Research Article

A Hybrid Forecasting Model Based on Bivariate Division and a Backpropagation Artificial Neural Network Optimized by Chaos Particle Swarm Optimization for Day-Ahead Electricity Price

Table 8

Results of case 5 (CPSO-BD-BPANN and BD-BPANN).

HourDecember 8thDecember 9thDecember 10thDecember 11thDecember 12thDecember 13thDecember 14th
CPSO-BD-BPANNBD-BPANNCPSO-BD-BPANNBD-BPANNCPSO-BD-BPANNBD-BPANNCPSO-BD-BPANNBD-BPANNCPSO-BD-BPANNBD-BPANNCPSO-BD-BPANNBD-BPANNCPSO-BD-BPANNBD-BPANN

0:000.06%2.22%25.83%20.87%0.74%0.85%10.04%12.65%1.05%2.23%15.97%6.53%11.35%13.42%
0:303.23%3.75%19.02%23.10%0.30%3.02%0.72%0.06%1.91%6.00%0.38%4.70%11.28%10.72%
1:0013.77%13.21%17.97%22.59%2.87%3.66%3.17%9.29%5.60%2.32%5.12%3.04%8.80%10.49%
1:3018.51%21.32%20.64%34.43%15.47%11.02%8.96%7.69%16.17%15.99%21.03%12.86%20.02%25.06%
2:004.81%2.02%14.35%3.23%21.42%15.07%11.87%14.41%14.56%16.75%12.51%13.34%6.37%10.18%
2:300.72%0.52%3.54%5.71%0.44%0.77%5.56%7.42%7.96%9.94%1.20%0.72%0.34%4.70%
3:0010.48%9.16%7.70%4.08%9.41%6.50%7.24%8.00%2.23%2.28% 0.17%112.46%125.60%
3:302.62%4.99%6.51%3.62%6.48%8.27%1.60%1.03%11.53%10.55%1.50%1.17%74.26%59.22%
4:001.56%3.58%9.30%11.10%12.43%10.73%16.86%14.36%11.29%8.15%4.54%0.99%29.06%21.51%
4:301.20%1.01%18.14%12.81%20.53%18.80%20.18%20.98%21.04%17.66%0.15%5.28%12.91%7.55%
5:0033.17%35.00%8.63%11.47%15.06%15.26%1.03%1.32%6.17%2.67%13.91%17.84%16.63%25.87%
5:3015.38%1.07%3.24%2.02%7.46%7.35%5.93%4.75%0.97%0.90%6.73%5.51%4.46%12.96%
6:009.02%2.91%10.52%10.93%0.71%1.37%7.78%4.26%2.48%1.23%21.07%18.85%15.39%22.02%
6:306.91%11.86%3.24%6.86%12.79%10.68%9.38%10.01%21.02%21.14%8.53%5.27%17.40%14.60%
7:004.28%4.40%3.72%5.02%7.84%4.69%13.71%14.37%7.94%7.16%3.53%5.37%20.89%19.65%
7:300.08%4.77%6.39%4.01%2.05%4.64%5.01%0.58%6.24%4.78%6.44%8.03%7.44%11.15%
8:0014.76%18.51%3.79%5.93%1.11%2.83%8.81%7.04%6.47%5.57%0.37%4.56%7.22%6.89%
8:304.92%0.76%0.96%0.63%5.99%6.13%3.80%7.19%4.24%7.60%5.25%7.04%7.65%10.99%
9:002.29%7.34%1.46%2.34%1.65%4.86%0.87%3.41%8.87%4.50%3.38%8.50%2.06%0.32%
9:301.74%4.21%4.91%3.44%0.62%3.25%5.44%5.62%3.04%2.48%13.13%19.49%1.82%0.31%
10:001.46%3.94%4.48%4.21%2.12%1.72%3.64%6.00%1.05%1.44%23.64%11.59%2.72%0.25%
10:304.15%6.26%7.52%7.08%2.82%0.96%0.26%2.58%5.33%8.72%9.26%4.55%1.45%3.45%
11:004.25%6.17%13.80%12.35%4.07%3.38%2.27%4.20%5.59%6.60%0.77%3.44%2.86%5.01%
11:305.16%5.46%5.55%9.08%2.35%1.24%5.42%8.48%9.11%13.60%4.41%10.46%4.75%1.89%
12:001.77%2.73% 2.49%4.69%3.08%4.20%7.52%5.62%7.72%0.44%5.57%1.05%1.45%
12:3012.29%11.07%5.68%3.15%2.82%3.10%11.28%8.23%5.60%1.52%4.52%7.67%1.67%2.32%
13:0018.26%21.00%0.84%0.51%2.27%0.78%2.82%5.28%8.41%6.12%1.04%6.31%1.62%
13:308.59%1.79%3.35%3.75%16.48%18.46%1.92%0.79%11.38%9.09%0.13%7.95%0.52%1.29%
14:004.34%5.41%0.80%1.29%2.56%3.53%3.97%8.53%10.53%11.64%4.30%10.51%1.23%2.89%
14:305.54%4.65%2.05%0.17%6.45%7.27%1.16%4.09%2.67%0.37%4.01%9.69%2.25%3.25%
15:005.26%5.65%17.18%16.76%2.81%4.03%2.13%5.38%0.95%3.09%10.67%15.61%1.17%1.44%
15:303.89%4.15%7.28%3.61%1.92%3.48%8.72%4.79%5.24%1.82%5.70%12.24%2.36%3.15%
16:003.10%1.28%9.41%7.49%2.79%4.74%2.22%4.85%2.07%0.20%10.17%3.74%2.17%2.30%
16:304.99%3.73%3.47%4.69%1.46%3.10%12.60%8.93%2.81%2.61%0.07%5.94%1.26%1.74%
17:000.25%0.46%0.16%1.98%22.82%21.97%5.72%4.60%5.29%3.74%0.49%6.20%3.05%3.32%
17:301.66%0.36%14.73%14.39%2.16%2.18%7.04%8.26%3.78%6.06%5.85%1.92%2.07%2.06%
18:000.72%0.53%12.37%9.83%5.57%5.65%2.72%5.49%4.37%1.84%3.67%7.56%0.17%0.92%
18:3011.52%10.76%5.00%5.64%2.88%3.42%0.69%1.29%2.41%0.58%3.22%7.98%1.52%2.30%
19:008.84%3.62%21.07%19.66%20.72%21.37%15.52%17.62%3.60%0.25%2.59%7.34%0.96%1.40%
19:307.05%6.03%6.94%3.12%2.16%1.94%2.70%3.55%2.30%0.73%3.38%9.06%4.67%6.20%
20:0012.29%12.06%13.50%9.80%12.70%13.59%4.00%3.45%0.26%3.79%2.10%7.33%6.99%7.77%
20:306.76%2.07%23.08%21.85%2.40%3.77%19.12%17.11%3.28%5.75%3.74%2.19%1.56%2.33%
21:002.40%1.71%4.71%4.16%5.89%4.97%12.86%11.21%3.31%1.43%1.62%3.73%6.97%6.40%
21:308.58%9.48%1.17%2.91%7.04%4.60%6.83%10.16%10.23%12.69%9.27%2.27%2.83%1.87%
22:0023.58%17.80%10.44%10.75%13.89%13.30%11.97%8.87%19.88%18.23%10.96%16.63%4.24%1.74%
22:300.49%9.81%12.83%13.39%11.89%8.76%0.65%0.76%1.99%4.35%2.11%6.38%23.70%26.04%
23:0030.04%29.16%4.91%8.33%23.37%25.18%3.00%3.33%4.19%0.80%3.65%8.03%27.28%26.95%
23:302.51%13.37%2.37%1.44%4.13%4.05%2.63%1.26%3.22%5.12%0.80%5.87%1.08%4.72%

Mean7.28% 7.36%8.43%8.29% 7.05%6.95% 6.38% 6.90%6.36%6.04% 5.82% 7.44%10.46% 11.24%
Std.7.49%7.54%6.73%7.34%6.74%6.20%5.13%4.81%5.22%5.38%5.83%4.72%19.40%20.00%