Evaluation of Switching Over Voltages on High Voltage Circuit - ijcee
Evaluation of Switching Over Voltages on High Voltage Circuit - ijcee
Evaluation of Switching Over Voltages on High Voltage Circuit - ijcee
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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