Research Article
A Prediction Model for Energy Production in a Solar Concentrator Using Artificial Neural Networks
Table 13
W 2∈R57×19, weights for the predicted model equation.
| | 0.0168 | 0.4140 | -0.3532 | -0.5557 | 0.2175 | 1.6504 | 0.5535 | -0.5932 | -1.7914 | -0.2809 | -1.0476 | -0.9663 | -0.2275 | -0.5451 | -0.4404 | 0.7404 | -1.9131 | 0.2849 | -0.9230 | | 0.4326 | -0.2089 | 0.3911 | -0.8038 | -0.8361 | 1.0337 | -0.4212 | -1.2953 | 0.0154 | 1.4186 | -1.8400 | 0.3276 | -1.9609 | 0.7727 | 1.5841 | -0.9186 | 0.0448 | -0.9491 | -0.9139 | | 0.1259 | 0.2671 | 0.2659 | -0.4313 | -0.9032 | 0.5400 | -1.8078 | -2.2791 | 3.5035 | -1.0852 | 1.3024 | 0.6103 | -0.9251 | -1.2170 | 0.8974 | 0.2179 | 0.2808 | -0.2896 | -0.9028 | | -0.7826 | -0.2610 | 0.4796 | 0.3705 | -1.1888 | -0.0324 | -0.6355 | 0.8479 | -0.3320 | 1.3312 | 2.3311 | 0.6383 | -1.4132 | -0.6714 | 1.2362 | -1.0225 | -0.4015 | -0.8676 | -0.1926 | | -2.6145 | -0.1196 | -0.3799 | -1.1550 | 0.5026 | 0.3118 | -1.2875 | -1.5961 | -3.7943 | -1.4068 | 1.3686 | -1.4259 | -0.8367 | -1.6122 | -3.3363 | 1.1015 | -0.1580 | 1.2083 | -0.2368 | | 0.4703 | -0.7586 | 0.2257 | -0.3098 | -2.7489 | -2.3736 | 1.3143 | -0.8433 | 2.5533 | -2.1611 | 0.3192 | 2.1502 | 0.0372 | 0.4862 | 0.1163 | 0.3891 | 0.4826 | 0.6810 | -1.3415 | | 1.9828 | -6.0102 | -0.8232 | -1.1808 | -0.2196 | -0.7063 | 3.0612 | 1.5394 | 2.4925 | 3.1002 | -4.8986 | 1.1076 | -2.3362 | 1.1664 | 0.5169 | -1.5356 | -2.0841 | 1.3952 | -0.3751 | | 0.9942 | -1.8193 | 1.2231 | 0.9582 | -0.4027 | -3.2033 | -1.1897 | -1.0394 | -6.8952 | -1.8354 | 0.8233 | 1.5080 | -1.0199 | 2.5937 | 1.1030 | -0.2200 | 4.4741 | -1.1626 | -0.3425 | | -2.5459 | -1.7032 | -0.1751 | -1.6914 | 0.1540 | -3.9425 | 0.7659 | 2.0363 | -1.9714 | -0.0530 | 1.0810 | -0.7033 | -1.2260 | 0.9472 | 0.0369 | 0.8877 | -2.0219 | -0.6477 | 0.8040 | | -0.6031 | 0.5698 | 1.1199 | -2.1664 | -3.9791 | -0.1237 | 1.6305 | -0.4237 | 0.7273 | 0.2314 | 1.8237 | 0.3762 | -0.6250 | 1.2275 | 0.9620 | -0.2880 | 0.2472 | 0.9892 | 0.7058 | | -1.3507 | -0.2505 | 0.2413 | 1.7678 | 1.7722 | -0.4573 | -2.7404 | 1.1789 | 3.6584 | -1.1137 | 0.7166 | 0.0355 | 0.4211 | -0.3495 | -4.1979 | -2.3853 | -1.0354 | -2.3564 | -0.5167 | | -0.2433 | -0.8004 | -0.1159 | 0.3715 | -0.6283 | -0.2965 | -0.1382 | 1.7107 | -1.1979 | 1.3746 | -0.5526 | -0.1043 | -0.3198 | -0.5590 | 1.0838 | 0.3529 | 0.3714 | 0.9039 | -0.9588 | | -3.6676 | -0.5802 | 1.0388 | -0.6029 | 3.8635 | -2.0932 | -1.6180 | 3.7321 | -2.4577 | -1.8941 | 0.9713 | -0.0581 | 0.1376 | 2.4642 | 0.8205 | -0.0041 | -2.6379 | -1.2614 | 0.2566 | | -1.1757 | -0.1294 | -0.0819 | -0.3252 | -3.1525 | -1.2171 | 0.7808 | -0.7609 | 1.1261 | -0.8656 | 2.8729 | 0.1392 | -2.2417 | -0.0254 | 1.3138 | -1.0025 | -0.8884 | -0.8083 | 0.5002 | | -0.6125 | -1.4275 | 0.4594 | 0.1217 | 0.1143 | -1.8530 | 0.8946 | 0.7503 | 2.1847 | 0.0448 | -0.8978 | 0.5919 | 1.1908 | -0.8123 | -0.4693 | 0.1832 | 0.5579 | 0.4981 | -0.6207 | | 1.7824 | 0.7894 | -0.4780 | -0.9057 | -0.0168 | -0.3076 | -2.8106 | 1.0002 | -2.5904 | 1.6533 | -1.1558 | -3.7317 | 0.3282 | 1.7663 | 1.7737 | 2.3604 | 0.0163 | -2.5579 | -1.9850 | | -0.5473 | 0.8841 | 0.5837 | 1.8192 | -2.8241 | -2.1491 | -0.4010 | -3.3501 | 4.3437 | -1.8027 | -0.0708 | 0.3185 | 0.0098 | 0.2444 | -1.6240 | 2.0451 | 2.0787 | -1.4666 | 0.2100 | | -1.3933 | -2.2767 | -0.3282 | -1.3623 | -0.3048 | 0.3642 | -1.1205 | -3.9855 | 1.2031 | -3.0064 | 8.1735 | -2.4575 | -1.3793 | 2.8204 | -2.3829 | -4.8596 | -2.9874 | 1.2809 | 1.9211 | | -0.8380 | 0.9371 | 1.1913 | -0.6585 | 0.6266 | 3.2205 | -1.6351 | 2.7329 | -0.1919 | 2.6530 | -2.2541 | 0.8751 | 1.7806 | 0.2447 | 0.1977 | -1.8644 | 0.5014 | -0.8124 | -1.1403 | | -0.1268 | 1.8836 | 0.7803 | 4.1622 | -0.0187 | 1.3583 | 2.1018 | 1.9641 | -1.9701 | 5.2750 | 0.8237 | 3.9432 | -1.6048 | -0.8608 | 0.6858 | -0.7853 | 3.9865 | -0.9929 | 1.3348 | | -0.2345 | -0.1653 | 0.3331 | 0.5339 | -0.2963 | -0.0114 | -0.6097 | -1.0641 | -2.0138 | -1.7050 | 1.0765 | -0.2593 | 0.1493 | -0.1043 | 0.2404 | 0.2427 | -0.0562 | -0.2115 | -0.3679 | | -1.3358 | 0.3177 | -0.2832 | -1.7402 | -2.1827 | 0.3726 | -0.6352 | -0.5277 | 3.0463 | -1.4354 | 3.2703 | 0.5112 | -1.1083 | -1.9693 | 0.7877 | 0.0501 | 0.9947 | -0.8972 | -0.6900 | | -2.3813 | -0.1293 | 0.1362 | 1.9813 | 2.0154 | 4.7665 | -2.7871 | -3.0475 | 0.0255 | -2.3716 | 0.2030 | -1.0438 | -0.6885 | -3.1780 | -0.2605 | 2.0210 | -0.1844 | 2.0245 | 1.1865 | | -0.8829 | -1.3447 | -0.9976 | 0.7114 | 3.1995 | 1.5412 | -1.0619 | 1.3167 | -2.4182 | 1.8131 | -1.0763 | -1.2405 | 2.4952 | 2.3082 | 0.4093 | -0.3669 | 0.5992 | -0.9744 | 1.4073 | | 1.4073 | -1.1401 | -0.9668 | -0.9986 | -3.2524 | 4.3241 | 0.7001 | -1.0153 | 0.3307 | 2.0750 | 1.3753 | 1.8795 | 3.9929 | -2.0603 | -2.5107 | 1.3070 | -2.5195 | -4.4736 | -2.5499 | | -3.0045 | 1.4507 | -1.3947 | 1.4366 | 4.5749 | -3.7302 | -2.5100 | 0.1528 | -2.2174 | -5.3525 | 0.3405 | -3.4268 | 1.5450 | 2.1560 | -2.5349 | -1.4987 | -4.2397 | -0.2893 | -0.9222 | | 0.0159 | 0.0413 | -0.4885 | -0.3342 | 0.1621 | -0.3468 | 0.0869 | 0.4917 | 1.0514 | 2.1936 | -3.0580 | 0.1101 | 1.6100 | 0.7608 | -0.5848 | -0.6881 | 0.9364 | -0.0021 | -0.7921 | | -1.0515 | 0.0654 | 1.0839 | 1.1822 | -2.0568 | -0.3621 | -0.9795 | 2.2976 | -1.2549 | 4.5529 | 1.8581 | -0.5934 | -1.0077 | -1.4949 | 0.5451 | 1.0427 | 1.2031 | -2.6123 | -1.8019 | | 1.5227 | 3.3232 | -2.1833 | 1.2320 | 0.1076 | 1.1691 | -0.2649 | 5.8914 | -5.2274 | 3.3581 | -4.3760 | 1.7830 | 1.5918 | -5.6726 | -4.4818 | 3.7556 | 0.3148 | -4.0406 | -3.0927 | | -1.0234 | 0.8861 | -0.6917 | 0.1789 | -0.3973 | -1.0169 | 0.4403 | 0.4594 | 1.3790 | 0.1959 | 0.4392 | 0.6709 | 0.7218 | -1.4981 | -0.2463 | -1.3566 | -0.4633 | 0.6545 | 0.3963 | | -0.5652 | 0.9266 | 0.7718 | 1.5945 | 0.4159 | 0.4716 | -2.6171 | 0.2475 | -1.1889 | 1.8005 | 1.5389 | -1.5818 | 1.0619 | -1.2730 | -1.3348 | 1.6514 | 0.1631 | 1.2942 | 0.7376 | | 0.5688 | 1.3907 | 0.2839 | 1.3321 | -5.0574 | 1.9015 | 5.4786 | -1.2557 | 2.8199 | 6.5256 | -2.8765 | 5.5191 | 2.4833 | -3.4771 | -1.0902 | 2.5094 | -2.8715 | -1.7362 | -1.9350 | | 0.2033 | 0.1652 | -0.5072 | 1.6118 | -0.0381 | -0.5772 | -1.1560 | 0.1457 | 1.4834 | -1.0933 | -0.1617 | -0.9478 | -1.2269 | -0.5117 | -0.0715 | 0.2800 | -0.2193 | 0.5563 | -1.4567 | | 0.7726 | -0.7926 | 0.5121 | 1.2432 | 0.3664 | -0.6800 | -0.1229 | 2.1811 | 1.2446 | 3.1700 | -0.7849 | 1.2659 | 1.1898 | 0.1760 | -0.5708 | -0.0019 | -0.1779 | 0.9623 | -0.2580 | | -1.7014 | 0.4158 | 0.7782 | -1.8518 | -0.2551 | 0.5341 | -0.6500 | -0.8954 | -1.1211 | 0.2288 | 0.2415 | -2.3754 | -0.2243 | 3.4489 | 1.1693 | -0.2288 | 0.5946 | -1.5956 | 1.9967 | | -0.2403 | -0.8284 | -0.2994 | 0.0270 | 1.3816 | -1.6452 | -1.0083 | 1.2967 | -2.1815 | -1.0353 | 1.9453 | -1.9094 | -1.0873 | 1.8549 | -0.7359 | -0.9067 | -1.0516 | 0.4269 | -0.0115 | | 1.4473 | -0.7397 | 0.3808 | 0.1537 | 0.7274 | 0.3812 | 1.4698 | 0.6821 | 3.4593 | 2.2430 | -0.2633 | 1.3422 | -0.8858 | 0.5291 | -0.4942 | 0.4676 | -0.4358 | -1.2007 | -0.6293 | | 0.8298 | 0.0327 | -0.0960 | -1.0777 | -0.9536 | 0.6070 | 0.1209 | 0.8530 | 1.9108 | 2.2611 | -0.7547 | 0.8309 | -0.3810 | -0.0030 | 0.3955 | 1.2611 | 0.8981 | -1.0447 | -1.4159 | | 2.7936 | 1.6524 | -0.5077 | 1.2506 | 1.5363 | -0.9614 | 2.9642 | 1.0246 | 2.3236 | 2.2652 | -6.6984 | -3.6712 | -0.8126 | 0.3013 | 4.1541 | -3.8854 | -2.6627 | -2.8622 | 0.6834 | | 0.8325 | -0.2126 | 0.3173 | 0.2192 | 0.1496 | -0.5524 | -0.1819 | 0.0912 | -1.8885 | -1.3193 | -0.1640 | -0.2860 | 0.8535 | 0.3955 | -0.7556 | 0.1250 | -0.1914 | 0.5026 | -0.5328 | | -1.3107 | -0.3907 | 0.5646 | 1.8559 | -0.8059 | -0.4035 | -1.6580 | 0.5570 | -0.4382 | -1.8594 | 2.2731 | -2.1882 | -0.4269 | 0.8391 | -1.1130 | -0.1107 | -1.6199 | 1.3435 | -0.6898 | | 0.6969 | 3.1759 | 3.2817 | 3.0322 | -0.3005 | -0.0509 | 2.6469 | 2.9025 | 1.2605 | 0.7214 | -0.9130 | 4.7002 | -3.6298 | -1.2404 | 2.4243 | 2.4930 | 2.3479 | 0.7810 | -0.2996 | | -1.1004 | -0.9012 | -1.1213 | 2.1821 | -1.6955 | -4.7675 | -0.5873 | -2.4139 | 5.0740 | 3.6351 | 0.4272 | 5.4270 | 0.5835 | -0.4069 | 7.1185 | -1.0113 | -4.7735 | 5.5810 | 0.9407 | | 0.6803 | -0.4332 | -0.3080 | -0.5657 | -0.2322 | -1.3854 | 0.5734 | -0.9791 | -1.7111 | -0.5925 | 0.7224 | -0.0660 | -0.7014 | -0.1277 | 2.9791 | 1.3803 | 2.1918 | 0.9728 | 0.2682 | | 0.2923 | -2.3181 | 0.4758 | 0.4044 | 0.4313 | 0.4892 | -2.2870 | 0.9068 | -4.9332 | -1.9418 | -0.9573 | 0.9550 | -1.6582 | 1.0108 | -0.9365 | -0.2901 | -0.6203 | 0.3984 | -1.0142 | | 0.8669 | -0.4570 | -0.4521 | 0.9631 | 1.0082 | -1.4420 | 2.2242 | -0.8262 | 3.8123 | -0.6417 | -3.5136 | 3.8432 | -0.8229 | -0.0714 | -2.6244 | -3.0792 | -1.9054 | 2.8074 | 1.7360 | | 0.4694 | -0.8667 | 0.1151 | 1.3131 | 1.3520 | -0.0883 | -0.3677 | -0.4558 | -3.0970 | -3.1137 | 0.2734 | -0.1598 | -2.1642 | -1.2929 | -0.8428 | -0.6573 | -0.0301 | 0.3601 | -0.7000 | | -0.1348 | -2.3396 | 2.0569 | -0.7088 | -1.5451 | 3.2002 | 0.0944 | 0.9042 | -4.6800 | -0.3526 | -0.4449 | 0.7095 | 0.4076 | 0.9495 | -1.8529 | 1.0335 | 1.7668 | 0.9173 | 0.5535 | | 0.7098 | 1.5243 | 0.9695 | -1.1645 | -0.4052 | 3.9846 | 1.3344 | 1.8393 | -0.6159 | 6.0364 | -1.0713 | -1.2417 | -1.9463 | 1.0520 | -3.7077 | -0.9103 | 2.4292 | 1.5591 | -0.5403 | | 2.3576 | 2.0471 | -0.3406 | -3.1745 | -0.8598 | 1.0529 | 3.2710 | -5.1546 | 5.4920 | -2.5020 | -4.2358 | 1.3779 | 0.0882 | 2.1637 | -4.3613 | -1.2483 | -1.2896 | -0.0435 | -2.2588 | | 0.5298 | -4.0350 | 0.5041 | 0.7594 | -2.5770 | 2.7239 | -2.5603 | 2.9772 | -3.8390 | -0.6936 | -1.5151 | 2.1665 | 0.5058 | 0.6825 | -1.4740 | -1.5218 | -0.9341 | 1.5030 | -0.9018 | | -1.0421 | 0.7063 | 0.2716 | -0.1186 | -0.4279 | -1.5958 | 0.5868 | 0.5903 | -0.1871 | -2.3816 | 2.0184 | 2.2139 | -1.0105 | -1.0584 | 0.6481 | 0.4687 | 1.0695 | 1.1100 | -0.3824 | | -0.2142 | 0.8994 | -0.1355 | 1.1732 | 0.6988 | -3.3044 | -0.3298 | -0.0428 | 2.4912 | 1.1782 | 2.5396 | -0.4322 | 0.4746 | -1.3273 | 1.0951 | 2.3455 | -0.4579 | -0.2421 | 0.2651 | | -1.7375 | 2.3267 | -0.8081 | -0.7328 | -0.7258 | 4.3565 | 3.0734 | -0.2573 | -0.8064 | 1.8401 | -3.0427 | 0.1507 | 2.9394 | 5.5655 | 2.4423 | -1.2723 | -2.7698 | -0.3814 | -0.5938 | | 1.4150 | -0.5144 | -0.8362 | -0.6018 | 0.0339 | 0.2788 | 1.1008 | -2.1024 | -1.8093 | -4.5134 | -1.5886 | 0.1370 | 1.2274 | 1.1173 | 1.1843 | -2.3924 | 1.8965 | 2.0941 | 1.8026 | | 1.1592 | -0.4719 | -0.6174 | 0.3825 | -0.6526 | 0.4155 | -0.9561 | -0.1309 | -3.8899 | -0.2579 | -0.8846 | -0.4400 | 2.2838 | -0.2623 | 0.4106 | 0.9669 | 1.1975 | -1.2530 | -2.3579 | | 1.1580 | -1.4048 | -0.4371 | 0.8888 | 2.0079 | -1.8055 | 0.0434 | -0.9633 | 3.0032 | -1.7062 | -0.3537 | 1.0365 | -1.0484 | -0.6052 | 0.4301 | 1.1528 | 0.5745 | 0.3506 | -0.5284 |
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