Optimal Power Management of a DISCO with Integrations of Reliability Considerations and Wind Farm Based on Benders Decomposition

Table 1

Wind farm probability distribution for each hour.

Hour	Probability of occurrence
	5.00 MW	4. 40 MW	3.85 MW	3.30 MW	2.75 MW	2.20 MW	1.65 MW	1.10 MW	0.55 MW	0.00 MW
1	0.818548	0.020327	0.015153	0.023166	0.018659	0.028228	0.016889	0.020518	0.022072	0.016439
2	0.807695	0.015938	0.019718	0.032179	0.025176	0.016384	0.022946	0.017832	0.021826	0.020304
3	0.785746	0.022605	0.026773	0.02827	0.018412	0.03013	0.024797	0.02426	0.014111	0.024897
4	0.764885	0.018981	0.029188	0.035746	0.016951	0.034347	0.025023	0.02228	0.027531	0.025067
5	0.746459	0.024967	0.037105	0.023652	0.020331	0.029074	0.029396	0.029236	0.029355	0.030423
6	0.746459	0.024967	0.037105	0.023652	0.020331	0.029074	0.029396	0.029236	0.029355	0.030423
7	0.725218	0.028932	0.035601	0.031239	0.028772	0.0234	0.029965	0.025509	0.036348	0.035015
8	0.706415	0.035451	0.027232	0.033117	0.036965	0.033558	0.025264	0.039471	0.032951	0.029577
9	0.688664	0.025491	0.039018	0.036956	0.049526	0.035399	0.028861	0.02972	0.031686	0.034679
10	0.687112	0.031644	0.038404	0.043661	0.037484	0.040602	0.02828	0.025189	0.038176	0.029450
11	0.691455	0.043882	0.041939	0.027913	0.033965	0.02351	0.02969	0.029581	0.031814	0.046259
12	0.667926	0.039839	0.030943	0.039759	0.039677	0.038537	0.036717	0.037996	0.046942	0.021664
13	0.680014	0.029563	0.021978	0.038813	0.040829	0.033277	0.033726	0.03578	0.03853	0.04749
14	0.694954	0.026239	0.033476	0.033375	0.026873	0.042714	0.033401	0.042306	0.033018	0.033644
15	0.681595	0.027552	0.026122	0.031481	0.034156	0.03965	0.046043	0.027637	0.031701	0.054061
16	0.669687	0.041023	0.030866	0.033923	0.036513	0.031527	0.046212	0.043174	0.032458	0.034618
17	0.709901	0.029333	0.034226	0.032659	0.038942	0.027333	0.029574	0.027794	0.039274	0.030963
18	0.7336701	0.028382	0.024214	0.033826	0.026897	0.028144	0.032793	0.030391	0.036497	0.025187
19	0.7378926	0.031653	0.020864	0.027788	0.033584	0.027692	0.038773	0.023567	0.033453	0.024733
20	0.7436435	0.027286	0.024931	0.025754	0.025641	0.030585	0.027332	0.031297	0.026752	0.036778
21	0.756614	0.033106	0.020549	0.034601	0.026051	0.019852	0.018945	0.031869	0.03031	0.028103
22	0.7854144	0.026957	0.027744	0.023654	0.024437	0.02271	0.021103	0.021168	0.019273	0.027539
23	0.793456	0.023663	0.025487	0.022799	0.025087	0.027165	0.021596	0.017834	0.022994	0.019918
24	0.8180212	0.018876	0.021151	0.016845	0.023261	0.021499	0.021484	0.018685	0.018704	0.021473