Research Article
A New Optimization Approach for Maximizing the Photovoltaic Panel Power Based on Genetic Algorithm and Lagrange Multiplier Algorithm
Table 6
A comparison between the GA and Lagrange multiplier algorithm.
| Hour | Genetic algorithm solution | Lagrange multiplier algorithm results |
Error in optimal tilt angle |
Error in optimal power | | | | |
| 6:10 AM |
75.7500
|
19.8773
|
75.8114
|
19.8774
| −0.0614 | | 7:00 AM |
63.4998
|
50.0546
|
63.4993
|
50.0486
|
0.0005
|
0.006
| 8:00 AM |
47.2500
|
84.8483
|
47.3668
|
84.8485
| −0.1168 | −0.0002 | 9:00 AM |
36.9459
|
137.1025
|
36.8401
|
137.1174
|
0.1058
| −0.0149 | 10:00 AM |
28.2500
|
182.8460
|
28.2483
|
182.8456
|
0.0017
|
0.0004
| 11:00 AM |
19.2309
|
225.0597
|
19.2598
|
225.0807
| −0.0289 | −0.021 | 12:00 PM |
13.0219
|
226.6207
|
13.0221
|
226.6537
| −0.0002 | −0.033 | 1:00 PM |
19.3121
|
217.1806
|
19.2598
|
217.1956
|
0.0523
| −0.015 | 2:00 PM |
28.2298
|
194.0017
|
28.2483
|
194.0071
| −0.0185 | −0.0054 | 3:00 PM |
36.7493
|
153.7899
|
36.8401
|
153.8525
| −0.0908 | −0.0626 | 4:00 PM |
47.7500
|
98.8123
|
47.3668
|
98.8142
|
0.3832
| −0.0019 | 5:00 PM |
63.5000
|
56.5923
|
63.4993
|
56.5563
|
0.0007
|
0.036
| 5:50 PM |
75.8125
|
20.2942
|
75.8114
|
20.2752
|
0.0011
|
0.019
|
|
|