A Hybrid Forecasting Model Based on Empirical Mode Decomposition and the Cuckoo Search Algorithm: A Case Study for Power Load

Table 4

Comparison of power load forecasting evaluation by using different methods from Feb. 2 to Mar. 1.

Time	BPNN			GABPNN			WNN			CSAWNN			EMD-CSAWNN			ARIMA
	MAE	MAPEE (%)	RMSE	MAE	MAPE (%)	RMSE	MAE	MAPE (%)	RMSE	MAE	MAPE (%)	RMSE	MAE	MAPE (%)	RMSE	MAE	MAPE (%)	RMSE
Feb. 2	334.27	4.22	211.53	304.59	3.85	196.98	278.96	3.55	233.05	280.07	3.55	186.08	190.32	2.41	130.64	344.95	4.40	225.97
Feb. 3	126.81	1.70	126.63	96.89	1.29	125.59	114.76	1.55	116.64	92.33	1.25	127.49	100.06	1.35	78.43	184.62	2.48	128.64
Feb. 4	115.99	1.67	117.88	106.40	1.53	121.43	121.62	1.75	135.78	89.46	1.30	116.67	100.59	1.46	85.54	97.21	1.40	134.84
Feb. 5	62.90	0.93	209.87	55.75	0.82	177.65	73.07	1.09	141.15	83.43	1.26	142.02	63.85	0.96	115.75	88.74	1.32	169.61
Feb. 6	71.29	1.07	205.84	57.27	0.85	165.60	70.96	1.06	139.43	81.86	1.24	185.20	57.25	0.85	98.40	88.15	1.32	184.44
Feb. 7	84.41	1.21	226.10	60.33	0.86	198.48	86.40	1.24	285.05	82.14	1.19	203.72	75.10	1.07	175.72	121.60	1.75	211.26
Feb. 8	130.54	1.71	123.10	101.31	1.33	145.93	142.19	1.85	123.60	128.98	1.70	120.03	65.08	0.87	67.65	262.37	3.47	124.33
Feb. 9	118.07	1.43	150.69	108.27	1.31	146.03	115.14	1.38	169.23	104.84	1.28	134.63	70.86	0.84	97.30	107.14	1.31	180.04
Feb. 10	107.55	1.21	161.91	96.10	1.06	139.39	128.24	1.48	156.85	123.78	1.39	142.14	61.45	0.69	96.35	145.55	1.70	182.63
Feb. 11	93.31	1.01	192.90	111.84	1.17	177.37	95.98	1.03	172.67	118.18	1.29	219.21	53.49	0.58	83.04	118.46	1.30	221.91
Feb. 12	109.95	1.14	226.38	104.93	1.08	194.03	100.88	1.04	209.32	130.04	1.34	221.86	37.33	0.39	98.76	89.20	0.91	236.75
Feb. 13	81.85	0.82	253.47	58.74	0.59	231.68	92.82	0.94	249.81	79.82	0.79	243.81	43.70	0.44	127.79	61.35	0.62	310.47
Feb. 14	64.30	0.62	141.32	52.72	0.51	124.09	73.70	0.71	152.33	69.55	0.66	124.22	35.49	0.35	66.87	58.42	0.56	176.15
Feb. 15	55.99	0.56	99.81	39.82	0.40	93.03	50.17	0.49	102.20	55.17	0.55	120.02	32.92	0.33	57.69	47.36	0.46	118.80
Feb. 16	79.41	0.77	157.56	66.18	0.63	151.21	71.83	0.66	174.28	61.84	0.60	147.61	40.62	0.39	151.27	63.28	0.60	183.95
Feb. 17	82.06	0.77	116.51	59.34	0.55	147.71	82.63	0.73	128.10	56.92	0.54	131.90	46.33	0.41	97.02	54.36	0.50	142.02
Feb. 18	77.09	0.71	134.92	60.71	0.57	123.87	72.46	0.68	123.32	46.97	0.45	129.04	57.85	0.53	91.79	66.87	0.62	148.78
Feb. 19	96.09	0.89	132.50	87.60	0.82	129.83	99.07	0.92	132.46	83.92	0.79	132.63	58.39	0.52	83.16	71.12	0.68	171.76
Feb. 20	96.07	0.88	146.61	90.49	0.84	140.51	93.47	0.87	132.77	68.44	0.66	104.60	87.30	0.77	93.94	52.59	0.49	148.44
Feb. 21	97.27	0.88	186.13	82.81	0.74	185.30	107.84	0.98	192.47	76.45	0.69	179.31	77.07	0.70	48.00	95.04	0.87	263.72
Feb. 22	131.13	1.28	111.39	109.41	1.11	105.24	128.56	1.26	117.27	93.69	0.95	93.12	61.20	0.61	53.84	138.42	1.38	105.10
Feb. 23	103.86	0.98	132.92	74.92	0.72	150.01	93.02	0.92	168.00	89.48	0.86	173.36	62.09	0.62	93.66	113.45	1.17	163.20
Feb. 24	156.24	1.59	122.25	146.41	1.49	148.16	132.83	1.34	139.12	146.53	1.45	117.79	67.67	0.70	94.62	135.60	1.37	150.05
Feb. 25	152.98	1.59	125.02	146.55	1.51	144.41	162.06	1.67	120.09	146.17	1.50	126.54	99.86	1.05	87.54	174.77	1.82	152.51
Feb. 26	177.81	1.94	128.21	153.29	1.66	118.80	183.35	2.00	157.75	188.12	2.06	141.24	69.22	0.76	82.76	188.15	2.05	192.72
Feb. 27	162.42	1.84	145.73	184.00	2.08	110.68	191.75	2.19	162.54	173.50	1.95	122.48	67.46	0.77	110.58	177.14	2.01	159.88
Feb. 28	100.06	1.18	147.69	120.10	1.41	122.11	106.96	1.25	150.10	96.13	1.12	132.03	55.77	0.64	90.29	121.94	1.43	174.16
Mar. 1	102.17	1.27	104.78	90.90	1.13	74.49	85.07	1.06	92.83	92.96	1.16	101.33	58.62	0.73	62.75	184.40	2.27	111.80
Maximum value	334.27	4.22	253.47	304.59	3.85	231.68	278.96	3.55	285.05	280.07	3.55	243.81	190.32	2.41	175.72	344.95	4.40	310.47
Minimum value	55.99	0.56	99.81	39.82	0.40	74.49	50.17	0.49	92.83	46.97	0.45	93.12	32.92	0.33	48.00	47.36	0.46	105.10
Average value	113.28	1.28	160.39	100.99	1.14	150.09	112.71	1.27	162.30	105.03	1.20	152.07	67.75	0.78	97.62	123.29	1.44	180.03