The following given set of data shows a set of 15-minute kWdemands for four customers over a 24-hour period. A 25kVAsingle-phase transformer serves all the customers.
(a) Find the maximum 15-minute demand for each customer and theaverage 15-minute demand for each customer
(b) Find the total kWh usage and the load factor for eachcustomer.
(c) For the 25kVA transformer, compute the maximum 15-minutecoincident demand, the maximum 15-minute non-coincident demand andthe load diversity.
Time | Cust #1 | Cust #2 | Cust #3 | Cust #4 |
| kW | kW | kW | kW |
0:15 | 0.56 | 3.16 | 2.4 | 1.28 |
0:30 | 0.52 | 4.48 | 3.04 | 1.76 |
0:45 | 0.48 | 4.48 | 3.36 | 1.12 |
1:00 | 4.24 | 4.68 | 2.56 | 2.4 |
1:15 | 0.48 | 4.12 | 2.56 | 0.64 |
1:30 | 0.48 | 3.04 | 2.4 | 1.28 |
1:45 | 0.56 | 2.56 | 2.08 | 2.4 |
2:00 | 0.48 | 2.96 | 2.08 | 0.96 |
2:15 | 0.48 | 2.4 | 2.24 | 0.96 |
2:30 | 0.56 | 0.4 | 1.6 | 1.92 |
2:45 | 0.44 | 0.56 | 1.6 | 1.28 |
3:00 | 0.52 | 0.72 | 0.96 | 2.08 |
3:15 | 0.52 | 0.4 | 0.64 | 1.76 |
3:30 | 0.48 | 0.6 | 0.48 | 1.92 |
3:45 | 0.52 | 0.48 | 1.12 | 0.48 |
4:00 | 0.48 | 0.12 | 0.96 | 2.24 |
4:15 | 0.48 | 0.52 | 0.32 | 1.12 |
4:30 | 0.52 | 0.6 | 0.64 | 1.76 |
4:45 | 0.52 | 0.2 | 1.92 | 0.8 |
5:00 | 0.44 | 0.32 | 2.24 | 1.6 |
5:15 | 0.52 | 0.6 | 1.76 | 2.08 |
5:30 | 0.84 | 0.36 | 2.24 | 0.32 |
5:45 | 4.44 | 0.2 | 2.24 | 2.08 |
6:00 | 0.68 | 0.56 | 1.44 | 1.28 |
6:15 | 0.56 | 0.48 | 1.6 | 1.76 |
6:30 | 0.56 | 0.16 | 1.28 | 0.64 |
6:45 | 0.56 | 0.52 | 0.8 | 1.76 |
7:00 | 0.52 | 1.68 | 2.72 | 1.92 |
7:15 | 0.48 | 0.96 | 1.28 | 0.32 |
7:30 | 0.72 | 1.2 | 1.44 | 2.08 |
7:45 | 1.48 | 1.44 | 1.28 | 1.12 |
8:00 | 2.12 | 1.04 | 2.88 | 2.4 |
8:15 | 0.88 | 1.04 | 2.56 | 0.8 |
8:30 | 2.44 | 1.4 | 2.08 | 2.24 |
8:45 | 0.88 | 1.08 | 1.44 | 2.16 |
9:00 | 1 | 1.08 | 1.92 | 1.44 |
9:15 | 0.92 | 2.52 | 1.28 | 1.44 |
9:30 | 5.2 | 2.76 | 0.96 | 1.92 |
9:45 | 1.04 | 2.24 | 0.64 | 1.12 |
10:00 | 6 | 4.88 | 0.32 | 0.8 |
10:15 | 11.52 | 2.28 | 1.6 | 2.56 |
10:30 | 11.44 | 6.2 | 3.04 | 0.96 |
10:45 | 4.2 | 7.04 | 4.64 | 0.96 |
11:00 | 10.16 | 3.8 | 3.68 | 1.92 |
11:15 | 4.52 | 3.36 | 3.68 | 1.28 |
11:30 | 9.04 | 2.08 | 3.04 | 1.76 |
11:45 | 12.68 | 6.2 | 3.2 | 0.8 |
12:00 | 8.36 | 6.48 | 3.8 | 2.24 |
12:15 | 8.8 | 3.92 | 4.96 | 1.92 |
12:30 | 2.64 | 4.04 | 4.32 | 1.92 |
12:45 | 9.6 | 2.04 | 2.72 | 1.48 |
13:00 | 5.12 | 4.84 | 1.6 | 5.52 |
13:15 | 3.68 | 5.08 | 2.24 | 3.52 |
13:30 | 10.4 | 3.48 | 2.56 | 3.52 |
13:45 | 4.88 | 2.52 | 2.24 | 0.8 |
14:00 | 5.96 | 2.28 | 2.88 | 1.44 |
14:15 | 9.48 | 2.84 | 4.16 | 2.24 |
14:30 | 2.28 | 1.8 | 4.16 | 0.8 |
14:45 | 7.64 | 1.56 | 4 | 1.44 |
15:00 | 7.4 | 1.8 | 3.36 | 1.76 |
15:15 | 1.76 | 1.76 | 4.16 | 1.44 |
15:30 | 9.64 | 1.88 | 4.16 | 2.24 |
15:45 | 5.08 | 4.08 | 3.2 | 0.16 |
16:00 | 5.8 | 5.84 | 2.56 | 2.08 |
16:15 | 10.16 | 5.32 | 2.56 | 1.92 |
16:30 | 5 | 3.64 | 3.04 | 1.12 |
16:45 | 5.92 | 4.16 | 8.64 | 1.6 |
17:00 | 8.8 | 4.96 | 11.04 | 1.44 |
17:15 | 2.12 | 3.16 | 7.04 | 1.6 |
17:30 | 9.48 | 7.08 | 7.68 | 2.4 |
17:45 | 7.16 | 5.08 | 6.08 | 0.8 |
18:00 | 6.04 | 3.12 | 4.32 | 1.12 |
18:15 | 9.88 | 6.56 | 5.12 | 2.24 |
18:30 | 4.68 | 6.88 | 6.56 | 1.12 |
18:45 | 5.12 | 3.84 | 8.48 | 2.24 |
19:00 | 10.44 | 4.44 | 4 | 1.12 |
19:15 | 3.72 | 8.52 | 3.68 | 0.96 |
19:30 | 8.72 | 4.52 | 0.32 | 2.56 |
19:45 | 10.84 | 2.92 | 3.04 | 1.28 |
20:00 | 6.96 | 2.08 | 2.72 | 1.92 |
20:15 | 6.6 | 1.48 | 3.2 | 1.12 |
20:30 | 7.04 | 2 | 4.16 | 1.76 |
20:45 | 6.6 | 1.89 | 4.96 | 2.72 |
21:00 | 1.88 | 1.64 | 4.32 | 2.4 |
21:15 | 9.88 | 1.72 | 4.64 | 1.76 |
21:30 | 3.56 | 2 | 7.2 | 1.44 |
21:45 | 4.28 | 1.84 | 4.96 | 1.44 |
22:00 | 6.36 | 1.6 | 3.68 | 2.4 |
22:15 | 2.2 | 1.84 | 3.2 | 0.8 |
22:30 | 9.08 | 2.04 | 3.52 | 1.12 |
22:45 | 2.4 | 2 | 3.2 | 2.56 |
23:00 | 3 | 1.84 | 3.36 | 1.12 |
23:15 | 3 | 2.72 | 2.56 | 1.44 |
23:30 | 0.48 | 1.44 | 2.4 | 1.6 |
23:45 | 0.48 | 0.32 | 3.2 | 1.12 |
24:00:00 | 0.56 | 0.44 | 3.04 | 2.56 |