PFC Basics

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LV – PFC

Basics

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

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Real Power (kWh)

POWER

0

Power Factor Correction - Basics

π

V

Ip

2

π

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PhaseShift V and I

V

φ

I

0

Power Factor Correction - Basics

π

2

π

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Reactive Power (kVAr)

V

POWER

Iq

0

Power Factor Correction - Basics

π

2

π

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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

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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

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Principle of PFC

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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,...)

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Example of a PFC System

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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

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Types of PFC/PQS

Individual PFC

Group PFC

Centralized PFC

Mixed PFC

Dynamic PFC

De-tuned harmonic filter

Tuned harmonic filter

Active filter

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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

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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

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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

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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

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Methods of PFC: 4. Dynamic PFC

Voltage sags due to high inrush currents

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Methods of PFC: 4. Dynamic PFC

M M M

Power Factor Correction - Basics controller

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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)

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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

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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

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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

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