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FIGURE 2.9.8 230-kV bus-tie reactors.<br />

A method to evaluate the merits of using either phase reactors or bus-tie reactors is presented in<br />

Section 2.9.3.2, Phase Reactors vs. Bus Tie Reactors.<br />

2.9.2.2.3 Neutral-Grounding Reactors<br />

Neutral-grounding reactors (NGR) are used to control single line-to-ground faults only. They do not<br />

limit line-to-line fault-current levels. They are particularly useful at transmission-voltage levels, when<br />

autotransformers with a delta tertiary are employed. Figure 2.9.9 shows a typical neutral-grounding<br />

reactor.<br />

These transmission-station transformers can be a strong source of zero-sequence currents, and as a<br />

result, the ground-fault current may substantially exceed the 3-fault current. These devices, normally<br />

installed between the transformer or generator neutral and ground, are effective in controlling single<br />

line-to-ground faults, since the system short-circuit impedance generally is largely reactive. NGRs reduce<br />

short-circuit stresses on station transformers for the most prevalent type of fault in an electrical system.<br />

If the objective is to reduce the single line-to-ground (1) fault, then Equations 2.9.14 and 2.9.14a<br />

must be used and, after algebraic manipulations, the required neutral reactor impedance, in Ohms, is<br />

calculated as:<br />

X NGR = 3 V LL [(1/I SCA ) – (1/I SCB )]/3 (2.9.3)<br />

where,<br />

X NGR = reactance of the neutral grounding reactor, <br />

V LL = system line-to-line voltage kV<br />

I SCA = required single line-to-ground short circuit current after the installation of the neutral<br />

reactor, kA.<br />

I SCB = available single line-to-ground short curcuit current before installation of neutral<br />

reactor, kA<br />

FIGURE 2.9.9 Typical neutral-grounding-reactor connection.<br />

where the parameters are defined as before, with the exception that the short-circuit currents in<br />

question are the single line-to-ground fault currents expressed in units of kA.<br />

A factor to be taken into consideration when applying NGRs is that the resulting X 0 /X 1 may exceed<br />

a critical value (X 0 10X 1 ) and, as a result, give rise to transient overvoltages on the unfaulted phases.<br />

(For more information, see IEEE Std. 142-1991, Green Book.)[14]<br />

Because only one NGR is required per three-phase transformer and because their continuous current<br />

is the system-unbalance current, the cost of installing NGRs is lower than that for phase CLRs. Operating<br />

losses are also lower than for phase CLRs, and steady-state voltage regulation need not be considered<br />

with their application.<br />

The impedance rating of a neutral-grounding reactor can be calculated using Equation 2.9.1, provided<br />

that the short-circuit currents before and after the NGR installation are single line-to-ground faults.<br />

Although NGRs do not have any direct effect on line-to-line faults, they are of significant benefit, since<br />

most faults start from line-to-ground, some progressing quickly to a line-to-line fault if fault-side energy<br />

is high and the fault current is not interrupted in time. Therefore, the NGR can contribute indirectly to<br />

a reduction in the number of occurrences of line-to-line faults by reducing the energy available at the<br />

location of the line-to-ground fault.<br />

2.9.2.2.3.1 Generator Neutral-Grounding Reactors — The positive-, negative-, and zero-sequence reactances<br />

of a generator are not equal, and as a result, when its neutral is solidly grounded, its line-to-ground<br />

short-circuit current is usually higher than the three-phase short-circuit current. However generators are<br />

usually required to withstand only the three-phase short-circuit current, [1] and a grounding reactor or<br />

a resistor should be employed to lower the single line-to-ground fault current to an acceptable limit.<br />

Other reasons for the installation of a neutral-grounding device are listed below:<br />

• A loaded generator can develop a third-harmonic voltage, and when the neutral is solidly<br />

grounded, the third-harmonic current can approach the generator rated current. Providing impedance<br />

in the grounding path can limit the third-harmonic current.<br />

• When the neutral of a generator is solidly grounded, an internal ground fault can produce large<br />

fault currents that can damage the laminated core, leading to a lengthy and costly repair procedure.<br />

The ratings of generator neutral-grounding reactors can be calculated as follows:<br />

1. The reactance value required for limiting a single line-to-ground fault to the same value as a threephase<br />

fault current can be calculated by the following formula:<br />

X<br />

NGR<br />

X" X<br />

d<br />

<br />

3<br />

<br />

m0<br />

(2.9.4)<br />

where<br />

X NGR = reactance of the neutral-grounding reactor, <br />

X d = direct axis subtransient reactance of the machine, <br />

X m0 = zero-sequence reactance of the machine, <br />

Equation 2.9.4 assumes that the negative-sequence reactance is equal to X d . In the absence of complete<br />

information, the value of reactance calculated using Equation 2.9.4 is satisfactory. Equations presented<br />

in chapter 19 of the Westinghouse <strong>Electric</strong>al Transmission and Distribution Reference Book [2] can also<br />

be used when the negative-sequence reactance of the generator is not equal to X d .<br />

2. The short-circuit-current rating of the grounding reactor is equal to the three-phase generator<br />

short-circuit current when the machine is an isolated generator or operating in a unit system<br />

(Figure 2.9.10). When more than one generator is connected to a shared bus and not all of them<br />

are grounded by a reactor with a reactance calculated from Equation 2.9.4, the short-circuitcurrent<br />

rating of the reactor in question should be calculated by using proper system constants<br />

for a single line-to-ground fault at the terminal of the machine being grounded. Equations in<br />

© 2004 by CRC Press LLC<br />

© 2004 by CRC Press LLC

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