A power system has 2 generating stations, A and B, and two load busses, C and D.

Question

A power system has 2 generating stations, A and B, and two load busses, C and D. The generating station A has 2 generators each with a capacity of 10 MW and the station B has 3 generators each with a capacity of 15 MW. Determine the selection of generators connected to the bus bars in order to supply a total load of 30 MW, while maintaining required spinning, standby/replacement reserves. Assume the line losses are negligible. Based on your selection of generators, determine the available spinning reserve and standby/replacement reserve.

Explanation / Answer

Bus A = 2*10=20 MW ; Bus B = 15*3=45 MW ; Bus C and D load buses = 30 MW

Let us consider 2 cases of generator selecetion.

Case 1 : Bus A supplies 10 MW and Bus B supplies 20 MW.

Now to supply 10 MW from bus A we will keep ON a 10 MW generator and hence another 10 MW generator is standby reserve and no spinning reserve at bus A. Similarly,to supply 20 MW from bus B we will keep ON a 15 MW generator and run another generator at 5 MW hence 5 MW not utilised of this generator is spinning resereve and 15 MW of 3rd generator is standby reserve at bus B.

Case 2 : Bus A supplies 15 MW and Bus B supplies 15 MW.

Now to supply 15 MW from bus B we will keep ON a 15 MW generator and hence other two 15 MW generators are standby reserve at bus B i.e. total standby reserve is 30 MW and 0 spinning resereve. Similarly,to supply 15 MW from bus A we will keep ON a 10 MW generator and run another generator at 5 MW hence 5 MW not utilised of this generator is spinning resereve and 0 standby reserve at bus A.

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