Q1 A power system contains the following generating capacity. 3 x 40 MW hydro un
ID: 1716237 • Letter: Q
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Q1 A power system contains the following generating capacity. 3 x 40 MW hydro units FOR = 0,005 1 x 50 MW thermal unit FOR = 0.02 1 x 60 MW thermal unit FOR = 0.02 The annual daily peak load variation curve is given by a straight line from the 100% to the 40% points.
(a) Calculate the loss of load expectation for the following peak toad values,(i) 150 MW (ii) 180 MW (iii) 200 MW
(b) Calculate the loss of load expectation for the following peak load values, given that another 60 MW thermal unit with a FOR of 0.02 is added to the system. (i) 200MW (ii) 230MW (iii) 250 MW
(c) Determine the increase in load carrying capability at the 0.1day/year risk level due to the addition of the 60 MW thermal unit.
(d) Calculate the loss of load expectation for the load levels in (a) and (b) using the load forecast uncertainty distribution shown in figure below. (e) Determine the increase in load carrying capability at the 0.1 day/year risk level for the conditions in part (d).
0.6 C0 0.2 -10 0 +10 Deviationfrom forecast (MW)Explanation / Answer
(a) Peak load LOLE
150 0.085719 (d/yr)
180 0.830924
200 3.595240
(b) 200 0.105548 (d/yr)
230 0.257689
250 2.641976
(c) Increase in peak load carrying capability = 45 MW
(d) Peak load LOLE
150 0.085349 (d/yr)
180 0.940321
200 3.565910
200 0.106232 (d/yr)
230 0.448675
250 2.686116
(e) Increase in peak load carrying capability = 43 MW
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