# Questions & Answers of Power Generation Concepts

## Weightage of Power Generation Concepts

Total 8 Questions have been asked from Power Generation Concepts topic of Power Systems subject in previous GATE papers. Average marks 1.62.

P: wind farms.
Q: run-of-river plants.
R: nuclear power plants.
S: diesel power plants.

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:

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

The incremental costs (in Rupees/MWh) of operating two generating units are functions of their respective powers ${P}_{1}$ and ${P}_{2}$ in MW, and are given by

$\frac{d{C}_{1}}{d{P}_{1}}=0.2{P}_{1}+50$
$\frac{d{C}_{2}}{d{P}_{2}}=0.24{P}_{2}+40$

Where

20MW$\le {P}_{1}\le$150 MW
20MW$\le {P}_{2}\le$150MW.

For a certain load demand, ${P}_{1}$ and ${P}_{2}$ have been chosen such that $d{C}_{1}/d{P}_{1}$ = 76 Rs/MWh and $d{C}_{2}/d{P}_{2}$ = 68.8 Rs/MWh. If the generations are rescheduled to minimize the total cost, then ${P}_{2}$ is _____________.

The fuel cost functions of two power plants are

Plant ${P}_{1}:{C}_{1}=0.05P{g}_{1}^{2}+AP{g}_{1}+B$

Plant ${P}_{2}:{C}_{2}=0.10P{g}_{2}^{2}+3AP{g}_{2}+2B$

where, Pg1 and Pg2 are the generated powers of two plants, and A and B are the constants. If the two plants optimally share 1000 MW load at incremental fuel cost of 100 Rs/MWh, the ratio of load shared by plants P1 and P2 is

The figure shows a two-generator system supplying a load of PD = 40 MW, connected at bus 2.

The fuel cost of generators G1 and G2 are :

C1(PG1)=10,000 Rs/MWh and C2(PG2)=12,500 Rs/MWh

and the loss in the line is ${P}_{loss\left(pu\right)}=0.5{P}_{G1\left(pu\right)}^{2}$,where the loss coefficient is specified in pu on a 100 MVA base. The most economic power generation schedule in MW is

A load center of 120 MW derives power from two power stations connected by 220 kV transmission lines of 25 km and 75 km as shown in the figure below. The three generators G1,G2 and G3 are of 100 MW capacity each and have identical fuel cost characteristics. The minimum loss generation schedule for supplying the 120 MW load is