Table 3.

Prediction errors obtained with the multivariate model (active energy, reactive energy, temperature, and humidity).

Hours	LSTM		GRU		EMD–LSTM		EMD–GRU		CEEMD–LSTM		CEEMD–GRU
Ahead	RMSE	MAPE	RMSE	MAPE	RMSE	MAPE	RMSE	MAPE	RMSE	MAPE	RMSE	MAPE
1	54.83	3.22	48.74	2.93	40.29	2.60	40.14	2.58	37.66	2.42	38.66	2.44
2	71.65	3.88	60.79	3.38	46.62	2.96	45.75	2.93	42.82	2.72	43.92	2.80
3	80.69	4.39	72.43	3.96	52.14	3.31	50.95	3.23	47.20	2.97	48.40	3.06
4	86.52	4.81	84.14	4.68	55.06	3.50	53.91	3.43	49.97	3.22	52.55	3.30
5	90.03	5.04	90.72	5.05	56.75	3.62	55.98	3.55	51.71	3.36	54.26	3.43
6	93.37	5.32	92.22	5.20	57.80	3.66	56.76	3.60	52.99	3.43	55.79	3.53
7	96.37	5.65	95.16	5.48	58.48	3.74	57.23	3.65	53.66	3.52	56.40	3.58
8	98.52	5.85	97.51	5.76	59.98	3.81	57.43	3.63	54.80	3.56	58.62	3.73
9	100.46	6.10	98.23	6.00	62.21	3.95	59.49	3.71	56.17	3.60	61.97	3.95
10	100.61	6.22	98.46	6.12	64.16	4.02	60.83	3.81	58.37	3.67	63.90	4.03
11	101.52	6.36	98.36	6.22	65.88	4.11	61.30	3.81	59.98	3.69	64.69	4.03
12	100.87	6.37	97.08	6.20	64.91	4.07	63.10	3.86	59.56	3.67	64.75	4.04
13	99.39	6.33	95.51	6.19	64.92	4.11	62.44	3.80	58.66	3.62	64.56	4.03
14	97.44	6.24	93.49	6.15	63.93	4.03	63.32	3.87	57.05	3.52	64.85	4.02
15	94.16	6.01	90.80	5.91	62.53	3.94	60.50	3.73	55.38	3.48	65.28	4.08
16	92.69	5.88	88.76	5.70	62.10	3.95	60.19	3.78	54.54	3.46	65.64	4.11
17	90.98	5.71	87.83	5.54	61.21	3.94	58.52	3.72	54.69	3.52	65.82	4.14
18	88.92	5.54	85.75	5.33	60.09	3.87	58.59	3.77	55.08	3.55	66.11	4.16
19	86.35	5.30	82.27	5.04	59.61	3.84	59.12	3.84	56.11	3.62	65.06	4.13
20	83.63	5.06	78.16	4.75	58.85	3.82	59.79	3.86	57.31	3.70	61.85	3.94
21	78.55	4.71	73.38	4.47	58.34	3.82	60.23	3.94	58.80	3.81	60.88	3.93
22	72.47	4.24	68.99	4.16	58.13	3.83	60.96	3.98	61.08	3.96	62.39	4.01
23	74.18	4.30	69.94	4.14	58.56	3.80	63.10	4.11	63.30	4.06	64.58	4.19
24	77.10	4.50	74.32	4.37	59.55	3.87	65.12	4.21	64.48	4.09	66.39	4.24
Mean	87.97	5.29	84.29	5.11	58.84	3.76	58.11	3.68	55.06	3.51	59.89	3.79
Std	11.89	0.88	13.35	0.94	5.83	0.36	5.69	0.35	6.06	0.38	7.53	0.47