Power Systems
The value of off diagonal elements is

 sum of admittances connected at bus i
 sum of admittances connected at bus j
 which is connected between bus i and bus j with negative sign
 which is connected between bus i and bus j with positive sign

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Power Systems
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 C1 and C2 respectively defined as follows: C1 = PG1+0.055P²G1 C2 = 3 PG2 + 0.03 P²G2 Where PG1 and PG2 are the MW injections from generators G1 and G2 respectively. Thus, the minimum cost dispatch will be

 PG1 = 100 MW and PG2 = 150 MW
 PG1 = 150 MW and PG2 = 100 MW
 PG1 = 0 MW and PG2 = 250 MW
 PG1 = 250 MW and PG2 = 0 MW

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