An Enhanced Genetic Algorithm to Solve the Static and Multistage Transmission Network Expansion Planning

Table 1

Investment proposals for the multistage expansion planning.

	Proposal of [29]	Proposal of [22]	Proposal of [38]	Better proposal by the EGA	Worst proposal by the EGA
Total investment cost	514,356,716 US$	503,717,434 US$	505,802,470 US$	491,012,200 US$	498,511,200 US$
Total load of shedding	0.0000 MW	0.0000 MW	0.0000 MW	0.4123 MW	0.000 MW
Investment cost stage 1	316,440,000 US$	338,744,000 US$	338,744,000 US$	338,744,000 US$	352,014,000 US$
Load of shedding stage 1	0.000 MW	0.000 MW	0.000 MW	0.000 MW	0.000 MW
Circuits proposal stage 1	𝑛56−81 = 1, 𝑛55−57 = 1	𝑛57−81 = 2, 𝑛55−57 = 1,	𝑛57−81 = 2, 𝑛55−57 = 1,	𝑛57−81 = 2, 𝑛55−57 = 1,	𝑛57−81 = 2, 𝑛55−57 = 1,
	𝑛56-57 = 1, 𝑛55−62 = 1	𝑛55−62 = 1, 𝑛45−81 = 1,	𝑛55−62 = 1, 𝑛45−81 = 1,	𝑛55−62 = 1, 𝑛45−81 = 1,	𝑛55−62 = 1, 𝑛19−82 = 1,
	𝑛45−81 = 1, 𝑛82−85 = 1	𝑛82−85 = 1	𝑛82−85 = 1	𝑛82−85 = 1	𝑛82−85 = 1
Investment cost stage 2	122,011,272 US$	76,362,750 US$	76,362,750 US$	76,362,750 US$	66,688,920 US$
Load of shedding stage 2	0.0000 MW	0.0000 MW	0.0000 MW	0.0000 MW	0.0000 MW
Circuits proposal stage 2	𝑛56-57 = 1, 𝑛27−29 = 1,	𝑛27−29 = 1, 𝑛62−73 = 1,	𝑛27−29 = 1, 𝑛62−73 = 1	𝑛27−29 = 1, 𝑛62−73 = 1	𝑛27−29 = 1, 𝑛62−73 = 1,
	𝑛62−73 = 1, 𝑛72-73 = 1,	𝑛72-73 = 1, 𝑛19−82 = 1	𝑛72-73 = 1, 𝑛19−82 = 1	𝑛72-73 = 1, 𝑛19−82 = 1	𝑛72-73 = 1
	𝑛19−82 = 1
Investment cost stage 3	75,905,444 US$	88,610,684 US$	90,695,720 US$	75,905,444 US$	79,808,140 US$
Load of shedding stage 3	0.0000 MW	0.0000 MW	0.0000 MW	0.4123 MW	0.0000 MW
Circuit proposal stage 3	𝑛43−88 = 2, 𝑛15−18 = 1,	𝑛52−88 = 1, 𝑛15−18 = 1,	𝑛52−88 = 1, 𝑛15−18 = 1,	𝑛43−88 = 2, 𝑛15−18 = 1,	𝑛43−88 = 2, 𝑛15−18 = 1,
	𝑛30−65 = 1, 𝑛30−72 = 1,	𝑛55−84 = 1, 𝑛55−62 = 1	𝑛55−84 = 1, 𝑛55−62 = 1,	𝑛30−65 = 1, 𝑛30−72 = 1,	𝑛30−65 = 2, 𝑛55−84 = 1,
	𝑛55−84 = 1, 𝑛29−64 = 1,	𝑛29−31 = 1, 𝑛29−64 = 1	𝑛29−31 = 1, 𝑛29−64 = 2	𝑛55−84 = 1, 𝑛29−64 = 1,	𝑛29−64 = 1, 𝑛19−82 = 1,
	𝑛19−82 = 1, 𝑛68−86 = 1	𝑛68−86 = 1	𝑛68−86 = 1	𝑛19−82 = 1, 𝑛68−86 = 1	𝑛68−86 = 1