GATE EE
Power System Analysis
Power Generation Cost
Previous Years Questions

Marks 1

If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ______. (round off to nearest in...
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 +...
The figure shows a two-generator system supplying a load of $${P_D} = 40\,MW,$$ connected at bus $$2.$$ The fuel cost of generators $${G_1}$$ and $...
The incremental cost curves in Rs/MWhr for two generators supplying a common load of $$700$$ MW are shown in the figures. The maximum and minimum gene...
In order to have a lower cost of electrical energy generation,

Marks 2

Consider the economic dispatch problem for a power plant having two generating units. The fuel costs in $$Rs/MWh$$ along with the generation limits fo...
The incremental costs (in rupees/$$MWh$$) of operating two generating units are functions of their respective powers $${P_1}$$ and $${P_2}$$ in $$MW,$...
The fuel cost functions of two power plants are Plant $${P_1}:\,{C_1} = 0.05\,Pg_1^2 + AP{g_1} + B$$ Plant $${P_2}:\,{C_2} = 0.10\,Pg_2^2 + 3AP{g_2}...
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. ...
Three generators are feeding a load of $$100$$ $$MW$$. The details of the generators Rating, Efficiency and Regulation are shown below In the event ...
A lossless power system has to serve a load of $$250$$ $$MW.$$ There are two generators ($$G1$$ and $$G2$$) in the system with cost curves $${C_1}$$ a...
A load centre is at an equidistant from the two thermal generating stations $${G_1}$$ and $${G_2}$$ as shown in figure. The fuel cost characteristics ...
Incremental fuel costs (in some appropriate unit) for a power plant consisting of three generating units are $${\rm I}{C_1} = 20 + 0.3\,\,{P_1},\,{\rm...
The incremental cost characteristic of two generators delivering $$200$$ $$MW$$ are as follows $$\,\,\,{{d{F_1}} \over {d{P_1}}} = 20 + 0.1{P_1},\,\,...
An industrial consumer has a daily load pattern of $$2000$$ $$kW$$, $$0.8$$ lag for $$12$$ Hrs. and $$1000$$ $$kW$$ $$UPF$$ for $$12$$ Hrs. The load ...

Marks 5

A power system has two generators with the following cost curves Generator $$1:$$ $${C_1}\left( {{P_{G1}}} \right) = 0.006\,P_{G1}^2 + 8{P_{G1}} + 350...
In a power system, the fuel inputs per hour of plants $$1$$ and $$2$$ are given as $${F_1} = 0.20\,P_1^2 + 30\,{P_1} + 100\,\,$$ Rs per hour $${F_2} ...
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