Example 1 Load 1 Load 2 20 kVA 230 Vrms R 20 mH pf 0.8 lagging 50 Hz

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Presentation transcript:

Example 1 Load 1 Load 2 20 kVA 230 Vrms R 20 mH pf 0.8 lagging 50 Hz If the combined power factor of the load 1 and load 2 is 0.75 lagging, determine the value of R.

Things You Should know: Power-Impedance Relationships Reactive power of L, QL, is positive Reactive power of C, QC, is negative Pre-requisite: Basic Trigonometry Complex number

Solution: Load 1: Load 2: P2 Q2 S2 q2 P1 Q1 S1 q1 Total Load: ST QT=Q1+Q2 qT PT=P1+P2 Note: The power triangles were drawn not to scale

P1 Q1 S1 q1  

P2 Q2 S2 q2 

PT QT ST qT  

PT QT ST qT  

Exercise 1 Load 1 pf 0.8 lagging 20 kVA C 5 W Load 2 230 Vrms 50 Hz If the combined power factor of the load 1 and load 2 is 0.95 lagging, determine the value of C.

If V1 = 2000 V rms, determine: Example 2: 4 kW pf 0.9 lagging 6 kVAR pf 0.5 leading Vs Is 0.1 W 0.3 W 0.2 W + - V1 Load 1 Load 2 If V1 = 2000 V rms, determine: (i) Vs and Is (ii) Complex power for all circuit elements (exclusive of the source) (iii) Complex power supplied by the source.

If I1 = 4545 A rms, determine: Exercise 2: 4 kW pf 0.9 lagging 6 kVAR pf 0.5 leading Vs Is 0.1 W 0.3 W 0.2 W Load 1 Load 2 I1 If I1 = 4545 A rms, determine: (i) Vs and Is (ii) Complex power for all circuit elements (exclusive of the source) (iii) Complex power supplied by the source.