Power Systems: The Electric Power Engineering Handbook 3rd. Edition by Leonard L. Grigsby | 9780367381486 | 0367381486 | Holooly

Power Systems: The Electric Power Engineering Handbook

16 SOLVED PROBLEMS

Question: 14.1

Assume 10 identical substation bus support insulators in parallel located in a 500-kV substation located at sea level; this configuration can be described as an air gap, conductor to rod configuration at standard atmospheric conditions. Assume that an overall pfo for the 10 gaps of 0.5% is desired ...

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The desired pfo of one gap, p, then should be [lat...

Question: 5.9

The SCADA system for the power network shown in Figure 5.3 reports the following measurements and variances: ...

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The first step in the estimation process is to ide...

Question: 5.4

Minimize C: x²1 + 2x²2 + u² = f(x1, x2, u) subject to the following constraints: 0 = x²1 + x2 – 4u – 2 ...

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To find ∇C of Equation 5.50, the following partial...

Question: 5.8

Repeat Example 5.7 using the dual-variable approach. ...

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By introducing the additional equation

P_{2...

Question: 5.7

Repeat Example 5.5, except use penalty functions to limit the power flow across line 2–3 to 0.4 pu. ...

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The power flow across line 2–3 in Example 5.5 is g...

Question: 5.6

Example 5.5 except that the generators must satisfy the following limitations: 80 “p1” 1200 MW 450 “P2” 750 MW 150 “P3” 250 MW ...

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From the solution of Example 5.5, the output of ge...

Question: 5.5

Consider again the three machine system of Example 5.2 except that bus 3 has been converted to a generator bus with a voltage magnitude of 1.0pu. The cost functions of the generators are C1: P1+0.0625P1² $/h c2: P2+0.0125P2² $/h C3: P3+0.0250P3² $/h Find the optimal generation scheduling of this ...

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Following the steepest descent procedure, the firs...

Question: 1.2

The three-winding single-phase transformer of Figure 1.1 is rated at 13.8 kV/138 kV/4.157 kV and 50 MVA/40 MVA/10 MVA. Terminations are as follows: 13.8 kV winding: 13.8 kV Source 138 kV winding: 35 MVA load, pf = 0.866 lagging 4.157 kV winding: 5 MVA load, pf = 0.866 leading Using Sbase = 10 MVA, ...

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(a) See Figure 1.4 (b)

S_{2} =\frac{35}{10}...

Question: 1.1

(a) Solve for Z, I, and S at Port ab in Figure 1.1a. (b) Repeat (a) in per-unit on bases of Vbase = 100 V and Sbase = 1000 V. Draw the corresponding per-unit circuit. ...

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(a)

Z_{ab} =8+j12 -j6 =8 +j6=10\angle -3...

Question: 1.4

A 3ϕ 240 kV :15 kV transformer supplies a 13.8kV 60 MVA pf = 0.8 lagging load, and is connected to a 230 kV source on the high-voltage (HV) side, as shown in Figure 1.6. (a) Determine all base values on both sides for S3ϕbase = 100 MVA. At the low-voltage (LV) bus, ...

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(a) Base values on the LV side are the same as in ...

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