Implementation of capacitor banks: Difference between revisions

From Electrical Installation Guide
Home > Power Factor Correction > Implementation of capacitor banks
m (r2.7.2) (robot Adding: zh:补偿电容器组的实施)
(new content according to guide 2013)
Line 1: Line 1:
{{Menu_Power_factor_correction_and_harmonic_filtering}}
{{Menu_Power_Factor_Correction}}
== <br>Capacitor elements  ==


=== Technology ===
== Capacitor elements ==


The capacitors are dry-type units (i.e. are not impregnated by liquid dielectric) comprising metallized polypropylene self-healing film in the form of a two-film roll. They are protected by a high-quality system (overpressure disconnector used with a high breaking capacity fuse) which switches off the capacitor if an internal fault occurs.<br>The protection scheme operates as follows:
=== Technology ===


*A short-circuit through the dielectric will blow the fuse
Capacitors at low voltage are dry-type units (i.e. are not impregnated by liquid dielectric) comprising metallised polypropylene self-healing film in the form of a two-film roll.
*Current levels greater than normal, but insufficient to blow the fuse sometimes occur, e.g. due to a microscopic flow in the dielectric film. Such “faults” often re-seal due to local heating caused by the leakage current, i.e. the units are said to be “self-healing”
*If the leakage current persists, the defect may develop into a short-circuit, and the fuse will blow
*Gas produced by vaporizing of the metallisation at the faulty location will gradually build up a pressure within the plastic container, and will eventually operate a pressure-sensitive device to short-circuit the unit, thereby causing the fuse to blow


Capacitors are made of insulating material providing them with double insulation and avoiding the need for a ground connection (see '''Fig. L33''').<br>
Self-healing is a process by which the capacitor restores itself in the event of a fault in the dielectric which can happen during high overloads, voltage transients, etc.


----
When insulation breaks down, a short duration arc is formed ('''Figure L34''' - top). The intense heat generated by this arc causes the metallization in the vicinity of the arc to vaporise (Fig. L34 - middle).


'''a)<br>'''<br><br>[[Image:FigL33.jpg|left|FigL33.jpg]] <br><br><br><br><br><br>
Simultaneously it re-insulates the electrodes and maintains the operation and integrity of the capacitor (Fig. L34 - bottom).


<br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br>'''b)''' <br>


{| cellspacing="1" cellpadding="1" border="1" width="793" style="width: 793px; height: 259px;"
[[Image:Fig_L34.jpg|none]]
 
 
'''''Fig. L34 :''''' ''Illustration of self-healing phenomena''
 
 
=== Protection scheme ===
 
Capacitors must be associated with overload protection devices (fuses, or circuit breaker, or overload relay + contactor), in order to limit the consequences of overcurrents. This may occur in case of overvoltage or high harmonic distortion.
 
In addition to external protection devices, capacitors are protected by a high-quality system (Pressure Sensitive Disconnector, also called ‘tear-off fuse’) which switches off the capacitors if an internal fault occurs. This enables safe disconnection and
electrical isolation at the end of the life of the capacitor.
 
The protection system operates as follows:
 
* Current levels greater than normal, but insufficient to trigger the over-current protection sometimes occur, e.g. due to a microscopic flow in the dielectric film. Such “faults” often reseal due to local heating caused by the leakage current,
* If the leakage current persists, the defect may produce gas by vaporizing of the metallisation at the faulty location. This will gradually build up a pressure within the container. Pressure can only lead to vertical expansion by bending lid outwards. Connecting wires break at intended spots. Capacitor is disconnected irreversibly.
 
 
[[Image:Fig_L35.jpg|none]]
 
 
'''''Fig. L35 :''''' ''Cross-section view of a three-phase capacitor after Pressure Sensitive Device
operated: bended lid and disconnected wires''
 
 
Main electrical characteristics, according to IEC standard 60831-1/2: "Shunt power capacitors of the self-healing type for a.c. systems having a rated voltage up to and including 1000 V".
 
{| style="width: 769px; height: 107px" border="1" cellspacing="1" cellpadding="1" width="769"
|-
|-
| bgcolor="#0099cc" colspan="4" | '''Electrical characteristics'''
| bgcolor="#0099cc" colspan="2"| '''Electrical characteristics'''
|-
|-
| valign="top" colspan="2" | Standard&nbsp;
| Capacitance tolerance
| colspan="2" | IEC 60831-1 &amp; 60831-2NFC 54-104, VDE 0560 CSA <br>Standards, UL tests
| –5 % to +10 % for units and banks up to 100 kvar <br> –5 % to +5 % for units and banks above 100 kvar
|-
|-
| valign="top" rowspan="2" | Operating range  
| Temperature range  
| Rated voltage
| Min: from -50 to +5°C <br> Max: from +40 to +55°C
| colspan="2" | 400 V
|-
|-
| Rated frequency
| Permissible current overload
| colspan="2" | 50 Hz
| 1.3 x I<sub>N </sub>
|-
|-
| valign="top" colspan="2" | Capacitance tolerance
| Permissible voltage overload
| colspan="2" | - 5% to + 10%
| 1.1 x U<sub>N </sub>, 8 h every 24 h <br>
1.15 x U<sub>N </sub>, 30 min every 24 h <br>
1.2 x U<sub>N </sub>, 5min <br>
1.3 x U<sub>N </sub>, 1min <br>
2.15 x U<sub>N </sub> for 10 s (type test)
|-
|-
| valign="top" rowspan="4" | Temperature range (up to 65 kvar)  
| Discharging unit
| Maximum temperature
| to 75 V in 3 min or less
| colspan="2" | 55 °C
|}
 
 
'''''Fig. L36 :''''' ''Main characteristics of capacitors according to IEC 60831-1/2''
 
 
== Choice of protection, control devices and connecting cables  ==
 
The choice of upstream cables, protection and control devices depends on the current loading.
 
For capacitors, the current is a function of:
 
* The system voltage (fundamental and harmonics),
* The power rating.
 
The rated current I<sub>N</sub> of a 3-phase capacitor bank is equal to:
 
<math> I_N = \frac{Q}{\sqrt{3}. U}</math>
 
with:
 
* Q: power rating (kvar)
* U: phase-to-phase voltage (kV)
 
Overload protection devices have to be implemented and set according to the expected harmonic distortion. The following table summarizes the harmonic voltages to be considered in the different configurations, and the corresponding maximum overload factor I<sub>MP</sub>/I<sub>N</sub>. (I<sub>MP</sub> = maximum permissible current)
 
{| style="width: 650px; height: 107px" border="1" cellspacing="1" cellpadding="1" width="650"
|-
|bgcolor="#0099cc" rowspan = "2" |'''Configuration'''
|bgcolor="#0099cc" colspan = "5" |'''Harmonic order'''
|bgcolor="#0099cc" rowspan = "2" |'''THDu max (%)'''
|bgcolor="#0099cc" rowspan = "2" |'''I<sub>MP</sub>/I<sub>N</sub>'''
|-
|-
| Average temperature over 24 h
|bgcolor="#0099cc" |'''3'''
| colspan="2" | 45 °C
|bgcolor="#0099cc" |'''5'''
|bgcolor="#0099cc" |'''7'''
|bgcolor="#0099cc" |'''11'''
|bgcolor="#0099cc" |'''13'''
|-
|-
| Average annual temperature
|Standard capacitors
| colspan="2" | 35 °C
| &nbsp;
| &nbsp;
| &nbsp;
| &nbsp;
| &nbsp;
|5
|1.5
|-
|-
| Minimum temperature
|Heavy Duty capacitors
| colspan="2" | - 25 °C
|&nbsp;
|&nbsp;
|&nbsp;
|&nbsp;
|&nbsp;
|7
|1.8
|-
|-
| valign="top" colspan="2" | Insulation level
|Capacitors + 5.7% reactor
| colspan="2" | 50 Hz 1 min withstand voltage&nbsp;: 6 kV<br>1.2/50 μs impulse withstand voltage&nbsp;: 25 kV
|0.5
|5
|4
|3.5
|3
|10
|1.31
|-
|-
| valign="top" rowspan="2" colspan="2" | Permissible current overload
|Capacitors + 7% reactor
| Classic range<sup>(1)</sup>
|0.5
| Comfort range<sup>(1)</sup>
|6
|4
|3.5
|3
|8
|1.19
|-
|-
| 30%  
|Capacitors + 14% reactor
| 50%
|3
|8
|7
|3.5
|3
|6
|1.12
|-
|-
| colspan="2" | Permissible voltage overload
| 10%
| 20%
|}
|}


'''''Fig. L33:'''''<i>&nbsp;Capacitor element, '''(a) '''cross-section, '''(b)''' electrical characteristics</i>


----
'''''Fig. L37 :''''' ''Typical permissible overload currents''


== <br>Choice of protection, control devices and connecting cables<br> ==


The choice of upstream cables and protection and control devices depends on the current loading.<br>For capacitors, the current is a function of:
Short time delay setting of circuit breakers (short-circuit protection) should be set at 10 x I<sub>N</sub> in order to be insensitive to inrush current.


*The applied voltage and its harmonics
'''Example 1:'''
*The capacitance value


The nominal current In of a 3-phase capacitor bank is equal to:<br><math>In=\frac{Q}{Un\sqrt3}</math>&nbsp; with:<br>&nbsp; <br>&nbsp; - Q: kvar rating<br>&nbsp; -&nbsp;Un: Phase-to-phase voltage (kV)<br>The permitted range of applied voltage at fundamental frequency, plus harmonic components, together with manufacturing tolerances of actual capacitance (for a declared nominal value) can result in a 50% increase above the calculated value of current. Approximately 30% of this increase is due to the voltage increases, while a further 15% is due to the range of manufacturing tolerances, so that <br>1.3 x 1.15 = 1.5<br>All components carrying the capacitor current therefore, must be adequate to cover this “worst-case” condition, in an ambient temperature of 50 °C maximum. In the case where temperatures higher than 50 °C occur in enclosures, etc. derating of the components will be necessary.
50 kvar – 400V – 50 Hz – Standard capacitors


=== Protection  ===
<math> I_N = \frac{50}{\sqrt {3}\times 0.4} = 72A </math>


The size of the circuit-breaker can be chosen in order to allow the setting of long time delay at:  
Long time delay setting: 1.5 x 72 = 108 A
Short time delay setting: 10 x 72 = 720 A


*1.36 x In for Classic range<sup>(1)</sup>
'''Example 2:'''
*1.50 x In for Comfort range<sup>(1)</sup>
*1.12 x In for Harmony range<sup>(1)</sup> (tuned at 2.7 f) <sup>(2)</sup>
*1.19 x In for Harmony range<sup>(1)</sup> (tuned at 3.8 f)
*1.31 x In for Harmony range<sup>(1)</sup> (tuned at 4.3 f)


Short time delay setting (short-circuit protection) must be insensitive to inrush current. The setting will be 10 x In for Classic, Comfort and Harmony range<sup>(1)</sup> .  
50 kvar – 400V – 50 Hz – Capacitors + 5.7% detuned reactor


{| style="width: 792px; height: 25px" cellspacing="1" cellpadding="1" width="792" border="1"
I<sub>N</sub> = 72A
|-
| (1) Merlin-Gerin designation<br>(2) Harmony capacitor banks are equipped with a harmonic suppression reactor.
|}


'''Example 1&nbsp;'''<br>50 kvar – 400V – 50 Hz – Classic range<br>
Long time delay setting: 1.31 x 72 = 94 A
Short time delay setting: 10 x I<sub>N</sub> = 720 A


<math>In=\frac{50,000}{\left (400 \times 1.732 \right)} = 72A</math><br>Long time delay setting: 1.36 x 72 = 98 A<br>Short time delay setting: 10 x In = 720 A
'''Upstream cables'''


'''Example 2&nbsp;<br>'''50 kvar – 400V – 50 Hz – Harmony range (tuned at 4.3 f)<br>In = 72 A<br>Long time delay setting: 1.31 x 72 = 94 A<br>Short time delay setting: 10 x In = 720 A
'''Figure L38''' gives the minimum recommended cross section area of the upstream cable for capacitor banks.


=== Upstream cables  ===
'''Cables for control'''


'''Figure L34 '''gives the minimum cross section area of the upstream cable for Rectiphase capacitors.  
The minimum cross section area of these cables will be 1.5 mm<sup>2</sup> for 230 V. For the secondary side of the current transformer, the recommended cross section area is ≥ 2.5 mm<sup>2</sup>.


=== Cables for control  ===
{| style="width: 769px; height: 107px" border="1" cellspacing="1" cellpadding="1" width="769"
 
The minimum cross section area of these cables will be 1.5 mm<sup>2</sup> for 230 V.<br>For the secondary side of the transformer, the recommended cross section area is ≥ 2.5 mm<sup>2</sup>.<br>
 
----
 
<br>
 
{| style="width: 656px; height: 624px" cellspacing="1" cellpadding="1" width="656" border="1"
|-
|-
| bgcolor="#0099cc" colspan="2" | '''Bank power (kvar)'''  
| bgcolor="#0099cc" colspan = "2"| '''Bank power (kvar)'''
| valign="top" bgcolor="#0099cc" rowspan="2" | '''Copper cross- section (mm<sup>2</sup>)'''  
| bgcolor="#0099cc" | '''Copper cross- section '''
| valign="top" bgcolor="#0099cc" rowspan="2" | '''Aluminium cross- section (mm<sup>2</sup>)'''
| bgcolor="#0099cc" | '''Aluminium cross- section'''
|-
|-
| bgcolor="#0099cc" | '''230 V'''  
|'''230 V'''
| bgcolor="#0099cc" | '''400 V'''
|'''400 V'''
| '''(mm<sup>2</sup>)'''
| '''(mm<sup>2</sup>)'''
|-
|-
| 5  
|5
| 10  
|10
| 2.5  
|2.5
| 16
|16
|-
|-
| 10  
|10
| 20  
|20
| 4  
|4
| 16
|16
|-
|-
| 15  
|15
| 30  
|30
| 6  
|6
| 16
|16
|-
|-
| 20  
|20
| 40  
|40
| 10  
|10
| 16
|16
|-
|-
| 25  
|25
| 50  
|50
| 16  
|16
| 25
|25
|-
|-
| 30  
|30
| 60  
|60
| 25  
|25
| 35
|35
|-
|-
| 40  
|40
| 80  
|80
| 35  
|35
| 50
|50
|-
|-
| 50  
|50
| 100  
|100
| 50  
|50
| 70
|70
|-
|-
| 60  
|60
| 120  
|120
| 70  
|70
| 95
|95
|-
|-
| 70  
|70
| 140  
|140
| 95  
|95
| 120
|120
|-
|-
| valign="top" rowspan="2" | 90-100  
|rowspan = "2"|90-100
| 180  
|180
| 120  
|120
| 185
|185
|-
|-
| 200  
|200
| 150  
|150
| 240
|240
|-
|-
| 120  
|120
| 240  
|240
| 185  
|185
| 2 x 95
|2x95
|-
|-
| valign="top" rowspan="2" | 150  
|rowspan = "2"|150
| 250  
|250
| 240  
|240
| 2 x 120
|2x120
|-
|-
| 300  
|300
| 2 x 95
|2x95
| 2 x 150
|2x150
|-
|-
| 180-210  
|180-210
| 360  
|360
| 2 x 120
|2x120
| 2 x 185
|2x185
|-
|-
| 245  
|245
| 420  
|420
| 2 x 150
|2x150
| 2 x 240
|2x240
|-
|-
| 280  
|280
| 480  
|480
| 2 x 185
|2x185
| 2 x 300
|2x300
|-
|-
| 315  
|315
| 540  
|540
| 2 x 240
|2x240
| 3 x 185
|3x185
|-
|-
| 350  
|350
| 600  
|600
| 2 x 300
|2x300
| 3 x 240
|3x240
|-
|-
| 385  
|385
| 660  
|660
| 3 x 150
|3x150
| 3 x 240
|3x240
|-
|-
| 420  
|420
| 720  
|720
| 3 x 185
|3x185
| 3 x 300
|3x300
|}
|}


'''''Fig L34:'''''<i>&nbsp;Cross-section of cables connecting medium and high power capacitor banks</i><sup>''(1)''</sup>


----
'''''Fig L38 :''''' ''Cross-section of cables connecting medium and high power capacitor banks'' <ref name="cross-section " />
 
 
=== Voltage transients ===
 
High-frequency voltage and current transients occur when switching a capacitor bank into service. The maximum voltage peak does not exceed (in the absence of harmonics) twice the peak value of the rated voltage when switching uncharged capacitors.
 
In the case of a capacitor being already charged at the instant of switch closure, however, the voltage transient can reach a maximum value approaching 3 times the normal rated peak value.


<br>
This maximum condition occurs only if:
* The existing voltage at the capacitor is equal to the peak value of rated voltage, and
* The switch contacts close at the instant of peak supply voltage, and
* The polarity of the power-supply voltage is opposite to that of the charged capacitor


{| style="width: 796px; height: 18px" cellspacing="1" cellpadding="1" width="796" border="1"
In such a situation, the current transient will be at its maximum possible value, viz: Twice that of its maximum when closing on to an initially uncharged capacitor, as previously noted.
|-
 
| (1) Minimum cross-section not allowing for any correction factors (installation mode, temperature, etc.). The calculations were made for single-pole cables laid in open air at 30 °C.
For any other values of voltage and polarity on the pre-charged capacitor, the transient peaks of voltage and current will be less than those mentioned above. In the particular case of peak rated voltage on the capacitor having the same polarity as that of the supply voltage, and closing the switch at the instant of supply-voltage peak, there would be no voltage or current transients.
|}
 
Where automatic switching of stepped banks of capacitors is considered, therefore, care must be taken to ensure that a section of capacitors about to be energized is fully discharged.


=== <br>Voltage transients  ===
The discharge delay time may be shortened, if necessary, by using discharge resistors of a lower resistance value.


High-frequency voltage and current transients occur when switching a capacitor bank into service. The maximum voltage peak does not exceed (in the absence of harmonics) twice the peak value of the rated voltage when switching uncharged capacitors.<br>In the case of a capacitor being already charged at the instant of switch closure, however, the voltage transient can reach a maximum value approaching 3 times the normal rated peak value.<br>This maximum condition occurs only if:


*The existing voltage at the capacitor is equal to the peak value of rated voltage, and
== References ==
*The switch contacts close at the instant of peak supply voltage, and
<references>
*The polarity of the power-supply voltage is opposite to that of the charged capacitor
<ref name="cross-section">Minimum cross-section not allowing for any correction factors (installation mode, temperature, etc.). The calculations were made for single-pole cables laid in open air at 30°C.</ref>
</references>


In such a situation, the current transient will be at its maximum possible value, viz: Twice that of its maximum when closing on to an initially uncharged capacitor, as previously noted.<br>For any other values of voltage and polarity on the pre-charged capacitor, the transient peaks of voltage and current will be less than those mentioned above. <br>In the particular case of peak rated voltage on the capacitor having the same polarity as that of the supply voltage, and closing the switch at the instant of supply-voltage peak, there would be no voltage or current transients.<br>Where automatic switching of stepped banks of capacitors is considered, therefore, care must be taken to ensure that a section of capacitors about to be energized is fully discharged.<br>The discharge delay time may be shortened, if necessary, by using discharge resistors of a lower resistance value.


[[ru:Конденсаторные батареи]]
[[ru:Конденсаторные батареи]]
[[zh:补偿电容器组的实施]]
[[zh:补偿电容器组的实施]]

Revision as of 17:31, 23 August 2013


Capacitor elements

Technology

Capacitors at low voltage are dry-type units (i.e. are not impregnated by liquid dielectric) comprising metallised polypropylene self-healing film in the form of a two-film roll.

Self-healing is a process by which the capacitor restores itself in the event of a fault in the dielectric which can happen during high overloads, voltage transients, etc.

When insulation breaks down, a short duration arc is formed (Figure L34 - top). The intense heat generated by this arc causes the metallization in the vicinity of the arc to vaporise (Fig. L34 - middle).

Simultaneously it re-insulates the electrodes and maintains the operation and integrity of the capacitor (Fig. L34 - bottom).


Fig L34.jpg


Fig. L34 : Illustration of self-healing phenomena


Protection scheme

Capacitors must be associated with overload protection devices (fuses, or circuit breaker, or overload relay + contactor), in order to limit the consequences of overcurrents. This may occur in case of overvoltage or high harmonic distortion.

In addition to external protection devices, capacitors are protected by a high-quality system (Pressure Sensitive Disconnector, also called ‘tear-off fuse’) which switches off the capacitors if an internal fault occurs. This enables safe disconnection and electrical isolation at the end of the life of the capacitor.

The protection system operates as follows:

  • Current levels greater than normal, but insufficient to trigger the over-current protection sometimes occur, e.g. due to a microscopic flow in the dielectric film. Such “faults” often reseal due to local heating caused by the leakage current,
  • If the leakage current persists, the defect may produce gas by vaporizing of the metallisation at the faulty location. This will gradually build up a pressure within the container. Pressure can only lead to vertical expansion by bending lid outwards. Connecting wires break at intended spots. Capacitor is disconnected irreversibly.


Fig L35.jpg


Fig. L35 : Cross-section view of a three-phase capacitor after Pressure Sensitive Device operated: bended lid and disconnected wires


Main electrical characteristics, according to IEC standard 60831-1/2: "Shunt power capacitors of the self-healing type for a.c. systems having a rated voltage up to and including 1000 V".

Electrical characteristics
Capacitance tolerance –5 % to +10 % for units and banks up to 100 kvar
–5 % to +5 % for units and banks above 100 kvar
Temperature range Min: from -50 to +5°C
Max: from +40 to +55°C
Permissible current overload 1.3 x IN
Permissible voltage overload 1.1 x UN , 8 h every 24 h

1.15 x UN , 30 min every 24 h
1.2 x UN , 5min
1.3 x UN , 1min
2.15 x UN for 10 s (type test)

Discharging unit to 75 V in 3 min or less


Fig. L36 : Main characteristics of capacitors according to IEC 60831-1/2


Choice of protection, control devices and connecting cables

The choice of upstream cables, protection and control devices depends on the current loading.

For capacitors, the current is a function of:

  • The system voltage (fundamental and harmonics),
  • The power rating.

The rated current IN of a 3-phase capacitor bank is equal to:

[math]\displaystyle{ I_N = \frac{Q}{\sqrt{3}. U} }[/math]

with:

  • Q: power rating (kvar)
  • U: phase-to-phase voltage (kV)

Overload protection devices have to be implemented and set according to the expected harmonic distortion. The following table summarizes the harmonic voltages to be considered in the different configurations, and the corresponding maximum overload factor IMP/IN. (IMP = maximum permissible current)

Configuration Harmonic order THDu max (%) IMP/IN
3 5 7 11 13
Standard capacitors           5 1.5
Heavy Duty capacitors           7 1.8
Capacitors + 5.7% reactor 0.5 5 4 3.5 3 10 1.31
Capacitors + 7% reactor 0.5 6 4 3.5 3 8 1.19
Capacitors + 14% reactor 3 8 7 3.5 3 6 1.12


Fig. L37 : Typical permissible overload currents


Short time delay setting of circuit breakers (short-circuit protection) should be set at 10 x IN in order to be insensitive to inrush current.

Example 1:

50 kvar – 400V – 50 Hz – Standard capacitors

[math]\displaystyle{ I_N = \frac{50}{\sqrt {3}\times 0.4} = 72A }[/math]

Long time delay setting: 1.5 x 72 = 108 A Short time delay setting: 10 x 72 = 720 A

Example 2:

50 kvar – 400V – 50 Hz – Capacitors + 5.7% detuned reactor

IN = 72A

Long time delay setting: 1.31 x 72 = 94 A Short time delay setting: 10 x IN = 720 A

Upstream cables

Figure L38 gives the minimum recommended cross section area of the upstream cable for capacitor banks.

Cables for control

The minimum cross section area of these cables will be 1.5 mm2 for 230 V. For the secondary side of the current transformer, the recommended cross section area is ≥ 2.5 mm2.

Bank power (kvar) Copper cross- section Aluminium cross- section
230 V 400 V (mm2) (mm2)
5 10 2.5 16
10 20 4 16
15 30 6 16
20 40 10 16
25 50 16 25
30 60 25 35
40 80 35 50
50 100 50 70
60 120 70 95
70 140 95 120
90-100 180 120 185
200 150 240
120 240 185 2x95
150 250 240 2x120
300 2x95 2x150
180-210 360 2x120 2x185
245 420 2x150 2x240
280 480 2x185 2x300
315 540 2x240 3x185
350 600 2x300 3x240
385 660 3x150 3x240
420 720 3x185 3x300


Fig L38 : Cross-section of cables connecting medium and high power capacitor banks [1]


Voltage transients

High-frequency voltage and current transients occur when switching a capacitor bank into service. The maximum voltage peak does not exceed (in the absence of harmonics) twice the peak value of the rated voltage when switching uncharged capacitors.

In the case of a capacitor being already charged at the instant of switch closure, however, the voltage transient can reach a maximum value approaching 3 times the normal rated peak value.

This maximum condition occurs only if:

  • The existing voltage at the capacitor is equal to the peak value of rated voltage, and
  • The switch contacts close at the instant of peak supply voltage, and
  • The polarity of the power-supply voltage is opposite to that of the charged capacitor

In such a situation, the current transient will be at its maximum possible value, viz: Twice that of its maximum when closing on to an initially uncharged capacitor, as previously noted.

For any other values of voltage and polarity on the pre-charged capacitor, the transient peaks of voltage and current will be less than those mentioned above. In the particular case of peak rated voltage on the capacitor having the same polarity as that of the supply voltage, and closing the switch at the instant of supply-voltage peak, there would be no voltage or current transients.

Where automatic switching of stepped banks of capacitors is considered, therefore, care must be taken to ensure that a section of capacitors about to be energized is fully discharged.

The discharge delay time may be shortened, if necessary, by using discharge resistors of a lower resistance value.


References

  1. ^ Minimum cross-section not allowing for any correction factors (installation mode, temperature, etc.). The calculations were made for single-pole cables laid in open air at 30°C.


ru:Конденсаторные батареи zh:补偿电容器组的实施

Share