1 ac power calculation power factor correction dr. nik rumzi nik idris see 1023 circuit theory
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AC POWER CALCULATIONAC POWER CALCULATIONPower Factor CorrectionPower Factor Correction
Dr. Nik Rumzi Nik IdrisDr. Nik Rumzi Nik Idris
SEE 1023 Circuit TheorySEE 1023 Circuit Theory
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Power FactorPower Factor
As we have seen before (for sinusoidal voltage and current),
p.f. = cos (vi)
The REAL power (or average power) is transformed into useful energy
e.g. heat, mechanical, light, sound, etc
For a given Vrms and P, loads with high power factor draw LESS current compared with loads with low power factor
P = Vrms Irms cos (vi)
Load+Vrms
Irms Vrms = Vrmsv
Irms = Irmsi
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Power FactorPower Factor
For a given Vrms and P, loads with high power factor draw LESS current compared with loads with low power factor
Pave
p.f. = cos 1
Vrms
I1, rms
Pave
p.f. = cos 2
Vrms
I2, rms
cos 1 > cos 2
1 < 2
PavePave
1 2
rmsrms,1 V
I 1Srms
rms,2 VI 2S
1SQ1
Q2
rms,2rms,1 II
2S
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Power FactorPower Factor
For a given Vrms and P, loads with high power factor draw LESS current compared with loads with low power factor
Less current results in LESS losses during transmission
Utility company (TNB) charge more to loads with LOW power factor
Therefore, it is desirable to increase the power factor
LoadSource+
I2R
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Power Factor CorrectionPower Factor Correction
Process of increasing the power factor without altering the voltage or current to the original load
PL
QL
1
2
QC
QT
(voltage and current to original load retained)
Before C added, S = PL + jQL p.f. = cos 1
After C added, S = PL + j(QL – QC) p.f. = cos 2 i.e. increased
+
VL
IL
+Vs (rms)
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Power Factor CorrectionPower Factor Correction
PL
1
QL
QC
2
QT
How do we calculate C?How do we calculate C?
Voltage across C = Vs (rms)
Impedance of C = C
1j
2
s
c
2
sc
QC
C1
QV
V