Abstract and Applied Analysis

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 7

Results of case 4 (CPSO-BD-BPANN and BD-BPANN).
HourSeptember 15thSeptember 16thSeptember 17thSeptember 18thSeptember 19thSeptember 20thSeptember 21st
CPSO-BD-BPANNBD-BPANNCPSO-BD-BPANNBD-BPANNCPSO-BD-BPANNBD-BPANNCPSO-BD-BPANNBD-BPANNCPSO-BD-BPANNBD-BPANNCPSO-BD-BPANNBD-BPANNCPSO-BD-BPANNBD-BPANN
0:005.89%6.47%9.12%10.82%38.01%49.29%24.38%24.03%11.09%12.87%21.14%17.37%24.31%24.47%
0:3012.28%11.54%3.34%3.18%7.19%6.37%19.65%19.22%7.71%6.97%15.32%18.37%6.27%1.34%
1:006.04%4.70%1.94%1.33%24.44%27.91%4.61%1.86%2.57%1.59%9.17%8.00%10.25%10.23%
1:3027.92%23.44%2.71%5.14%24.32%1.02%0.29%2.37%9.17%6.75%10.60%8.29%10.82%8.05%
2:0014.64%15.38%2.93%0.77%10.55%20.77%6.80%3.59%6.74%5.06%7.38%7.24%18.78%28.54%
2:307.92%9.38%10.47%12.48%45.44%28.57%6.44%6.58%1.37%0.31%5.27%12.40%3.90%6.00%
3:000.65%3.05%8.07%9.95%30.82%157.45%4.03%0.32%8.71%5.12% 12.89%1.13%3.50%
3:306.53%14.88%3.57%6.88%8.49%8.17%4.85%2.17%13.70%11.29%5.08%4.50%10.26%5.11%
4:005.69%2.62%16.58%11.11%8.77%14.59%2.68%4.70%6.82%4.31%4.71%4.04%3.50%1.14%
4:309.16%6.34%3.76%3.74%6.98%12.39%6.06%5.09%13.87%15.43%7.60%6.05%4.73%3.50%
5:0026.52%29.04%7.63%5.61%39.20%39.81%1.12%1.70%0.96%2.04%7.45%5.37%21.05%21.75%
5:3017.75%10.57%10.45%8.88%45.89%43.71%2.10%1.49%2.53%2.14%4.13%0.64%3.45%4.82%
6:0011.86%5.99%9.41%8.52%26.50%11.29%2.40%3.04%9.52%12.08%5.16%4.38%0.36%0.56%
6:301.85%9.14%10.66%11.85%16.89%11.88%29.32%27.94%11.41%13.86%13.99%11.41%6.37%4.31%
7:008.43%10.06%7.43%3.20%17.99%18.09%25.38%26.96%6.25%8.32%4.38%4.88%0.31%2.37%
7:302.03%11.82%3.41%3.28%6.05%2.69%13.10%7.30%26.66%20.51%10.77%13.24%12.64%14.55%
8:0011.58%1.70%19.16%15.89%2.23%1.17%3.59%2.33%6.24%13.97%0.78%1.07%18.74%18.12%
8:305.16%6.26%33.34%29.58%5.20%3.24%0.61%0.72%3.91%1.03%12.98%11.25%7.72%16.12%
9:0015.61%17.09%0.86%2.95%0.37%11.89%4.35%3.74%12.03%7.08%45.91%41.99%16.27%14.89%
9:307.76%8.32%25.82%20.82%4.24%3.62%2.22%0.66%4.38%2.85%42.98%88.77%2.20%0.28%
10:005.25%4.92%0.12%5.59%0.24%0.57%6.15%10.05%2.55%5.01%15.24%7.51%10.38%8.83%
10:3013.22%17.92%0.67%0.38%4.12%10.09%19.27%18.98%2.57%2.90%2.12%22.74%10.85%3.24%
11:0013.18%15.42%9.85%6.12%11.56%11.73%6.36%5.90%4.44%9.69%6.84%2.00%9.55%12.77%
11:3035.03%33.29%11.03%7.06%0.11%1.51%0.19%1.04%13.12%9.93%16.27%6.53%9.72%4.49%
12:0010.88%20.25%2.89%0.72%7.92%11.08%5.37%6.19%2.10%1.37%8.57%4.95%15.08%8.66%
12:308.75%14.28%3.13%1.86%6.87%7.92%10.27%10.16%6.05%7.89%15.56%18.96%13.37%8.47%
13:002.34%0.14%14.44%10.74%7.29%5.48%2.12%2.27%8.66%6.53%24.46%23.35%18.51%
13:301.78%8.98%19.81%20.03%1.95%2.03%8.43%10.52%7.76%6.05%0.44%1.26%7.78%1.85%
14:001.07%4.08%7.40%1.99%3.23%0.08%10.86%9.11%4.82%4.69%0.29%2.15%4.44%3.95%
14:300.39%3.63%4.04%4.08%1.19%7.44%2.24%4.27%18.04%16.42%0.08%4.57%6.90%1.72%
15:0010.36%13.00%1.35%1.86%18.42%18.20%0.98%1.20%21.41%21.38%12.01%7.41%1.12%5.40%
15:3019.09%21.78%1.53%4.93%1.09%1.03%6.13%4.06%8.67%1.75%2.88%7.01%11.62%5.91%
16:003.93%3.47%6.78%5.13%16.17%16.66%13.39%11.58%9.55%6.26%14.71%12.20%5.66%0.73%
16:304.37%5.95%8.88%11.12%6.43%7.19%6.39%8.17%3.14%2.03%3.21%1.60%8.81%3.25%
17:0014.36%12.53%7.26%5.85%13.74%12.73%11.48%13.18%1.61%3.56%5.26%0.26%10.91%3.15%
17:309.40%10.90%18.50%22.53%20.59%18.95%4.59%4.69%6.24%8.06%11.85%11.74%7.97%0.90%
18:0013.14%13.02%42.96%45.48%4.40%7.14%1.94%7.18%3.05%1.98%21.93%18.92%28.97%21.73%
18:300.19%0.46%2.90%20.41%18.36%13.48%2.58%1.34%1.23%3.53%14.28%13.48%40.21%31.12%
19:0016.98%15.98%17.21%8.47%20.24%34.81%2.27%0.23%23.27%19.89%4.24%1.98%8.02%6.99%
19:300.93%1.95%16.45%15.46%1.93%1.35%0.42%0.43%10.05%10.76%19.76%22.22%2.09%19.19%
20:0010.60%5.50%21.41%10.00%15.95%9.62%1.94%2.19%3.10%3.86%6.69%10.93%5.61%1.38%
20:309.90%12.03%8.88%0.21%7.67%15.96%4.65%5.04%7.05%8.92%5.52%2.27%3.74%6.84%
21:000.61%0.79%14.80%5.02%6.32%5.33%28.73%27.86%9.29%9.20%8.88%8.97%5.77%0.85%
21:3026.72%24.85%5.86%13.87%2.05%4.87%10.63%9.59%2.21%2.98%11.21%10.84%1.10%0.50%
22:007.31%9.89%7.52%16.26%8.62%10.44%19.68%17.82%27.53%27.53%43.17%39.62%10.09%6.06%
22:3016.30%14.81%0.19%7.47%17.11%24.27%17.60%10.29%14.75%20.32%12.12%11.62%8.43%13.85%
23:0017.07%17.70%41.61%45.33%15.23%11.43%21.12%18.61%23.00%21.03%29.48%34.99%19.69%19.85%
23:3011.12%12.03%17.55%32.87%6.37%3.65%6.76%1.91%6.73%5.94%2.01%7.32%26.69%43.43%
Mean10.20% 10.99%10.54% 10.56%12.81% 15.60%8.26%7.70% 8.70%8.40% 11.81% 12.49%10.34%9.27%
Std.7.82%7.51%9.88%10.42%11.79%23.83%7.97%7.73%6.76%6.54%10.68%14.72%8.20%9.38%