Example $9\mathrm{.}13.$ A two bus system is shown in the figure. If $100$ MW

is transmitted from plant $1$ to the load, a transmission loss of

$10$ MW is incurred. Find the required generation for each plant

and the power received by the load when the system cost is

Rs $25/$MWh$.$ The incremental fuel costs of the two plants are :

dPG$1=0\mathrm{.}02$Pa $+16$ Rs$/$MWh

dEz $=0\mathrm{.}04$Pc$2$ t $20$ Rs$/$MWh$.$