A system with two generators G1 and G2 (without generator limits) is shown.

The total load on the system is 1184 MW . The expression for the cost of generation ( $\mathrm{C}_1$ and $\mathrm{C}_2$ ) and real power loss ( $P_{\text {loss }}$ ) are as follows:

$$ \begin{aligned} & \mathrm{C}_1\left(P_{G 1}\right)=1000+50 P_{G 1}+0.01\left(P_{G 1}\right)^2 \mathrm{Rs} / \mathrm{MWh} \\ & \mathrm{C}_2\left(P_{G 2}\right)=2000+50 P_{G 2}+0.001\left(P_{G 1}\right)^2 \mathrm{Rs} / \mathrm{MWh} \end{aligned} $$

$$ P_{\text {Loss }}=0.001\left(P_{G 2}-50\right)^2 \mathrm{MW} $$

When the generators are operating at their optimal generation, meeting the total load requirement, the real power loss in the system is $\_\_\_\_$ MW (Round off to one decimal place)

Consider the Lagrange multiplier $\lambda=70.25$ for optimal generation.

Two units, rated at 100 MW and 150 MW , are enabled for economic load dispatch. When the overall incremental cost is $10,000 \mathrm{Rs}$./MWh, the units are dispatched to 50 MW and 80 MW respectively. At an overall incremental cost of $10,600 \mathrm{Rs} . / \mathrm{MWh}$, the power output of the units are 80 MW and 92 MW , respectively. The total plant MW-output (without overloading any unit) at an overall incremental cost of $11,800 \mathrm{Rs} . / \mathrm{MWh}$ is __________ (round off to the nearest integer)

The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given by

Plant 1 : C₁ = 350 + 6P₁ + 0.004P$$_1^2$$

Plant 2 : C₂ = 450 + aP₂ + 0.003P$$_2^2$$

where P₁ and P₂ are power generated by plant 1 and plant 2, respectively, in MW and a is constant. The incremental cost of power ($$\lambda$$) is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, are

Consider the economic dispatch problem for a power plant having two generating units. The fuel costs in $$Rs/MWh$$ along with the generation limits for the two units are given below:
$$\eqalign{ & {C_1}\left( {{P_1}} \right) = 0.01\,P_1^2 + 30{P_1} + 10; \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,100\,MW \le {P_1} \le 150\,MW \cr} $$
$$\eqalign{ & {C_2}\left( {{P_2}} \right) = 0.05\,P_2^2 + 10{P_2} + 10; \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,100\,MW \le {P_2} \le 180\,MW \cr} $$

The incremental cost (in $$Rs/MWh$$) of the power plant when it supplies $$200$$ $$MW$$ is __________.