Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 1
What are the different types of loads?
Ohmic loads
Lighting bulbs
Iron
Resistive heating
Capacative loads
Capacitors
Underground cables
Over excited synchronous generators
GRID
Power Factor Correction - Basics
Inductive loads
Electrical Motors
Transformers
Reactors/chokes
Overhead lines
Under excited
Synchronous generators
Discharge lamps
Power electronic
FK PC PM PFC Januar 07 Page: 2
Real Power (kWh)
POWER
0
Power Factor Correction - Basics
π
V
Ip
2
π
FK PC PM PFC Januar 07 Page: 3
PhaseShift V and I
V
I
0
Power Factor Correction - Basics
π
2
π
FK PC PM PFC Januar 07 Page: 4
Reactive Power (kVAr)
V
POWER
Iq
0
Power Factor Correction - Basics
π
2
π
FK PC PM PFC Januar 07 Page: 5
What is the power factor?
Power factor = cos ϕ cos-phi = P (kW) / S (kVA)
Current
+ ve
Phase shift
Power ϕ
+ ve
-ve
Voltage t
Power Factor Correction - Basics
Breweries
Factory
Butcher's
Cement plant
Compressor
Cranes
Drying-Plants
Machinery, big sized
Machinery, small sized
Plywood
Sawmill
Steel factory
Suggar
Tobacco
Water pumps
Typical uncompensated PF
0,6..0,7
0,6..0,7
0,6..0,7
0,7..0,8
0,5..0,6
0,8..0,9
0,5..0,6
0,4..0,5
0,6..0,7
0,6..0,7
0,6..0,7
0,8..0,85
0,6..0,7
0,8..0,85
FK PC PM PFC Januar 07 Page: 6
Three different types of electrical power
• S = Apparent Power
• P = Active Power
• Q = Reactive Power
Power Factor Correction - Basics
Active Power
P = S ² Q ²
[ KW ] ϕ
2
Reactive Power ( kvar)
Q
=
S
2 -
P
2
Q
2
Q
C
Q
1
S
2 ϕ
1
S
1
Apparent Power
S
=
P ²
+
Q ²
[ kVA ] cos ϕ
= P/S sin = Q/S
Q = S sin ϕ
Q = P tan ϕ ϕ
= phase displacement angle
S
1
= uncompensated apparent
S
2
= compensated power capacitors for compensation with power
FK PC PM PFC Januar 07 Page: 7
Principle of PFC
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 8
What are the benefits of Power Factor Correction?
Reduction of electricity bill (power factor penalties)
System kVA- release
Reduction of ohmic losses, voltage drops
Power Quality improvement (voltage sags…)
Higher kW loading (utilization) of transmission and distribution equipment and/or smaller dimensioning of this equipment (cable, transformer, bus bars,...)
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 9
Example of a PFC System
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 10
Example: Current reduction in main supply cable?
HV Grid
Transformer
630 kVA, u k
= 5 %
Current = 666 A
HV Grid
Transformer
630 kVA, u k
= 5 %
Current = ???
M
3 ~
300 kW
Cos ϕ
= 0.65
M
3 ~
300 kW
Cos ϕ
= 0.65
Current reduction: ???
Capacitor bank
Qc = 10 * 25 kVAr
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 11
Types of PFC/PQS
Individual PFC
Group PFC
Centralized PFC
Mixed PFC
Dynamic PFC
De-tuned harmonic filter
Tuned harmonic filter
Active filter
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 12
Methods of PFC: 1. Individual (fixed) Compensation
Advantages at a glance kvar produced on the spot
Reduction of line losses
Reduction of voltage drops
Saving of switch gear
Disadvantages
Many small capacitors are more expensive than one central one
Low utilization factor of capacitors for equipment not often in operation
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 13
Methods of PFC: 2. Group Compensation
Advantages at a glance
Reduction of capital investment
Loses reduced in distribution lines
Voltage drops reduced in distribution lines
Higher utilization factor of capacitors
M M M
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 14
Methods of PFC: 3. Centralized Compensation controller
Advantages at a glance
Best utilization of the capacitors
Most cost effective solution
Easier supervision
Automatic control
M M M
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 15
Methods of PFC: 4. Dynamic PFC
Advantages of dynamic PFC at a glance
Real time power factor correction; e.g. essential for cranes or lifts
Smooth switching of capacitors, avoids inrush current
Less problems with power quality, such as voltage sags
Voltage stabilizing
Longer life cycle of capacitor banks
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 16
Methods of PFC: 4. Dynamic PFC
Voltage sags due to high inrush currents
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 17
Methods of PFC: 4. Dynamic PFC
M M M
Power Factor Correction - Basics controller
FK PC PM PFC Januar 07 Page: 18
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 19
Single line diagram essential for system study
110 kV
Power uility
3x5 MVA Station 10
35 kV
16 MVA
1.6 MVA
4 %
S k
"=310...360 MVA
16 MVA n. o.
Station 15
1.6 MVA
4 %
1x500 kW
2x250 kW
(Converter)
Harmonic Filter
320 kW
(Converter)
5x300 kW
(Converter)
1.6 MVA
4 %
4x300 kW
(Converter)
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 20
Frequently asked questions
ß
What is the thumb rule for selection of kvar size for motor fixed compensation?
ß
How to find the active load of a motor for calculating the capacitor size?
ß
In factories with many loads it is problematic to calculate the required capacitor output during planning status.
1) Why?
2) How to select a suitable kvar size?
ß
When to select:
A) Fixed B) Group C) Centralised - compensation
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 21
Example
Question:
• A textile factory with a total load of 400 kW shows an actual power factor of 0.55 (phi=56.6°)
• The local power utility asks for a target PF=0.98
(phi=11.5 °)
What capacitor output is required to avoid surcharges for low PF?
Power Factor Correction - Basics
HV Grid
Transformer
630 kVA, u k
= 5 %
M
3 ~
400 kW cos ϕ
= 0.55
Capacitor bank
Qc = ?? kvar
FK PC PM PFC Januar 07 Page: 22
Example
Solution:
¿ Qc = P * (tang phi1 - tang phi 2) = 400*(tan (56.5) - tan(11.5)) = 523 kvar
(where phi1 is the phase angle of existing power factor and phi2 is the phase angle of target power factor)
¿ We recommend a capacitor bank design: 25 kvar + 10 steps of 50 kvar
¿ Depending on types of loads, e.g. frequency converters, a de-tuned capacitor bank should be used
Power Factor Correction - Basics FK PC PM PFC Januar 07 Page: 23