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i) Determine the voltage drop to e with the capacitor bank at c.

ii) Determine the voltage drop to e with the source at S and the capacitor at c.

The conductors 266800 18/1 ACSR can be found on the data sheet below. Please use it to solve this question

Shown in Figure 2B are the areas normally served by two feeders: 1km d 1km S' b 1km 1.5km S a e 1km V 3km Figure 2B (Adapted from Kersting: "Distribution System Modeling and Analysis") Under an emergency condition, the switch at b is closed so that the feeder normally serving the triangle area must now serve both areas. Assume both areas have a uniform load density of 3 MVA/square km and 0.9 lagging power factor. The primary feeder voltage is 11 kV. Laterals are uniformly tapped off of the primary main from S to a, no loads are tapped off the feed from a to b to c, and laterals are tapped off from c to d and from c to S'. The primary main conductors are 266800 18/1 ACSR (see the conductor data at the end of the paper) and are configured on a 2.5 m cross-arm with phase spacing of Dab = 0.75 m, Dbc =1.4 m and Dca = 2.15 m. Conductor Data GMR 1405 Strand Al/St 76/19 76/19 72/7 84/19 84/19 54/19 54/19 54/19 45/7 54/19 54/19 54/19 45/7 54/19 54/19 45/7 54/7 45/7 54/7 45/7 54/7 JOREE THRASHER KIWI BLUEBIRD CHUKAR FALCON LAPWING PARROT BOBOLINK FLOVER MARTIN PHEASANT BITTERN CRACKLE FINCH BLUEJAY CURLEW ORTOLAN CARDINAL RAIL CANARY CRANE CONDOR DRAKE MALLARD TERN CROW STARLING REDWING FLAMINGO ROOK GROSBEAK EGRET PEACOCK SQUAB DOVE EAGLE PARAKEET OSPREY HAWK HEN PELICAN IBIS LARK CHICKADEE LINNET ORIOLE OSTRICH PIPER PARTRIDGE WAXWING MERLIN Al Area CMILS 2515000 2312000 2167000 2156000 1781000 1590000 1590000 1510500 1431000 1431000 1351000 1272000 1272000 1192500 1113000 1113000 1033500 1033500 954000 954000 900000 874500 795000 795000 795000 795000 715500 715500 715500 666600 636000 636000 636000 605000 605000 556500 556500 556500 556500 477000 477000 477000 397500 397500 397500 336400 336400 300000 300000 266800 266800 336400 Diameter cm 4.7752 4.5771 4.4069 4.4755 4.0691 3.9243 3.8200 3.8252 3.6250 3.7210 3.6170 3.5103 3.4160 3.3985 3.2842 3.1950 3.1648 3.0780 3.0378 2.9590 2.9515 2.9108 2.7762 2.8143 2.8956 2.7000 2.6314 2.6695 2.7457 2.5400 2.4816 2.5146 2.5883 2.4206 2.4536 2.3546 2.4206 2.3220 2.2330 2.1793 2.2428 2.0680 1.9888 2.0472 1.8872 1.8313 1.8821 1.7272 1.7780 1.6307 1.5468 1.6460 54/7 54/7 26/7 30/19 45/7 54/7 26/7 30/19 54/7 54/7 26/7 30/19 54/7 26/7 26/7 30/7 24/7 18/1 26/7 30/7 18/1 26/7 30/7 18/1 26/7 30/7 26/7 30/7 26/7 18/1 18/1 cm 1.8928 1.8135 1.7374 1.7920 1.6276 1.5847 1.5150 1.5453 1.4390 1.5026 1.4600 1.4173 1.3560 1.3716 1.3258 1.2680 1.2800 1.2220 1.2283 1.1730 1.1917 1.1765 1.1216 1.1430 1.1978 1.0730 1.0637 1.0820 1.1338 1.0272 1.0028 1.0210 1.0698 0.9784 0.9967 0.9540 0.9997 0.9330 0.8660 0.8839 0.9266 0.8020 0.8077 0.8473 0.7345 0.7437 0.7772 0.7010 0.7345 0.6614 0.6035 0.6740 Resistance Ohm/km Ampacity 50Hz, 25C 50HZ, 500 Ampere 0.02600 0.02800 1550 0.02770 0.03000 1500 0.02940 0.03190 1465 0.02900 0.03140 1475 0.03410 0.03720 0.03740 0.04080 1380 0.03870 0.04210 1340 0.03860 0.04280 1340 0.04260 0.04640 1250 0.04077 0.04723 1300 0.04319 0.05000 1250 0.04586 0.05290 1200 0.04750 0.05190 1100 0.04897 0.05630 1160 0.05245 0.06020 1110 0.05380 0.05890 1100 0.05650 0.06432 1060 0.05780 0.06330 1050 0.06103 0.07000 1010 0.06240 0.06830 1000 0.06463 0.07365 970 0.06712 0.07632 950 0.07396 0.08564 900 0.07272 0.08000 900 0.07272 0.08000 910 0.07440 0.08160 900 0.08204 0.09211 0.08142 0.08962 840 0.08142 0.08962 840 0.08763 0.09950 800 0.09198 0.10490 770 0.09136 0.10055 780 0.09136 0.10055 780 0.09633 0.11032 750 0.09571 0.10690 760 0.10441 0.11554 730 0.10441 0.11554 730 0.10530 0.11560 715 0.10520 0.11540 700 0.12270 0.13480 670 0.12290 0.13490 670 0.12240 0.13440 0.14720 0.16170 590 0.14740 0.16190 600 0.14555 0.15985 575 0.17380 0.19090 530 0.17400 0.19120 530 0.19480 0.21400 490 0.19510 0.21440 500 0.21890 0.24050 460 0.21678 0.23810 450 0.17310 0.19010 460 830 640 Shown in Figure 2B are the areas normally served by two feeders: 1km d 1km S' b 1km 1.5km S a e 1km V 3km Figure 2B (Adapted from Kersting: "Distribution System Modeling and Analysis") Under an emergency condition, the switch at b is closed so that the feeder normally serving the triangle area must now serve both areas. Assume both areas have a uniform load density of 3 MVA/square km and 0.9 lagging power factor. The primary feeder voltage is 11 kV. Laterals are uniformly tapped off of the primary main from S to a, no loads are tapped off the feed from a to b to c, and laterals are tapped off from c to d and from c to S'. The primary main conductors are 266800 18/1 ACSR (see the conductor data at the end of the paper) and are configured on a 2.5 m cross-arm with phase spacing of Dab = 0.75 m, Dbc =1.4 m and Dca = 2.15 m. Conductor Data GMR 1405 Strand Al/St 76/19 76/19 72/7 84/19 84/19 54/19 54/19 54/19 45/7 54/19 54/19 54/19 45/7 54/19 54/19 45/7 54/7 45/7 54/7 45/7 54/7 JOREE THRASHER KIWI BLUEBIRD CHUKAR FALCON LAPWING PARROT BOBOLINK FLOVER MARTIN PHEASANT BITTERN CRACKLE FINCH BLUEJAY CURLEW ORTOLAN CARDINAL RAIL CANARY CRANE CONDOR DRAKE MALLARD TERN CROW STARLING REDWING FLAMINGO ROOK GROSBEAK EGRET PEACOCK SQUAB DOVE EAGLE PARAKEET OSPREY HAWK HEN PELICAN IBIS LARK CHICKADEE LINNET ORIOLE OSTRICH PIPER PARTRIDGE WAXWING MERLIN Al Area CMILS 2515000 2312000 2167000 2156000 1781000 1590000 1590000 1510500 1431000 1431000 1351000 1272000 1272000 1192500 1113000 1113000 1033500 1033500 954000 954000 900000 874500 795000 795000 795000 795000 715500 715500 715500 666600 636000 636000 636000 605000 605000 556500 556500 556500 556500 477000 477000 477000 397500 397500 397500 336400 336400 300000 300000 266800 266800 336400 Diameter cm 4.7752 4.5771 4.4069 4.4755 4.0691 3.9243 3.8200 3.8252 3.6250 3.7210 3.6170 3.5103 3.4160 3.3985 3.2842 3.1950 3.1648 3.0780 3.0378 2.9590 2.9515 2.9108 2.7762 2.8143 2.8956 2.7000 2.6314 2.6695 2.7457 2.5400 2.4816 2.5146 2.5883 2.4206 2.4536 2.3546 2.4206 2.3220 2.2330 2.1793 2.2428 2.0680 1.9888 2.0472 1.8872 1.8313 1.8821 1.7272 1.7780 1.6307 1.5468 1.6460 54/7 54/7 26/7 30/19 45/7 54/7 26/7 30/19 54/7 54/7 26/7 30/19 54/7 26/7 26/7 30/7 24/7 18/1 26/7 30/7 18/1 26/7 30/7 18/1 26/7 30/7 26/7 30/7 26/7 18/1 18/1 cm 1.8928 1.8135 1.7374 1.7920 1.6276 1.5847 1.5150 1.5453 1.4390 1.5026 1.4600 1.4173 1.3560 1.3716 1.3258 1.2680 1.2800 1.2220 1.2283 1.1730 1.1917 1.1765 1.1216 1.1430 1.1978 1.0730 1.0637 1.0820 1.1338 1.0272 1.0028 1.0210 1.0698 0.9784 0.9967 0.9540 0.9997 0.9330 0.8660 0.8839 0.9266 0.8020 0.8077 0.8473 0.7345 0.7437 0.7772 0.7010 0.7345 0.6614 0.6035 0.6740 Resistance Ohm/km Ampacity 50Hz, 25C 50HZ, 500 Ampere 0.02600 0.02800 1550 0.02770 0.03000 1500 0.02940 0.03190 1465 0.02900 0.03140 1475 0.03410 0.03720 0.03740 0.04080 1380 0.03870 0.04210 1340 0.03860 0.04280 1340 0.04260 0.04640 1250 0.04077 0.04723 1300 0.04319 0.05000 1250 0.04586 0.05290 1200 0.04750 0.05190 1100 0.04897 0.05630 1160 0.05245 0.06020 1110 0.05380 0.05890 1100 0.05650 0.06432 1060 0.05780 0.06330 1050 0.06103 0.07000 1010 0.06240 0.06830 1000 0.06463 0.07365 970 0.06712 0.07632 950 0.07396 0.08564 900 0.07272 0.08000 900 0.07272 0.08000 910 0.07440 0.08160 900 0.08204 0.09211 0.08142 0.08962 840 0.08142 0.08962 840 0.08763 0.09950 800 0.09198 0.10490 770 0.09136 0.10055 780 0.09136 0.10055 780 0.09633 0.11032 750 0.09571 0.10690 760 0.10441 0.11554 730 0.10441 0.11554 730 0.10530 0.11560 715 0.10520 0.11540 700 0.12270 0.13480 670 0.12290 0.13490 670 0.12240 0.13440 0.14720 0.16170 590 0.14740 0.16190 600 0.14555 0.15985 575 0.17380 0.19090 530 0.17400 0.19120 530 0.19480 0.21400 490 0.19510 0.21440 500 0.21890 0.24050 460 0.21678 0.23810 450 0.17310 0.19010 460 830 640