 360 Topic 1 Single-phase and Three-phase Circuits 2 Single Phase Circuit Review Capacitive circuit The φ phase shift between the current and voltage is positive. The current is leading with respect to the voltage. t R C V a b g V c V R I v(t) i(t) φ 0 60 120 180 240 300 360 10 5 0 5 10 V( ) t I( ) t
02/23/10 360 Topic 1 Single-phase and Three-phase Circuits 3 Single Phase Circuit Review Illustration of capacitive (leading) and inductive (lagging) current. t v(t) I L (t) lagging I C (t) leading - φ φ

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02/23/10 360 Topic 1 Single-phase and Three-phase Circuits 4 Single Phase Circuit Review Complex Notation Impedance phasor: (resistance, capacitor, and inductance connected in series) Rectangular form: Exponential form: where: R Z X φ X j R ) X - (X j R ) C j 1 ( L j R T C L + = + = + + = ϖ Z e Z j φ = Z 2 2 X R + = Z ) R X ( tan a = φ
02/23/10 360 Topic 1 Single-phase and Three-phase Circuits 5 Single Phase Circuit Review Complex Notation Impedance phasor: (resistance, capacitor, and inductance connected in series) Polar form: R Z X φ ( 29 ( 29 [ ] cos Z φ + φ = = φ sin j Z e Z j 2 2 X R + = Z ) tan R X ( a = φ ) Z ( sin X φ = ) Z ( cos R φ =

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Lecture 3 - Single Phase Circuit Review Inductive circuit...

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