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Evaluation of Switching Over Voltages on High Voltage Circuit - ijcee

Evaluation of Switching Over Voltages on High Voltage Circuit - ijcee

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y<br />

Internati<strong>on</strong>al Journal <str<strong>on</strong>g>of</str<strong>on</strong>g> Computer and Electrical Engineering, Vol.4, No.2, April 2012<br />

c<strong>on</strong>sidered and analyzed in [4]. These scenarios include<br />

different states <str<strong>on</strong>g>of</str<strong>on</strong>g> switching c<strong>on</strong>diti<strong>on</strong>s like existence or<br />

absence <str<strong>on</strong>g>of</str<strong>on</strong>g> short-circuit, re-closing, re-opening, no load<br />

transformer and etc. In this paper <strong>on</strong>ly five scenarios are<br />

presented. These are the main cases and other eight c<strong>on</strong>diti<strong>on</strong>s<br />

are split from these five.<br />

A. Theory <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>Switching</str<strong>on</strong>g> <str<strong>on</strong>g>Over</str<strong>on</strong>g>-<str<strong>on</strong>g><strong>Voltage</strong>s</str<strong>on</strong>g><br />

The main factor that causes the switching abnormal over<br />

voltage is release <str<strong>on</strong>g>of</str<strong>on</strong>g> trapped magnetic energy. It is supposed<br />

that at the time the current chopping occurs the instantaneous<br />

current is I0. It flows in the transformer winding and is<br />

associated with a certain amount <str<strong>on</strong>g>of</str<strong>on</strong>g> magnetic energy (Eq. 1)<br />

[2].<br />

1 2<br />

Energy L I<br />

(1)<br />

m 0<br />

2<br />

where, L m is magnetizing inductance.<br />

Because <str<strong>on</strong>g>of</str<strong>on</strong>g> value <str<strong>on</strong>g>of</str<strong>on</strong>g> L m is very large, the current cannot<br />

cease suddenly in such an inductive circuit [2]. The current is<br />

diverted into the capacitance <str<strong>on</strong>g>of</str<strong>on</strong>g> the transformer winding and<br />

capacitance <str<strong>on</strong>g>of</str<strong>on</strong>g> the c<strong>on</strong>necti<strong>on</strong> between switch and<br />

transformer. The energy from the magnetic field <str<strong>on</strong>g>of</str<strong>on</strong>g> the<br />

transformer is transferred to the electric field <str<strong>on</strong>g>of</str<strong>on</strong>g> the<br />

capacitance.<br />

The peak voltage reached across the capacitor and<br />

therefore across the winding, is given by (2).<br />

V p<br />

I 0<br />

Z 0<br />

(2)<br />

where, Z 0 is the system surge impedance and can be calculated<br />

using (3), and V p is the over voltage peak value.<br />

Z<br />

0<br />

<br />

Lm<br />

C<br />

where, C is the effective capacitance. The effective<br />

capacitance will vary depending <strong>on</strong> the type <str<strong>on</strong>g>of</str<strong>on</strong>g> winding and<br />

the insulati<strong>on</strong>.<br />

It can be c<strong>on</strong>cluded from (2) and (3) that the transient<br />

voltage is independent <str<strong>on</strong>g>of</str<strong>on</strong>g> the system voltage. In fact, the<br />

over-voltage value would not reach nearly as high as the value<br />

obtained from the (2). Losses are <strong>on</strong>e reas<strong>on</strong> causing the<br />

damping, but more important reas<strong>on</strong> is that <strong>on</strong>ly a fracti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

the energy trapped in the core at the time <str<strong>on</strong>g>of</str<strong>on</strong>g> chop is released<br />

[2] (Fig. 4).<br />

Fig. 4. Energy released by a transformer core when the magnetizing current<br />

is chopped<br />

Practically in the worst case, chopping current at the peak,<br />

the chopping voltage will not exceed 55% <str<strong>on</strong>g>of</str<strong>on</strong>g> what calculated<br />

(3)<br />

before. Based <strong>on</strong> this fact, switching voltage can be obtained<br />

from (4) [2].<br />

v<br />

( s)<br />

<br />

s<br />

2<br />

sV(0)<br />

s 1<br />

<br />

RC L C<br />

<br />

C [<br />

s<br />

2<br />

m<br />

V(0)<br />

<br />

RC<br />

s<br />

I0<br />

s 1<br />

]<br />

RC L C<br />

B. Simulati<strong>on</strong> and Results<br />

m<br />

2<br />

1<br />

s 1<br />

<br />

RC L C<br />

In this secti<strong>on</strong> five scenarios that lead to switching<br />

over-voltage are presented. It should be c<strong>on</strong>sidered that <strong>on</strong>ly<br />

the worst phase will be presented in each case. According to<br />

simulati<strong>on</strong> the worst cases are happened for middle circuit<br />

breaker in each “1 ½ breaker” switchgear bay.<br />

Case.1: Simulati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>Switching</str<strong>on</strong>g> <str<strong>on</strong>g>of</str<strong>on</strong>g> C.B., During Normal<br />

Operati<strong>on</strong>:<br />

In the first scenario system is in a stable operating<br />

c<strong>on</strong>diti<strong>on</strong>. Before starting the simulati<strong>on</strong> these c<strong>on</strong>diti<strong>on</strong>s are<br />

applied to the system: 400kV transmissi<strong>on</strong> line is c<strong>on</strong>nected<br />

to system. <strong>Circuit</strong>-breakers “=C01-QA1, =C02-QA1,<br />

=C01-QA2 and =C02-QA2” are closed and “=C01-QA3 and<br />

=C02-QA3” are opened. Tap <str<strong>on</strong>g>of</str<strong>on</strong>g> the transformers are<br />

regulated <strong>on</strong> 1.05. 132kV load outgoings are c<strong>on</strong>nected and<br />

Fajr power plant feeders are disc<strong>on</strong>nected from the system.<br />

In the moment <str<strong>on</strong>g>of</str<strong>on</strong>g> 1 sec<strong>on</strong>d =C01-QA3 is closed and after<br />

0.1 sec<strong>on</strong>ds reopened. Again after about 0.9 sec<strong>on</strong>ds, by<br />

closing C.B. –QA3 the system becomes stable again.<br />

According to Fig. 5, there is a little over-voltage in phase c.<br />

400<br />

300<br />

200<br />

100<br />

0<br />

-100<br />

-200<br />

-300<br />

-400<br />

Advanced Graph Frame<br />

CB VOLTAGE ACROSS POLES PH:C PEAK<br />

0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 ...<br />

...<br />

...<br />

Fig. 5. <strong>Voltage</strong> across CB c<strong>on</strong>tacts in case.1<br />

Case.2: Simulati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> switching <str<strong>on</strong>g>of</str<strong>on</strong>g> C.B., during<br />

short-circuit:<br />

In the sec<strong>on</strong>d scenario system is in a stable operating<br />

c<strong>on</strong>diti<strong>on</strong>. Before starting the simulati<strong>on</strong> these c<strong>on</strong>diti<strong>on</strong>s are<br />

applied to the system: 400kV transmissi<strong>on</strong> line is c<strong>on</strong>nected<br />

to system. <strong>Circuit</strong>-breakers “=C02-QA1, =C02-QA2,<br />

=C02-QA3 and =C03-QA3” are closed and “=C01-QA1 and<br />

=C01-QA2” are opened. Tap <str<strong>on</strong>g>of</str<strong>on</strong>g> the transformers are<br />

regulated <strong>on</strong> 1.05. 132kV outgoing feeders are c<strong>on</strong>nected and<br />

“Fajr II power plant” feeders also are c<strong>on</strong>nected to the system.<br />

Three phase short-circuit is occurred at the end <str<strong>on</strong>g>of</str<strong>on</strong>g> the<br />

Cable1. After 0.1 sec<strong>on</strong>ds =C01-QA3 and =E5-QA1 are<br />

tripped and opened. In the moment <str<strong>on</strong>g>of</str<strong>on</strong>g> 1.4 sec<strong>on</strong>ds fault is<br />

cleared. Again after about 0.6 sec<strong>on</strong>ds, the system becomes<br />

stable again. According to Fig. 6, the maximum peak<br />

over-voltage that occurs is about 370kV phase to earth equal<br />

m<br />

(4)<br />

183

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