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Ground resistivity of the of multipolar ground (even the natural ground) to the neutral wire of the OPL in the year must not be higher than 5or 10, corresponding to the line voltage is 660V or 380V (phase voltage is 380V or 220V single-phase power supply in case).

For devices with isolated neutral, resistance of ground electrical equipment must not be larger than 4 .

Chapter 6-7 Calculation of Earth Fault Current

Article 569. Calculation of Earth Fault Currents

Determination of maximum earth fault current

To calculate ground resistance at a substation, earth fault current which flow through the grounding

system at the substation shall be determined.

 

1.

The earth fault current which flows on the transmission line connected

to the substation is

 

calculated based on configuration of the power gird.

 

2.

According to estimated impedances of transformers, neutral point, transmission lines, grounding

 

wires, etc., the earth fault current which flows into the grounding system of

the substation is

 

calculated based on the aforesaid earth fault current.

 

1. Earth fault current at power gird with directly grounded neutral point.

The bigger one among the calculated current in the following two cases is selected as the earth fault current which flows into the grounding system of thesubstation in the power girdwith directly grounded neutral point.

(1) Case of earth fault outside the substation

Earth fault current which flows into the grounding system in thesubstation consists of the earth fault current which flows through the earth and the earth fault current which flows into the substation from grounding wire of the transmission line connected to the substation. (Refer toigureF 573-1). Both earth fault currents flow to the power gird through the neutral point of the transformer.

Maximum earth fault current which flows through the grounding system is calculated by the

following equation. IE = (1-η ) IN

Where

IE: Maximum earth fault current which flows through the grounding system

η : Division factor between grounding wire and grounding device of transmission tower IN: Maximum earth fault current which flows to the neutral point of the transformer

280

Earthing system of Substation

Figure 569-1 Earth fault outside substation

(2) Case of earth fault inside the substation

Earth fault current which flows out of the grounding system of the substation consists of the earth fault current which flows to the grounding system, that which flows to grounding wire and that which flows to the neutral point of the transformer.

The earth fault current that flows to the grounding system, which is used designfor for grounding system, is calculated by the following equation.

IE = (1-η ) (IF-IN)

Earthing system of Substation

Figure 569-2 Earth fault inside substation

Many different types of faults may occur in the systemIt. may be difficult todetermine which fault type and location will result in the greatest flow of current between ground grid and surrounding earth because no simple rule applies.

In determining the applicable fault types, consideration shall be given to the probability ofoccurrence of the fault. Multiple simultaneous faults, even though they may result in higher ground current, need

281

not be considered if their probability ofoccurrence is negligible. It is recommended, for practical reasons, that investigation be confined to single-line-to-ground and line-to-line-to-ground faults.

In the case of a line-to-line-to-ground fault, the zero sequence fault current is

I0 = ( ) [ E( (R2 + jX)]2 )( ) ( )

R1 + jX1 R0 + R2 +3Rf + j X0 + X2 + R2 + jX2 R0 +3Rf + jX0 where:

I0 is the symmetrical rms value of zero sequence fault current in A E is the phase-to-neutral voltage inV

Rf is the estimated resistance of the fault in (normally it is assumed Rf = 0) R1 is the positive sequence equivalent system resistance in

R2 is the negative sequence equivalent system resistance in R0 is the zero sequence equivalent system resistance in

X1 is the positive sequence equivalent system reactance (subtransient) in X2 is the negative sequence equivalent system reactance in

X0 is the zero sequence equivalent system reactance in

The values R1, R2, R0, X1, X2 and X0 are computed looking into the system from the point of fault. In case of a single-to-ground fault, zero sequence fault current is

I0 = 3Rf + R1 + R2 + R0E+ j(X1 + X2 + X0 )

In many cases, the effect of the resistance terms in equation above is negligible. For practical purpose, the following simplified equations are sufficiently accurate and more convenient.

Zero sequence current for line-to-line-to-ground fault

I0

=

 

 

E X2

X1

(X0

+ X2 )+ (X2 + X0 )

 

 

Zero sequence current for line-to-ground fault

I0

=

 

E

 

X1

+ X2

+ X0

 

 

Effect of overhead ground wires and neutral conductors

Where transmission line overhead ground wires or neutral conductors are connected to the substation ground, substantial portion of the ground fault current is diverted away from the substation ground grid. Where this substation exists, the overhead ground wires or neutral conductors should be taken into consideration in the design of the ground grid.

Connecting the substationground to overhead ground wires or neutral conductors, or both, and through them to transmission line structures or distribution poles, will usually have the overall effect

of increasing the GPR at tower bases, while lessening it at the substation. This is because each of the nearby towers will share in each voltage rise of the substation ground mat, whatever the cause, instead of being affected only by a local insulation failure or flashover at one of the towers.Conversely, when

282

such a tower fault does occur, theffect of the connectedsubstation system should decrease the magnitude of gradients near the tower bases.

2. Earth fault current at power gird with isolated neutral point.

Earth fault current at power grid with isolated neutralpoint is based on actually measured earth fault current. If this measured value is not obtained, the earth fault current is calculatedwith reference to the equations shown in Table 573.

283

284

Table 569 [Reference] Earth fault current at power grid with isolated neutral point

 

Category

Power line

 

 

 

Equation of earth fault current

 

 

Remarks

 

 

Power line

 

 

 

 

 

 

 

V

 

 

 

 

 

 

 

 

 

 

 

 

 

I1:Earth fault current in

 

 

without cable

I =1+ 3 L 100

 

 

 

 

 

 

 

 

 

 

A

 

 

 

 

1

 

 

 

 

 

150

 

 

 

 

 

 

 

 

 

 

 

 

 

 

V: Nominal voltage of

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

First decimal place of the second term is

 

 

power line divided by

 

 

 

rounded up.

 

 

 

 

 

 

 

 

 

 

 

 

1.1

 

 

 

 

When I1 is less than 2, I1 is set to 2.

 

 

 

L: Total length of high-

 

 

Cable power

 

 

 

 

 

 

 

V

 

 

 

 

 

 

 

 

 

 

 

 

 

voltage or middle-

 

 

line

I1=1+

 

3 L′−1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

voltage power line

 

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

connected to the

 

 

 

First decimal place of the second term is

 

 

same busbar except

 

 

 

rounded up.

 

 

 

 

 

 

 

 

 

 

 

 

 

cable power line in

 

Isolated

 

When I1 is less than 2, I1 is set to 2.

 

 

 

km.

 

neutral

Both cases

 

 

 

 

 

 

 

V

 

 

 

 

V

 

 

 

 

 

 

 

 

(In case of 3phase-

 

point

 

I1=1+

3 L 100

+

 

3 L′−1

 

 

 

 

 

 

3wire, the length is

 

 

 

 

 

 

 

 

 

 

150

 

 

 

 

2

 

 

 

 

 

 

 

multiplied by 3, and

 

 

 

When the second term or the third term is

 

 

 

 

 

 

 

in case of single

 

 

 

minus number, it is set to zero.

 

 

 

 

 

 

 

 

 

phase-2wire, the

 

 

 

First decimal place of I1 is rounded up.

 

 

 

 

 

 

 

length is multiplied

 

 

 

When I1 is less than 2, I1 is set to 2.

 

 

 

 

 

 

 

 

 

by 2.)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

L’: Total length of

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

high-voltage or

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

middlevoltage

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

cable power line

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

connected to the

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

same busbar in km

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

I3: Earth fault current in

 

 

 

 

 

 

 

 

 

VR

 

2

 

 

 

 

VX

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

A

 

 

 

 

 

 

 

3

 

 

 

 

3

 

 

 

 

 

I

3

=

 

 

 

 

 

 

 

+ I

 

×103

 

 

I1: Earth fault current in

 

 

 

R2 + X

 

R2 + X 1

 

 

 

 

 

 

 

 

 

2

 

 

1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

above case in A

 

Neutral

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

V: Nominal voltage of

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

point

 

First decimal place of I3 is rounded up.

 

 

power line inkV

 

grounded

 

 

 

R: Resistance of

 

 

When I3

 

is less than 2, I3 is set to 2.

 

 

 

 

through

 

 

 

 

 

reactor connected

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

reactor

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

to neutral point in

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

X: Reactance of

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

reactor connected to

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

neutral point in

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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