A system consists of two plants connected by a transmission line and…

Question

A system consists of two plants connected by a transmission line and a load is at power plant 2 as shown in Fig.(2). Data for the loss equation consists of the information that 200MW transmitted form plant 1 to the load results in a transmission loss of 20MW. Find the optimum generation schedule considering transmission losses to supply a load of 204.41MW. Also evaluate the amount of financial losses are not co-ordinated. Assume that the incremental fuel cost characteristics of plant 1 and 2 are given by

$\frac{dF_1}{dP_{g_1}} = 0.025\,P_{g_1} + 14\text{ Rs/MWh}$

$\frac{dF_2}{dP_{g_2}} = 0.05\,P_{g_2} + 16\text{ Rs/MWh}$

For the system shown in Fig. (2):

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