Shunt capacitor

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Shunt capacitor

The rating of a shunt capacitor can be given in µF (per phase) or in Mvar/kvar (three-phase). The button Appearance is used to switch between the two different input possibilities and to convert between them.

 

 

PARAMETERS

 

Capacitor

 

Parameter

Default

Unit

Description

Name

 

 

Name

Unom

1)

kV

Nominal voltage

Q

0

Mvar

Reactive power

C   2)

0

μF

Capacity

Profile

Default

 

Name of the capacitor power profile

 

1)   Unom of the node

2)   Converted from Q and vice versa

 

Connection

 

Parameter

Default

Unit

Description

Star point earthing

no

yes/no

Indicates whether the star point is earthed

Re

0

Ohm

Earthing resistance with earthed star point

Xe

0

Ohm

Earthing reactance with earthed star point

External node

 

 

Node with neutral earth connection

 

External node

Possibility to connect the neutral point of the shunt capacitor to the earthing electrode at another node.

 

Voltage control

 

Parameter

Default

Unit

Description

Voltage control on

off

on/off

Indicates whether the voltage control has been switched on or off

Uoff

0

kV

Voltage above which the capacitor switches off

Uon

0

kV

Voltage under which the capacitor switches on

 

Uon < Uoff

 

Reliability

 

Parameter

Default

Unit

Description

Failure frequency

0

per year

Mean number of occurrences that the capacitor fails (short circuit)

Repair duration

0

minutes

Mean duration of repair or replacement

Maintenance frequency

0

per year

Mean number of occurrences thet the capacitor is in maintenance

Maintenance duration

0

minutes

Mean duration of maintenance

Maint. cut-off duration

0

minutes

Mean duration of cancellation of maintenance in case of emergency

 

Harmonics

 

Parameter

Default

Unit

Description

Frequency

0

 

Harmonic filter frequency

Quality

0

 

Filter quality

 

 

MODELLING

 

Load flow and fault analysis

The shunt capacitor is modelled with three capacitors in Wye connection. The rating is given for one capacitor between phase and neutral. The reactive power is always the three-phase power.

 

For the load flow and the sequential fault analysis, a capacitor is represented as a load with:

 

 Pload = 0

and

 Qload = - Qcapacitor

or

 Qload = - Unom,capacitor2 × ω C

where:

Qload

constant X = 100 %

Qcapacitor

supplied reactive power at Unom of the shunt capacitor

Unom,capacitor

nominal phase to phase voltage of the shunt capacitor

ω

Angular frequency ( 2πf )

 

 

The capacitor is modelled as a constant negative impedance load. This means that the capacitor supplies the nominal reactive power at nominal voltage only. The supplied reactive power depends quadratically on the voltage.

 

IEC 60909

Capacitors are not taken into consideration in IEC 60909 calculations.

 

Harmonics

A shunt capacitor can be applied as a harmonic filter. The harmonic filter frequency and filter quality can be specified. The capacitor reactive power is specified on the first tab. The filter resistance and inductance are calculated from the filter input parameters.

 

The base for the filter parameters is the capacitor reactive power at rated frequency: Qc. The capacitor reactance at the rated frequency (50/60 Hz) is calculated as follows:

where hf is the quotient of the filter frequency and the system frequency.

The induction of the coil at the nominal frequency is calculated as follows:

The filter resistance R is determined from the filter quality factor q. Its value is usually between 20 and 30.

The filter admittance for a frequency with harmonic order h will be: