Answers to Selected Problems
Chapter 2
- 2.1 (a) 1112.5 kW; (b) 10.08 kW; (c) 88,300.8 kWh
- 2.2 0.62
- 2.3 (a) 1.0; (b) 0.50; (c) 0.60; (d) 0.44
- 2.5 0.64
- 2.6 (a) 1.0; (b) 0.55; (c) 0.65; (d) 0.48
- 2.7 0.46
- 2.8 0.75 and 0.33
- 2.9 (a) 131,400 kWh; (b) $3285 2.11 (a) 0.40; (b) 0.50
- 2.13 (a) $370.40; (b) 0.11; (c) 0.34; (d) justifiable
- 2.15 (a) 0.41 and 0.29; (b) 30 and 60 kVA; (c) $196 and $262; (d) 4.937 kvar; (e) not justifiable
Chapter 3
- 3.1 (a) 7.62∠60° kV; (b) 13.2∠30° kV
- 3.2 (a) 27,745.67 VA; (b) 13,872.83 VA; (c) 41,618.5 VA; (d) 24 kVA; (e) 24 kVA; (f) 48 kVA; (g) 1.078
- 3.4
- (a) 100∠–30° A, 100∠30° A, and 100∠90° A
- (b) I¯A = 11.54∠0° A, I¯B = 11.53∠–120° A, and I¯C = 11.53∠ 120° A
- 3.5 0 var and 83,040 W
- 24, 13.8 and 27.6 kVA
- 1.075
- 3.9 $113.93 and $117.65
- 3.10
- 24.305 A, 0.7 pu A, and 69.444 A
- 7.2576 and 0.8891 Ω
- 218.2526 and 623.5792 A
- 0.042 pu V and 302.4 V
Chapter 4
- 4.4 (a) 3.5935 × 10−5% VD/(kVA · mi); (b) 3.5 × 10−5% VD/(kVA · mi)
- 4.5 4.7524 × 10−5% VD/(kVA · mi)
- 4.6 5.5656 × 10−5% VD/(kVA · mi)
- 4.7 7.7686 × 10−5% VD/(kVA · mi)
- 4.8 0.02% VD/(kVA · mi) and 10% VD
- 4.9 5%
- 4.10 6.667%
- 4.11 (a) 2.0; (b) 1.5; (c) 1.33
- 4.14 2.7 mi, 5.4 mi, and 14,670 kVA
Chapter 5
- 5.2 1.39%
- 5.3 (a) 2.98%; (b) it meets the VD criterion; (c) ΔXd = 0.0436 Ω/mi
- 5.4 (a) 2.31%; (b) yes; (c) the same
- 5.5 (a) The same; (b) 1.49%; (c) 4.66%
Chapter 6
- 6.4
- (a) 1/0 AWG or 105.5 kcmil;
- (b) Not applicable; (f) $950.25/block/year;
- (c) 25 kVA; (g) $2.32/customer/month
- (d) $920.55/block/year (h) $0.93/customer/month
- (e) $935.47/block/year;
- (f) $950.25/block/year;
- (g) $2.32/customer/month
- (h) $0.93/customer/month
- 6.4 (a) 1/0 AWG; (b) not applicable; (c) $935.47/block/year
- 6.5
- 113.3−j5.09 A and −78.6 + j1.5 A
- b. 35.03∠−6.45° A
- c. 113.4∠−2.6° and 117.9∠−1.1° V
- d. 231.3∠−1.8° V
- 6.7
- 112.1∠−35.4° and 116.3∠175.9° A
- 24.6 + j56.6 A
- 112.1∠−1.5° and 116.3∠−4.1° V
- 228.1∠−1.3° V
Chapter 7
- 7.1 (a) 8.94 pu V; (b) 24.24 kW; (c) 12.342 kvar; (d) 81.6 kVA and 0.891 lagging
- 7.4 (a) 0.0106 pu V; (b) 0.0135 pu V; (c) not applicable
- 7.5 (a) 0.72 pu A; (b) 0.050 pu V
Chapter 8
- 8.1 (a) 0.4863 leading; (b) 0.95 leading
- 8.2
- 1200 kvar and 0.975 lagging
- b. 84.7 A and 609.2 kVA
- c. 224.5 V or 9.37% V
- d. 0.97
- 8.4 (a) 228.5 kvar; (b) 0.86; (c) 4644.1 kvar; (d) 7493.6 kVA
- 8.5
- (a) 8 kW; (g) $11,237.40/year;
- (b) 12 k W; (h) $1340.30/year;
- (c) 20 kW; (i) $6390.70/year;
- (d) 2081 kVA; (j) $7127/year;
- (e) 6727 kvar; (k) No
- (f) $940/year
- 8.6 (a) 283 A; (b) 235/11.4° A; (c) 164.5 kvar/phase
Chapter 9
- 9.3
- 124.2 V
- 4 and 12 steps
- At peak load, 1.0667 and 1.0083 pu V At no load, 1.035 and 1.0083 pu V
- 9.4 (a) 1.74 mi; (b) 2.55 mi; (c) it takes into account the future growth
- 9.5 167 kVA
- 9.9 12.5 A
- 9.10 (a) Bus a; (b) 76.2 kVA; (c) bus c; (d) 0.0455 pu V; (e) 0.0314 and 0.0404 pu V
- 9.11 (a) 0.0304 pu V; (b) 0.98”/8 pu V; (c) 1.0011 pu V
- 9.13 No
- 9.14 (a) 3 V; (b) objectionable
Chapter 10
- 10.3 It lacks 30%
- 10.4 (a) 7-A tap; (b) 8.93
- 10.5
- 1.3422 + j3.5281 and 0.7698 + j1.3147 Ω
- 0.9696 + j2.0525 Ω
- 1.4897 + j4.7766 Ω
- 1.5797 + j5.3922 Ω
- 479.66 A
- 415.4 A
- 427.14 A
- 10.7 (a) 2020, 1750, and 1450 A; (b) 870 A
- 10.8
- 0.2083+j1.5485 0
- b. 0.0409 + j0.1168 and 0.1336 + j0.3753Ω
- c. 0.0718 + j0.2030 Ω
- d. 0.2801 + j1.7515 Ω
- e. 0.0003112 + j0.0019461 Ω
- f. 0.00768 + j0.0133025 Ω
- g. 0.009215 + j0.001365 Ω
- h. 0.0172062 + j0.0166136 Ω
- i. 10,068 A
Chapter 11
- 11.2 0.0045
- 11.3 (a) 0.0588; (b) 0.0625
- 11.5 0.8347
- 11.6 200 days
- 11.8 0.0000779264
- 11.12 (a) 0.8465; (b) 0.9925; (c) 0.9988; (d) 0.996
- 11.13 (a) 0.9703; (b) 0.49
- 11.14 0.912
- 11.15 (a) 0.14715; (b) 0.00635
- 11.16 (a) 0.15355; (b) 0.00640
- 11.17 (a) 1.206 faults/year; (b) 15.44 h; (c) 0.18%; (d) 99.93 11.19 (a) 0.6, 0.7, and 0.8 faults/year; (b) 0.916, 0.8071, and 0.725 h
- 11.23 0.345
- 11.24 0.345
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