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Power Systems
Economic Load Dispatch

Practice questions from Economic Load Dispatch.

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Q#1 Economic Load Dispatch GATE EE 2025 (Set 1) NAT +2 marks -0 marks

Two units, rated at 100 MW and 150 MW, are enabled for economic load dispatch. When the overall incremental cost is 10,000 Rs./MWh, the units are dispatched to 50 MW and 80 MW respectively. At an overall incremental cost of , 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  is __________ (round off to the nearest integer).

Explanation:

Given: For     &

For

Let

 

For lossless system,

  &

 

 

 

 On solving,

for   &

 

 

 

On solving,

Now,  Rs/ MWh,

 

                 

 

                 

Since,

Thus,

Total plant Mw -output without overloading any 

Q#2 Economic Load Dispatch GATE EE 2024 (Set 1) NAT +1 mark -0 marks

The incremental cost curves of two generators (Gen A and Gen B) in a plant supplying a common load are shown in the figure. If the incremental cost of supplying the common load is Rs. 7400 per MWh, then the common load in MW is ________ (rounded off to the nearest integer).

Explanation:

Based on equation of straight line

Since we cannot go below minimum value of power

Q#3 Economic Load Dispatch GATE EE 2023 (Set 1) MCQ +1 mark -0.33 marks

The expressions of fuel cost of two thermal generating units as a function of the respective power generation  and  are given as:

where  is a constant. For a given value of , optimal dispatch requires the total load of  to be shared as  and . With the load remaining unchanged, the value of  is increased by  and optimal dispatch is carried out. The changes in  and the total cost of generation,  in Rs/hour will be as follows:

 will decrease and  will increase.

Both  and  will increase.

 will increase and  will decrease.

Both  and  will decrease.

Explanation:

If a is increased by 10% the slope of incremental cost of generator 1 increases so for economic load dispatch when IC1=IC2

Pa1 reduces & Pa2 increases

As a increases & Pa1 reduces there is slight change in F1

As Pa2 increases, F2 increase

∴ Overall cost F1 + F2 increases