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POWER FACTOR CORRECTION
Prakhar Deep Singh
EN 3rd year
1
OUTLINE
 DEFINITION
 CAUSES OF LOW POWER FACTOR
 DISADVANTAGES OF LOW POWER FACTOR
 POWER FACTOR CORRECTION
 ADVANTAGES OF POWER FACTOR CORRECTION
 CONCLUSION
 REFERENCES
2
DEFINITION:
 Power factor (P.F.) is the ratio between actual power
to the apparent power.
 Power factor = Actual power / Apparent power.
 P.F = Kilo watt / Kilo volt ampere.
3
Active Power:
Also known as “real power” or simply “power.” Active
power is the rate of producing, transferring, or using
electrical energy. It is measured in watts and often
expressed in kilowatts (KW) or megawatts (MW). The
terms “active” or “real” power are used in place of the
term “power” alone to differentiate it from “reactive
power.
4
Apparent Power:
The product of the voltage (in volts) and the current
(in amperes). It comprises both active and reactive
power .
It is measured in “volt-amperes” and often expressed
in
“ kilovolt-amperes” (KVA) or “megavolt-amperes”
(MVA).
POWER FACTOR DEFINITION
• Inductive loads cause the current to lag behind the
voltage. The wave forms of voltage and current are
then "out of phase" with each other. The more out of
phase they become then the lower the Power Factor.
Power Factor is usually expressed as Cos Phi. (Ø)
5
Consider a canal boat being pulled by a horse.
If the horse could walk on water then the angle (Phi) Ø would be zero
and COSINE Ø=1. Meaning all the horse power is being used to pull
the load.
However the relative position of the horse influences the power. As the
horse gets closer to the barge, angle Ø1 increases and power is
wasted, but, as the horse is positioned further away, then angle Ø2
gets closer to zero and less power is wasted.
6
CAUSES OF LOW POWER FACTOR
A poor power factor can be the result of either a
significant phase difference between the voltage
and current at the load terminals or it can be due to
a high harmonic content or distorted/discontinuous
current waveform. Poor load current phase angle is
generally the result of Poor load current phase angle
is generally the result of an inductive load such as an
induction motor power transformer, lighting ballasts,
welder or induction furnace, Induction generators
Wind mill generators and high intensity discharge
lightings.
7
CAUSES OF LOW POWER FACTOR
A distorted current waveform can be the result of a rectifier variable
speed drive, switched mode power supply, discharge lighting or other
electronic load.
8
POWER FACTOR CORRECTION
Power factor decreases with the installation of non
resistive loads such as induction motors, Transformers.
Lighting ballasts and electronic equipments. Power
factors can be corrected by using capacitors. These
are rated in electrical units called VAR or KVAR.One
VAR is equivalent to one volt of reactive power. VAR
then are units of measurement for indicating just
how much reactive power the capacitor will supply.
9
As reactive power is usually measured in thousands the letter K is used
for thousand. the capacitor KVAR rating then shows how much
reactive power the capacitor will supply. Each unit of the capacitor's
KVAR will decrease the inductive reactive power demand.
10
POWER FACTOR CORRECTION
Most loads on an electrical distribution system fall
into one of three categories; resistive, inductive or
capacitive. In most plant, the most common is likely
to be inductive. Typical examples of this include
transformers, fluorescent lighting and AC induction
motors. Most inductive loads use a conductive coil
winding to produce an electromagnetic field,
allowing the motor to function.
11
All inductive loads require two kinds of power to operate:
Active power (KW) - to produce the motive force
Reactive power (KVAR) - to energize the magnetic field
The operating power from the distribution system is composed of both
active (working) and reactive (non-working) elements. The active
power does useful work in driving the motor whereas the reactive
power only provides the magnetic field.
12
POWER FACTOR CORRECTION
The amount of Power Capacitor KVAR required to
correct
A system to a desired Power Factor level is the
difference between the amount of KVAR in the
uncorrected system and the amount of desired KVAR
in the corrected system. The most efficient location
for power factor capacitors is at the load. Capacitors
work from the point of installation back to the
generating source. Individual motor correction is not
always practical, sometimes it is more practical to
connect larger capacitors on the distribution bus or
install an automatic system at the incoming service
along with fixed capacitors at the load.
13
KVAR CORRECTION
Capacitive Power Factor correction (PFC) is applied
to electric circuits as a means of minimising the
inductive component of the current and thereby
reducing the losses in the supply.
The introduction of Power Factor Correction
capacitors is a widely recognised method of
reducing an electrical load, thus minimising wasted
energy and hence improving the efficiency of a
plant and reducing the electricity bill.
14
It is not usually necessary to reach unity, i.e. Power Factor 1, since
most supply companies are happy with a PF of 0.95 to 0.98.
By installing suitably sized switched capacitors into the circuit, the
Power Factor is improved and the value becomes nearer to 1 thus
minimising wasted energy and improving the efficiency of a plant or
power factor can be increased by synchronous motor or Synchronous
generators.
15
POWER FACTOR CORRECTION METHODS
• Static Var Compensator(SVC)
• Fixed Capcitors
• Switch Capacitors
• Synchronous Condensors
• Static Synchronous Compensator(STATCOM)
• Modulated power filter capacitor compensator
16
STATIC VAR COMPENSATOR
(SVC)
The Static Var Compensator (SVC) is a shunt device
of the Flexible AC Transmission Systems (FACTS) family
using power electronics to control power flow and
improve transient stability on power grids [1]. The SVC
regulates voltage at its terminals by controlling the
amount of reactive power injected into or absorbed
from the power system. When system voltage is low,
the SVC generates reactive power (SVC capacitive).
When system voltage is high, it absorbs reactive
power (SVC inductive).
17
The variation of reactive power is performed by switching three-phase
capacitor banks and inductor banks connected on the secondary
side of a coupling transformer. Each capacitor bank is switched on
and off by three thyristor switches (Thyristor Switched Capacitor or
TSC). Reactors are either switched on-off (Thyristor Switched Reactor
or TSR) or phase-controlled (Thyristor Controlled Reactor or TCR).
18
A rapidly operating Static Var Compensator (SVC)
can continuously provide the reactive power
required to control dynamic voltage swings under
various system conditions and thereby improve the
power system transmission and distribution
performance.
Installing an SVC at one or more suitable points in
the network will increase transfer capability through
enhanced voltage stability, while maintaining a
smooth voltage profile under different network
conditions. In
addition, an SVC can mitigate active power
oscillations through voltage amplitude modulation
19
FIXED CAPACITOR
where the load does not change or where the capacitor
is switched with the load, such as the load side of a
Ideally suited for power factor correction in applications
motor contactor. It is suitable for locations using
induction motors, like food processing plants, or
where small multiple loads require reactive power
compensation.
Each Fixed Capacitor Bank is designed for high reliability and long life.
These products are designed for applications that do not contain
harmonic generating
20
SWITCHED CAPACITOR
It is suited for centralized power factor correction in applications
where plant loading is constantly changing, resulting in the need for
varying amounts of reactive power. An advanced microprocessor-
based reactive power controller measures plant power factor via a
single remote current transformer (included), and switches capacitor
modules in and out of service to maintain a user-selected target
power factor. Typically applied at service entrance or near fluctuating
loads.
21
SYNCHRONOUS CONDENSER
Synchronous condenser is a salient pole synchronous generator
without prime mover. Synchronous condenser stabilizes power system
voltage by supplying reactive power to the power system and Use for
power factor correction. It is more economical than capacitors.
22
SYNCHRONOUS CONDENSER
23
STATIC SYNCHRONOUS COMPENSTOR
(STATCOM)
The Static Synchronous Compensator (STATCOM) is a shunt device
of the Flexible AC Transmission Systems (FACTS) family using power
electronics to control power flow and improve transient stability on
power grids [1]. The STATCOM regulates voltage at its terminal by
controlling the amount of reactive power injected into or absorbed
from the power system. When system voltage is low, the STATCOM
generates reactive power (STATCOM capacitive).
24
When system voltage is high, it absorbs reactive power (STATCOM
inductive).Similarly to the SVC the STATCOM can provide
instantaneous and continuously variable reactive power in response
to grid voltage transients enhancing the grid voltage stability
25
Installing a STATCOM at one or more suitable points
in the network will increase the grid transfer
capability through enhanced voltage stability, while
maintaining a smooth voltage profile under different
network conditions. The STATCOM provides
additional versatility in terms of power quality
improvement capabilities
26
DETERMINING CAPACITOR VALUE
• Example
• Power Factor1=74%
• Actual Power=594 kw
• Interested to boost up=97% ,Power Factor2=97%
• Power Factor=KW/KVA
• Cos = kW / kVA
•  = Cos-1 (PF1)
•  = Cos-1 (74%) =42.27 o
27
• The reactive power was about:
• Tan = kVAr / kW
• kVAr = kW x tan
• kVAr = 594 kW x tan (42.27) = 540 kVAr
• If the power factor were increased to 97%, the reactive
power would be about:
• Cos = kW / kVA
•  = Cos-1 (PF2)
•  = Cos-1 (97%) = 14.07 o
• kVAr = kW x tan
• kVAr = 594 kW x tan (14.07) = 149 kVAr
28
• Thus, the amount of capacitance required to boost power factor from
74% to 97% :
• 540 kVAr – 149 kVAr = 391 kVAr
• So I recommended 400kvar
29
POWER CAPACITORS
POWER FACTOR CORRECTION ON SITE WITH
POLE CAP
30
POWER FACTOR MEASUREMENT
Power factor can measure by using power factor meter
which is well known in power industry.
Power factor can also be calculated by installing watt meter along
with the Ampere meter and volt meter by using the power factor
basic formula.
Power factor=Actual Power/ Apparent power
31
POWER FACTOR MEASUREMENT 32
ADVANTAGES OF POWER FACTOR
CORRECTION
• Eliminate Power Factor Penalties
• Increase System Capacity
• Reduce Line Losses in distribution systems
• Conserve Energy
• Improve voltage stability
• Less total plant KVA for the same KW working power
• Improved voltage regulation due to reduced line voltage drop
• Reduction in size of transformers, cables and switchgear in new installations
33
• Increase equipment life
• Save on utility cost
• Enhance equipment operation by improving voltage
• Improve energy efficiency
34
• Reduction in size of transformers, cables and switchgear in new
installations.
• Delay costly upgrades.
• Less total plant KVA for the same KW working power.
• Improved voltage regulation due to reduced line voltage drop.
35
POWER COST REDUCTION
Utility companies in many areas include a penalty
charge in the electrical rate for low power factor. The
installation of power factor capacitors on the user's
electrical distribution system eliminates the necessity of
paying premium rates to the utility company for poor
power factor.
36
The savings the utility company derives in reduced generation,
transmission and distribution costs are passed on to the user in the
form of lower electrical charges. Three of the more common ways a
utility charges a user for poor power factor are based on
37
• KW demand with a trigger point typically between
85% and 95%
• KVA demand
• KVAR demand
• When the utility uses either KVA demand or KVAR
demand as the basis for its penalty structure, all users
pay a penalty, but those with high power factor pay
a much lower penalty or none at all.
38
SYSTEM CAPACITY INCREASE
By adding capacitors to the system, the power factor is improved and
the KW capacity of the system is increased. For example, a 1,000 KVA
transformer with a 70% power factor provides 700 KW of power to the
main bus. With the installation of capacitors so that the power factor is
improved, say, to 90%, the KW capacity of the system is increased to
900 KW. When a system power factor is improved, the amount of
reactive current flowing
Is lowered thus reducing transformer and distribution circuit loads,
and releasing system capacity.
39
VOLTAGE IMPROVEMENT AND POWER LOSS
REDUCTION
System losses are also reduced through power factor correction by
reducing the total current and power in the system. A 20% reduction in
current will yield a 36% reduction in distribution system losses. In this
situation, an energy savings of as much as 50% will be realized with the
installation of power factor capacitors.
In addition, power factor capacitors decrease the distribution system
voltage drops and fluctuations.
40
DISADVANTAGES OF LOW POWER FACTOR
• Increases heating losses in the transformers and distribution
equipments.
• Reduce plant life.
• Unstabilise voltage levels.
• Increase power losses.
• Upgrade costly equipments.
• Decrease energy efficiency.
• Increase electricity costs by paying power factor surcharges.
41
CONCLUSION
By observing all aspects of the power factor it is
clear that power factor is the most significant part for
the utility Company as well as for the consumer.
Utility company rid of from the power losses while the
consumer free from low power factor penalty
charges.
By installing suitably sized power capacitors into the
circuit the Power Factor is improved and the value
becomes nearer to 1 thus minimising line losses and
improving the efficiency of a plant.
42
REFERENCES
• Electrical Power System Design and Analysis
by M.E.EI-Hawary.
• Power System Operations
by Robert H Miller.
• IEEE papers
• www.ABB.com
• BC Hydro (www.bchydro.ca)
43

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Power factor correction

  • 1. POWER FACTOR CORRECTION Prakhar Deep Singh EN 3rd year 1
  • 2. OUTLINE  DEFINITION  CAUSES OF LOW POWER FACTOR  DISADVANTAGES OF LOW POWER FACTOR  POWER FACTOR CORRECTION  ADVANTAGES OF POWER FACTOR CORRECTION  CONCLUSION  REFERENCES 2
  • 3. DEFINITION:  Power factor (P.F.) is the ratio between actual power to the apparent power.  Power factor = Actual power / Apparent power.  P.F = Kilo watt / Kilo volt ampere. 3
  • 4. Active Power: Also known as “real power” or simply “power.” Active power is the rate of producing, transferring, or using electrical energy. It is measured in watts and often expressed in kilowatts (KW) or megawatts (MW). The terms “active” or “real” power are used in place of the term “power” alone to differentiate it from “reactive power. 4 Apparent Power: The product of the voltage (in volts) and the current (in amperes). It comprises both active and reactive power . It is measured in “volt-amperes” and often expressed in “ kilovolt-amperes” (KVA) or “megavolt-amperes” (MVA).
  • 5. POWER FACTOR DEFINITION • Inductive loads cause the current to lag behind the voltage. The wave forms of voltage and current are then "out of phase" with each other. The more out of phase they become then the lower the Power Factor. Power Factor is usually expressed as Cos Phi. (Ø) 5
  • 6. Consider a canal boat being pulled by a horse. If the horse could walk on water then the angle (Phi) Ø would be zero and COSINE Ø=1. Meaning all the horse power is being used to pull the load. However the relative position of the horse influences the power. As the horse gets closer to the barge, angle Ø1 increases and power is wasted, but, as the horse is positioned further away, then angle Ø2 gets closer to zero and less power is wasted. 6
  • 7. CAUSES OF LOW POWER FACTOR A poor power factor can be the result of either a significant phase difference between the voltage and current at the load terminals or it can be due to a high harmonic content or distorted/discontinuous current waveform. Poor load current phase angle is generally the result of Poor load current phase angle is generally the result of an inductive load such as an induction motor power transformer, lighting ballasts, welder or induction furnace, Induction generators Wind mill generators and high intensity discharge lightings. 7
  • 8. CAUSES OF LOW POWER FACTOR A distorted current waveform can be the result of a rectifier variable speed drive, switched mode power supply, discharge lighting or other electronic load. 8
  • 9. POWER FACTOR CORRECTION Power factor decreases with the installation of non resistive loads such as induction motors, Transformers. Lighting ballasts and electronic equipments. Power factors can be corrected by using capacitors. These are rated in electrical units called VAR or KVAR.One VAR is equivalent to one volt of reactive power. VAR then are units of measurement for indicating just how much reactive power the capacitor will supply. 9
  • 10. As reactive power is usually measured in thousands the letter K is used for thousand. the capacitor KVAR rating then shows how much reactive power the capacitor will supply. Each unit of the capacitor's KVAR will decrease the inductive reactive power demand. 10
  • 11. POWER FACTOR CORRECTION Most loads on an electrical distribution system fall into one of three categories; resistive, inductive or capacitive. In most plant, the most common is likely to be inductive. Typical examples of this include transformers, fluorescent lighting and AC induction motors. Most inductive loads use a conductive coil winding to produce an electromagnetic field, allowing the motor to function. 11
  • 12. All inductive loads require two kinds of power to operate: Active power (KW) - to produce the motive force Reactive power (KVAR) - to energize the magnetic field The operating power from the distribution system is composed of both active (working) and reactive (non-working) elements. The active power does useful work in driving the motor whereas the reactive power only provides the magnetic field. 12
  • 13. POWER FACTOR CORRECTION The amount of Power Capacitor KVAR required to correct A system to a desired Power Factor level is the difference between the amount of KVAR in the uncorrected system and the amount of desired KVAR in the corrected system. The most efficient location for power factor capacitors is at the load. Capacitors work from the point of installation back to the generating source. Individual motor correction is not always practical, sometimes it is more practical to connect larger capacitors on the distribution bus or install an automatic system at the incoming service along with fixed capacitors at the load. 13
  • 14. KVAR CORRECTION Capacitive Power Factor correction (PFC) is applied to electric circuits as a means of minimising the inductive component of the current and thereby reducing the losses in the supply. The introduction of Power Factor Correction capacitors is a widely recognised method of reducing an electrical load, thus minimising wasted energy and hence improving the efficiency of a plant and reducing the electricity bill. 14
  • 15. It is not usually necessary to reach unity, i.e. Power Factor 1, since most supply companies are happy with a PF of 0.95 to 0.98. By installing suitably sized switched capacitors into the circuit, the Power Factor is improved and the value becomes nearer to 1 thus minimising wasted energy and improving the efficiency of a plant or power factor can be increased by synchronous motor or Synchronous generators. 15
  • 16. POWER FACTOR CORRECTION METHODS • Static Var Compensator(SVC) • Fixed Capcitors • Switch Capacitors • Synchronous Condensors • Static Synchronous Compensator(STATCOM) • Modulated power filter capacitor compensator 16
  • 17. STATIC VAR COMPENSATOR (SVC) The Static Var Compensator (SVC) is a shunt device of the Flexible AC Transmission Systems (FACTS) family using power electronics to control power flow and improve transient stability on power grids [1]. The SVC regulates voltage at its terminals by controlling the amount of reactive power injected into or absorbed from the power system. When system voltage is low, the SVC generates reactive power (SVC capacitive). When system voltage is high, it absorbs reactive power (SVC inductive). 17
  • 18. The variation of reactive power is performed by switching three-phase capacitor banks and inductor banks connected on the secondary side of a coupling transformer. Each capacitor bank is switched on and off by three thyristor switches (Thyristor Switched Capacitor or TSC). Reactors are either switched on-off (Thyristor Switched Reactor or TSR) or phase-controlled (Thyristor Controlled Reactor or TCR). 18
  • 19. A rapidly operating Static Var Compensator (SVC) can continuously provide the reactive power required to control dynamic voltage swings under various system conditions and thereby improve the power system transmission and distribution performance. Installing an SVC at one or more suitable points in the network will increase transfer capability through enhanced voltage stability, while maintaining a smooth voltage profile under different network conditions. In addition, an SVC can mitigate active power oscillations through voltage amplitude modulation 19
  • 20. FIXED CAPACITOR where the load does not change or where the capacitor is switched with the load, such as the load side of a Ideally suited for power factor correction in applications motor contactor. It is suitable for locations using induction motors, like food processing plants, or where small multiple loads require reactive power compensation. Each Fixed Capacitor Bank is designed for high reliability and long life. These products are designed for applications that do not contain harmonic generating 20
  • 21. SWITCHED CAPACITOR It is suited for centralized power factor correction in applications where plant loading is constantly changing, resulting in the need for varying amounts of reactive power. An advanced microprocessor- based reactive power controller measures plant power factor via a single remote current transformer (included), and switches capacitor modules in and out of service to maintain a user-selected target power factor. Typically applied at service entrance or near fluctuating loads. 21
  • 22. SYNCHRONOUS CONDENSER Synchronous condenser is a salient pole synchronous generator without prime mover. Synchronous condenser stabilizes power system voltage by supplying reactive power to the power system and Use for power factor correction. It is more economical than capacitors. 22
  • 24. STATIC SYNCHRONOUS COMPENSTOR (STATCOM) The Static Synchronous Compensator (STATCOM) is a shunt device of the Flexible AC Transmission Systems (FACTS) family using power electronics to control power flow and improve transient stability on power grids [1]. The STATCOM regulates voltage at its terminal by controlling the amount of reactive power injected into or absorbed from the power system. When system voltage is low, the STATCOM generates reactive power (STATCOM capacitive). 24
  • 25. When system voltage is high, it absorbs reactive power (STATCOM inductive).Similarly to the SVC the STATCOM can provide instantaneous and continuously variable reactive power in response to grid voltage transients enhancing the grid voltage stability 25
  • 26. Installing a STATCOM at one or more suitable points in the network will increase the grid transfer capability through enhanced voltage stability, while maintaining a smooth voltage profile under different network conditions. The STATCOM provides additional versatility in terms of power quality improvement capabilities 26
  • 27. DETERMINING CAPACITOR VALUE • Example • Power Factor1=74% • Actual Power=594 kw • Interested to boost up=97% ,Power Factor2=97% • Power Factor=KW/KVA • Cos = kW / kVA •  = Cos-1 (PF1) •  = Cos-1 (74%) =42.27 o 27
  • 28. • The reactive power was about: • Tan = kVAr / kW • kVAr = kW x tan • kVAr = 594 kW x tan (42.27) = 540 kVAr • If the power factor were increased to 97%, the reactive power would be about: • Cos = kW / kVA •  = Cos-1 (PF2) •  = Cos-1 (97%) = 14.07 o • kVAr = kW x tan • kVAr = 594 kW x tan (14.07) = 149 kVAr 28
  • 29. • Thus, the amount of capacitance required to boost power factor from 74% to 97% : • 540 kVAr – 149 kVAr = 391 kVAr • So I recommended 400kvar 29
  • 30. POWER CAPACITORS POWER FACTOR CORRECTION ON SITE WITH POLE CAP 30
  • 31. POWER FACTOR MEASUREMENT Power factor can measure by using power factor meter which is well known in power industry. Power factor can also be calculated by installing watt meter along with the Ampere meter and volt meter by using the power factor basic formula. Power factor=Actual Power/ Apparent power 31
  • 33. ADVANTAGES OF POWER FACTOR CORRECTION • Eliminate Power Factor Penalties • Increase System Capacity • Reduce Line Losses in distribution systems • Conserve Energy • Improve voltage stability • Less total plant KVA for the same KW working power • Improved voltage regulation due to reduced line voltage drop • Reduction in size of transformers, cables and switchgear in new installations 33
  • 34. • Increase equipment life • Save on utility cost • Enhance equipment operation by improving voltage • Improve energy efficiency 34
  • 35. • Reduction in size of transformers, cables and switchgear in new installations. • Delay costly upgrades. • Less total plant KVA for the same KW working power. • Improved voltage regulation due to reduced line voltage drop. 35
  • 36. POWER COST REDUCTION Utility companies in many areas include a penalty charge in the electrical rate for low power factor. The installation of power factor capacitors on the user's electrical distribution system eliminates the necessity of paying premium rates to the utility company for poor power factor. 36
  • 37. The savings the utility company derives in reduced generation, transmission and distribution costs are passed on to the user in the form of lower electrical charges. Three of the more common ways a utility charges a user for poor power factor are based on 37
  • 38. • KW demand with a trigger point typically between 85% and 95% • KVA demand • KVAR demand • When the utility uses either KVA demand or KVAR demand as the basis for its penalty structure, all users pay a penalty, but those with high power factor pay a much lower penalty or none at all. 38
  • 39. SYSTEM CAPACITY INCREASE By adding capacitors to the system, the power factor is improved and the KW capacity of the system is increased. For example, a 1,000 KVA transformer with a 70% power factor provides 700 KW of power to the main bus. With the installation of capacitors so that the power factor is improved, say, to 90%, the KW capacity of the system is increased to 900 KW. When a system power factor is improved, the amount of reactive current flowing Is lowered thus reducing transformer and distribution circuit loads, and releasing system capacity. 39
  • 40. VOLTAGE IMPROVEMENT AND POWER LOSS REDUCTION System losses are also reduced through power factor correction by reducing the total current and power in the system. A 20% reduction in current will yield a 36% reduction in distribution system losses. In this situation, an energy savings of as much as 50% will be realized with the installation of power factor capacitors. In addition, power factor capacitors decrease the distribution system voltage drops and fluctuations. 40
  • 41. DISADVANTAGES OF LOW POWER FACTOR • Increases heating losses in the transformers and distribution equipments. • Reduce plant life. • Unstabilise voltage levels. • Increase power losses. • Upgrade costly equipments. • Decrease energy efficiency. • Increase electricity costs by paying power factor surcharges. 41
  • 42. CONCLUSION By observing all aspects of the power factor it is clear that power factor is the most significant part for the utility Company as well as for the consumer. Utility company rid of from the power losses while the consumer free from low power factor penalty charges. By installing suitably sized power capacitors into the circuit the Power Factor is improved and the value becomes nearer to 1 thus minimising line losses and improving the efficiency of a plant. 42
  • 43. REFERENCES • Electrical Power System Design and Analysis by M.E.EI-Hawary. • Power System Operations by Robert H Miller. • IEEE papers • www.ABB.com • BC Hydro (www.bchydro.ca) 43