International Journal of Computer and Electrical Engineering, Vol. 3, No. 6, December 2011 TABLE I: GMS SCHEDULE FOR CASE 1 WEEK NO GENERATING UNITS SCHEDULED FOR MAINTENANCE GENERATING UNITS SCHEDULED FOR MAINTENANCE WEEK NO DPSO MDPSO <strong>ABC</strong> M<strong>ABC</strong> DPSO MDPSO <strong>ABC</strong> M<strong>ABC</strong> 1 5 3,12 1 4 27 16 20 18 18,20 2 5 2,12 1 4 28 16,18 16 ---- ---- 3 5 2 1 4 29 16 16 14 16 4 4 6 1 5 30 16 16 14 16 5 4 6,9,13 1 5 31 16 16 14 16 6 4 6,9,13 1 5 32 16 16 14 16 7 3,6 6,13 1 1 33 --- 16 14 16 8 6,10,13 6,7 5 1 34 20 19 16 16 9 6,10,13 6,7,10 5 1,13 35 21 17,19 16 14 10 6,10,13 6,7,10 5 1,13 36 21 17 16 14 11 6,9,10 6,7,10 4 1,13 37 21 17 16 14 12 6,9 6,7,11 4 1,11 38 21 14 16 14 13 6 6,8,11 4 1,11 39 19 14 16 14 14 6,7 5 6,13 6,10 40 19 14 19 19 15 6,7 5 6,11,13 6,10 41 15 14 19,21 19,21 16 6,7 5 6,11,13 6,10 42 15 14 21 17,21 17 2,7 1 3,6 3,6,10 43 15 --- 21 17,21 18 2,12 1 6,9,10 6,9 44 15 15 17,21 17,21 19 8,12 1 6,9,10 6,9 45 15 15 17 --- 20 1 1 6,8,10 6,8 46 17 15 17,20 --- 21 1 1 6,10 6,7 47 17 15 15 15 22 1 1 6,7 6,7 48 14,17 15 15 15 23 1 1 6,7 6,7 49 14 21 15 15 24 1 4 2,7,12 2,7,12 50 14 21 15 15 25 1 4 2,7,12 2,12 51 14 21 15 15 26 1 4 --- --- 52 14 18,21 ---- ---- WEEK NO TABLE II: GMS SCHEDULE FOR CASE 2 GENERATING UNITS SCHEDULED FOR MAINTENANCE GENERATING UNITS SCHEDULED FOR MAINTENANCE WEEK MS - MS - MDPSO <strong>ABC</strong> M<strong>ABC</strong> NO MDPSO <strong>ABC</strong> M<strong>ABC</strong> MDPSO MDPSO 1 1 12,13 8,10 1,10,13 27 19 17,20 17,21 15 2 1 12,13 10 1,10,13 28 19,20 17,19 17,21 15 3 1 4,13 1,10 1,10,13 29 16 17,19 17,21 15 4 1 4 1,10 1,10 30 16 --- 21 15 5 1 4 1 1,11 31 16 14 19 15 6 1 2,6 1 1,11 32 16 14 19 --- 7 1,6 2,6 1 1 33 16 14 --- 16,18 8 3,6,11 6 1 --- 34 16 14 14 16 9 2,6,11 6 1 4 35 --- 14 14 16 10 2,6 6,7,8 2 2,4 36 17 --- 14 16 11 6 6,7 2,4 2,4 37 17 21 14 16 12 6 6,7 4 5,9 38 17 21 14 16 13 6,13 6,7 4,9 5,9 39 14 21 20 --- 14 6,10,13 6,7,11 5,9 5 40 14 21 --- --- 15 6,10,13 6,11 3,5 3,6 41 14 18 16 14,19 16 6,7,10 6 5,6 6 42 14 16 16 14,19 17 7,10 6 6 6 43 14 16 16 14 18 7,9,12 5,9 6 6 44 21 16 16,18 14 19 7,9,12 5,9 6,12,13 6,12 45 18,21 16 16 14 20 4 1 6,12,13 6,12 46 21 16 16 20,21 21 4 1 6,11,13 6,7 47 21 16 15 17,21 22 4 1,10 6,7,11 6,7 48 15 15 15 17,21 23 --- 1,10 6,7 6,7 49 15 15 15 17,21 24 5 1,10 6,7 6,7,8 50 15 15 15 --- 25 5 1,10 6,7 ---- 51 15 15 15 --- 26 5,8 1 --- ---- 52 15 15 --- --- 817
International Journal of Computer and Electrical Engineering, Vol. 3, No. 6, December 2011 WEEK NO TABLE III: GMS SCHEDULE FOR CASE 3 GENERATING UNITS SCHEDULED FOR MAINTENANCE DPSO MDPSO <strong>ABC</strong> M<strong>ABC</strong> 1 4 4 2,6 1,10 2 4 4 2,6 1,10 3 4 4 6,3 1,10 4 6 6 6,7 1,10 5 6,7 2,6,13 6,7 1,11,13 6 6,7 2,6,13 6,7 1,11,13 7 2,6,7 6,13 6,7 1,13 8 2,6,7 3,6 6,13 4 9 3,6,13 6,12 6,13 4 10 6,13 6,11,12 6,13 4 11 6,10 6,10,11 11,12 5 12 6,10 6,10 11,12 5 13 6,10,11 6,7,10 ---- 5 14 10,11 7,10 4 ---- 15 12 7 4 2,6,7 16 12 7,8 4 2,6,7 17 5 5 5 6,7 18 5 5 5 6,7 19 5 5 5 6,8 20 1 1 1,8 6,9 21 1 1 1,9 6,9 22 1 1 1,9 6,12 23 1 1 1,10 6,12 24 1,8 1 1,10 6,3 25 1,9 1,9 1,10 --- 26 1,9 1,9 1,10 --- VIII. CONCLUSION The problem of generating optimal maintenance schedules of generating units <strong>for</strong> the purpose of maximizing economic benefits and improving reliable operation of a power system, subject to satisfying system constraints. In this paper, a <strong>Modified</strong> Artificial Bee Colony (M<strong>ABC</strong>) algorithm is proposed to solve a challenging power system optimization problem of generating unit maintenance schedule. The M<strong>ABC</strong> is a novel bio inspired algorithm suitable <strong>for</strong> engineering optimization problems, which is simple, robust and efficient in handling the constraints and produce better maintenance schedules. The modifications are made in the initialization stage and control parameter (limit) of the <strong>ABC</strong> algorithm, however these do not alter but improve the inherent search process of the algorithm. The per<strong>for</strong>mance of the proposed algorithm <strong>for</strong> solving GMS is tested with the 13 and 21 unit test system and the results are compared with earlier reported methods. 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