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Electrical Machines Question on DC Generator Efficiency

The incremental cost characteristics of two generators delivering a total load of 200MW are as follows.
df1/dp1=2.0+0.01P1.  df2/dp2=1.6+0.02P2df_1/dp_1=2.0+0.01 P_1.\; df_2/dp_2=1.6+0.02 P_2
What should be the values of P₁ and P₂ for economical operations?

A

P1P2=100W P_1-P_2 = 100 W

B

P1=80MW,P2=120MWP_1=80MW, P_2 =120 MW

C

P1=200MW.P2=0MWP_1=200 MW. P_2 = 0MW

D

P1=120MW,P2=80MVP_1=120MW, P_2=80MV

Answer

P1=120MW,P2=80MVP_1=120MW, P_2=80MV

Explanation

Solution

The correct option is (D):P1=120MW,P2=80MVP_1=120MW, P_2=80MV .