Long-Term Optimal Operation of the Cascade Hydro-Wind-Photovoltaic Hybrid System considering Transmission Section Constraints

Table 6

Monthly statistical table of BP neural network fitting evaluation indicators.

Month	Nodes of hidden layer	Stations	Training period				Validation period
			MAE	RMSE	MAPE (%)	R^2	MAE	RMSE	MAPE (%)	R^2
1	4	HJD	7343.27	9888.30	2.72	0.9510	9868.81	11235.80	3.85	0.9523
		DF	1515.23	2256.40	1.87	0.9013	3454.02	5556.58	4.71	0.6008
		WJD	1512.01	3670.23	0.79	0.9731	3473.33	6973.19	1.78	0.9181
		GPT	749.96	933.57	0.13	0.9689	5212.69	11925.32	1.10	0.9984
2	7	HJD	7370.13	15531.24	3.39	0.8668	7532.01	11520.45	3.41	0.9294
		DF	2420.64	5082.89	4.04	0.6736	2178.51	3233.08	3.52	0.9051
		WJD	3905.10	9683.58	2.40	0.9107	2363.47	3788.38	1.34	0.9921
		GPT	3458.80	9548.80	0.71	0.9706	3323.92	8348.10	0.77	0.9993
3	4	HJD	10295.66	13136.19	5.35	0.9398	11708.99	15613.18	6.92	0.9373
		DF	6443.37	7722.20	14.62	0.2546	4405.56	5154.32	9.64	0.7156
		WJD	7855.90	10663.55	6.25	0.8767	10996.12	16925.60	8.98	0.7593
		GPT	6406.81	12013.30	1.38	0.9789	5705.77	10753.46	1.28	0.9949
4	5	HJD	7837.02	11885.78	4.41	0.9663	3994.49	4680.22	2.64	0.9957
		DF	5530.64	6187.73	12.59	0.2802	5378.84	6257.10	11.40	0.4017
		WJD	4029.19	7090.62	4.64	0.5780	5019.96	6953.58	5.65	0.7086
		GPT	7306.24	12394.94	1.71	0.9911	13561.15	18757.57	3.07	0.9923
5	6	HJD	5530.54	7709.83	2.70	0.9895	3563.33	4071.04	1.90	0.9975
		DF	174.69	174.69	0.47	1.0000	174.69	174.69	0.47	1.0000
		WJD	8775.56	11221.15	7.55	0.8417	6046.07	8501.42	4.91	0.9526
		GPT	14967.01	17235.99	3.37	0.9898	17584.46	20323.67	3.96	0.9910
6	5	HJD	7361.72	10703.27	2.55	0.9820	5252.36	6485.38	2.20	0.9944
		DF	174.69	174.69	0.47	1.0000	174.69	174.69	0.47	1.0000
		WJD	6163.95	7669.59	3.75	0.9521	6767.95	11523.30	4.92	0.9430
		GPT	13384.71	14931.75	2.75	0.9911	13158.70	15270.14	2.77	0.9926
7	7	HJD	14619.71	20091.75	3.91	0.8932	7091.16	8910.28	1.89	0.9852
		DF	2480.82	4023.15	5.62	0.4681	2650.61	3888.85	5.85	0.5385
		WJD	8314.31	11135.58	4.86	0.8997	10472.84	16800.58	6.79	0.7846
		GPT	7924.86	9840.08	1.51	0.9785	11253.50	13710.32	2.23	0.9746
8	6	HJD	9449.84	23694.15	2.50	0.7855	11732.31	16886.20	2.91	0.8895
		DF	659.29	1365.47	1.14	0.8173	690.11	1052.77	1.14	0.8252
		WJD	2122.09	6590.93	1.00	0.9143	942.59	1257.95	0.45	0.9988
		GPT	4864.71	19465.84	0.89	0.4081	4044.87	9183.53	0.82	0.9910
9	5	HJD	10277.33	17022.47	2.49	0.7438	11723.93	17257.97	2.87	0.8952
		DF	372.46	688.15	0.43	0.8363	1025.28	3005.91	1.35	0.6048
		WJD	1377.96	2653.36	0.70	0.9777	4122.58	9908.35	2.25	0.8348
		GPT	4276.37	8546.43	0.84	0.9689	3947.19	5540.34	0.85	0.9972
10	5	HJD	9943.69	13059.44	2.37	0.8760	12313.83	16970.51	2.94	0.8420
		DF	400.21	648.39	0.46	0.8551	335.42	539.87	0.41	0.9918
		WJD	712.96	726.79	0.33	0.7019	522.53	568.40	0.24	0.9989
		GPT	2727.41	4781.08	0.51	0.9990	4963.96	9519.68	1.07	0.9825
11	6	HJD	7441.04	9388.50	1.89	0.9376	8864.01	11196.54	2.32	0.9479
		DF	474.96	638.54	0.55	0.8238	663.89	967.46	0.78	0.7012
		WJD	1103.17	1289.68	0.52	0.7322	784.48	952.37	0.37	0.8084
		GPT	2068.42	4341.12	0.39	0.9970	4526.20	9092.79	0.98	0.9990
12	5	HJD	9997.12	13726.75	3.09	0.9201	14946.64	22144.63	4.25	0.8490
		DF	540.30	979.13	0.64	0.3539	1015.14	1577.72	1.22	0.7352
		WJD	1269.88	2322.73	0.60	0.3945	2196.76	3836.74	1.08	0.9598
		GPT	2109.08	2930.55	0.38	0.2533	7955.16	15062.24	1.55	0.6986