Capacitors and their function in Alternating Circuits

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Besoeker

Senior Member
Location
UK
I would state it as follows:

Both capacitors and inductors store energy during one part of the AC cycle and return it during another part of the AC cycle. It is simply sign convention that we call one sort of energy storage a 'source' of VARs and the other sort a 'consumer'; they are as similar as left and right hands.

For maximum efficiency, inductive and capacitive loading must be balanced.

Because numerous common loads (such as motors) are inductive and must be balanced out by a suitable capacitive supply, we consider the inductive loads to be consumers. But if some strange factory had a 'leading power factor', the power company would charge them to provide a suitable inductive balance.

-Jon

It is not desirable to have leading power factor. That can cause overvoltage.
 

Besoeker

Senior Member
Location
UK
Even without leading power factor, it is possible to have overvoltage. It is due to series resonance between capacitor and system inductance.
The supply would have to be rather soft for that to happen. But I'm sure you know that.
 

gar

Senior Member
Location
Ann Arbor, Michigan
Occupation
EE
171024-1951 EDT

Soft means a higher impedance, more toward a current source. A stiff source means a source where the the voltage source has a very low internal impedance, and thus the instantaneous voltage deviates very little relative to its unloaded value.

.
 

gar

Senior Member
Location
Ann Arbor, Michigan
Occupation
EE
171024-2432 EDT

Assume an ideal voltage source, zero internal impedance.

Connect any finite inductor to that source. The source voltage will remain unchanged, as will the inductor voltage.

Separately connect any finite capacitor to that source, and the source voltage will remain unchanged, as will the capacitor voltage.

Next connect any combination of finite capacitance and finite inductance to said source, whether the combination is at resonance or not, and the source voltage will remain constant.

Next put internal impedance in the voltage source. Now it is possible to get an increased voltage at the output terminals of the non-ideal voltage source.

.
 

Sahib

Senior Member
Location
India
Bes:
Supply need not be soft for series resonance such as ferroresonance and associated overvoltage to happen.
 

Besoeker

Senior Member
Location
UK
171024-2432 EDT

Assume an ideal voltage source, zero internal impedance.

Connect any finite inductor to that source. The source voltage will remain unchanged, as will the inductor voltage.

Separately connect any finite capacitor to that source, and the source voltage will remain unchanged, as will the capacitor voltage.

Next connect any combination of finite capacitance and finite inductance to said source, whether the combination is at resonance or not, and the source voltage will remain constant.

Next put internal impedance in the voltage source. Now it is possible to get an increased voltage at the output terminals of the non-ideal voltage source.

.
Spot on.
 

Sahib

Senior Member
Location
India
OK. Got examples?

Let me state principle involved. The transformer inductive reactance Xl can combine with line capacitive reactance Xc ( such as due to series capacitor in the line ) to form a series circuit across the supply of voltage E. Then voltage across transforms Et=E/[1-(Xc/Xl)]. If Xc/Xl=0.8, Et=5E ie over voltage at the transformer.
 

Ingenieur

Senior Member
Location
Earth
Let me state principle involved. The transformer inductive reactance Xl can combine with line capacitive reactance Xc ( such as due to series capacitor in the line ) to form a series circuit across the supply of voltage E. Then voltage across transforms Et=E/[1-(Xc/Xl)]. If Xc/Xl=0.8, Et=5E ie over voltage at the transformer.


Extremely common
voltage rise due to Xc shunt (Pi config) is a major factor in line design
in reality it is on the order of 10% or so
mitigated with shunt Xl, series Xc, tap adjusting v regulators, and lately FACTS

https://www.google.com/amp/s/electricalnotes.wordpress.com/2011/03/26/ferranti-effect/amp/
 
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Sahib

Senior Member
Location
India
I understand the principle. That wasn't my question.
If you can cite no actual examples, that's fine.
Can we leave it at that please?

The supply source with series capacitor in post#54 is very stiff. Despite it, it was shown five times supply voltage can be impressed upon transformer even when the circuit is inductive. An example for this is an unloaded transformer connected to transmission line with series capacitor.
 
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