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.

HourGenetic algorithm solutionLagrange 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