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16. Power Factor
Electricity
y
Active and Reactive Power
• Active power (kW): real power used
• Reactive power (kVAR): virtual power that
determines load/demand
• Utility pays for total power (kVA)
kVA = √ (KW)2 + (KVAR)2
Electricity
Electricity
Electricity
Electricity
Power Factor Correlation
Power Factor Correlation
Th (P ) i h
The power factor:  cos(φ)
• The average ac power (Pav) is the power
dissipated on the load resistor.
0≤ θ≤1 d d h l
• 0≤cosθ≤1, dependent on the complex
load.
Id l f t θ 1 Z R
• Ideal power factor: cosθ =1, Z=R, pure
resistive load
( )
t
V
t)
(
Z
I
V
I
t
P
2
~
cos
~
~
)
( =
θ
θ
( )
( )
θ
ω
ω
−
=
=
t
I
t
i
t
V
t
v
p
p
cos
)
(
cos
)
(
R
I
Z
I
2
2
~
cos
=
= θ
( )
p
R
I
=
Discussion of Problem –
Discussion of Problem 
Power Factor
– Power Factor is the percentage difference between 
apparent and actual power
apparent and actual power. 
ƒThe Electric utility requires at least 95%.
ƒP.S. SA‐8 was 84%.

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Power Factor brief.pdf

  • 2. Electricity y Active and Reactive Power • Active power (kW): real power used • Reactive power (kVAR): virtual power that determines load/demand • Utility pays for total power (kVA) kVA = √ (KW)2 + (KVAR)2
  • 4. Th (P ) i h The power factor:  cos(φ) • The average ac power (Pav) is the power dissipated on the load resistor. 0≤ θ≤1 d d h l • 0≤cosθ≤1, dependent on the complex load. Id l f t θ 1 Z R • Ideal power factor: cosθ =1, Z=R, pure resistive load ( ) t V t) ( Z I V I t P 2 ~ cos ~ ~ ) ( = θ θ ( ) ( ) θ ω ω − = = t I t i t V t v p p cos ) ( cos ) ( R I Z I 2 2 ~ cos = = θ ( ) p R I =
  • 5.
  • 6. Discussion of Problem – Discussion of Problem  Power Factor – Power Factor is the percentage difference between  apparent and actual power apparent and actual power.  ƒThe Electric utility requires at least 95%. ƒP.S. SA‐8 was 84%.