angulo optimo de inclinacion

7/26/2019 Angulo Optimo de Inclinacion

1/46

UBICACIN= PUCALPATEMPORADALATITUD 8.3929EVALUAMOS

(KJ/m2)= 11!!

!.18

A"#$%&' DECLINACION SOLAR *

+ -20.9169625745 70.750932 91.29840265161! -20.9169625745 70.750932 89.38559004771+ -20.9169625745 70.750932 87.46266986482! -20.9169625745 70.750932 85.49740837582+ -20.9169625745 70.750932 83.45457047443! -20.9169625745 70.750932 81.29313155923+ -20.9169625745 70.750932 78.9624776254,! -20.9169625745 70.750932 76.3967284746,+ -20.9169625745 70.750932 73.5055873147+! -20.9169625745 70.750932 70.1584810338++ -20.9169625745 70.750932 66.1547508839

- A'%0& #m&


2/46

RB RADIO 4!(J/m2) KT 4/4 4/4

1.1216917 1.0328778 31378892 0.5449523 0.3491459 0.3980761

1.0755874 1.0325123 31367786 0.5451453 0.3489726 0.3979045

1.0212974 1.031906 31349367 0.5454656 0.3486851 0.3976198

0.9592346 1.0310635 31323771 0.5459113 0.3482852 0.3972237

0.8898714 1.029991 31291189 0.5464797 0.3477755 0.3967189

0.8137358 1.0286964 31251861 0.5471674 0.3471595 0.3961085

0.7314072 1.0271895 31206079 0.5479702 0.3464413 0.3953965

0.6435122 1.0254812 31154181 0.548883 0.3456257 0.3945875

0.5507196 1.0235842 31096551 0.5499002 0.3447181 0.3936869

0.4537792 1.0215127 31033617 0.5510154 0.3437247 0.3927006

0.355662 1.0192818 30965845 0.5522213 0.3426522 0.3916351


3/46

4(KJ/m2) 45

5970.3954 11129.605 18.4479008

5967.4321 11132.568 17.9156371

5962.5148 11137.485 17.2793152

5955.6761 11144.324 16.5434555

5946.9613 11153.039 15.7133002

5936.4281 11163.572 14.7947838

5924.1467 11175.853 13.7944992

5910.1992 11189.801 12.7196581

5894.6793 11205.321 11.5780486

5877.692 11222.308 10.3784748

5859.3529 11240.647 9.15482934

4T(MJ/m6)


4/46

UBICACIN=TEMPORADA

8.3929EVALUAMOS

(KJ/m2)= 11!!

!.18

A"#$%&' DECLINACION SOLAR *+ -12.9546080938 78.555429 90.78141975541! -12.9546080938 78.555429 89.63021300411+ -12.9546080938 78.555429 88.47318957052! -12.9546080938 78.555429 87.29183023152+ -12.9546080938 78.555429 86.06601141983! -12.9546080938 78.555429 84.77254192983+ -12.9546080938 78.555429 83.3832216943

,! -12.9546080938 78.555429 81.8620420123,+ -12.9546080938 78.555429 80.1608684952+! -12.9546080938 78.555429 78.2123756688++ -12.9546080938 78.555429 75.9177583715

- "7 ':=


5/46

RB RADIO 4!(J/m2) KT 4/4 4/41.0795578 1.0328778 34951110 0.4892548 0.4017043 0.4493161

1.0512136 1.0325123 34938740 0.4894281 0.4015319 0.4491504

1.014869 1.031906 34918224 0.4897156 0.4012458 0.4488756

0.9708006 1.0310635 34889715 0.4901158 0.4008479 0.4484933

0.9193438 1.029991 34853423 0.4906261 0.400341 0.4480061

0.8608903 1.0286964 34809618 0.4912435 0.3997285 0.4474172

0.7958849 1.0271895 34758624 0.4919642 0.3990144 0.4467305

0.7248223 1.0254812 34700818 0.4927838 0.3982038 0.4459506

0.6482434 1.0235842 34636628 0.493697 0.3973021 0.4450826

0.5667452 1.0215127 34566529 0.4946982 0.3963156 0.4441325

0.4816727 1.0192818 34491041 0.4957809 0.395251 0.4431066


6/46

4(KJ/m2) 45 4T6869.1436 10230.856 17.906732

6866.1949 10233.805 17.595334

6861.3024 10238.698 17.187782

6854.4991 10245.501 16.686962

6845.831 10254.169 16.09643

6835.3565 10264.643 15.420394

6823.1469 10276.853 14.663688

6809.2852 10290.715 13.831748

6793.8664 10306.134 12.930574

6776.9965 10323.003 11.966845

6758.7921 10341.208 10.955082


7/46

UBICACIN=TEMPORADA

8.3929EVALUAMOS

(KJ/m2)= 11!!

!.18


,! -2.4177348051 87.912839 88.5111353367,+ -2.4177348051 87.912839 88.2026052119+! -2.4177348051 87.912839 87.8511197227++ -2.4177348051 87.912839 87.4403120845

- "7 ':=


8/46

RB RADIO 4!(J/m2) KT 4/4 4/41.0227139 1.0328778 37988770 0.450133 0.4423936 0.4879927

1.0183302 1.0325123 37975324 0.4502924 0.4422203 0.4878295

1.0061963 1.031906 37953025 0.450557 0.4419327 0.4875589

0.9864046 1.0310635 37922038 0.4509251 0.4415328 0.4871824

0.9591058 1.029991 37882593 0.4513947 0.4410233 0.4867027

0.9245077 1.0286964 37834980 0.4519627 0.4404077 0.4861229

0.8828735 1.0271895 37779554 0.4526258 0.4396901 0.4854468

0.83452 1.0254812 37716724 0.4533798 0.4388756 0.4846791

0.7798154 1.0235842 37646955 0.45422 0.4379695 0.4838249

0.7191764 1.0215127 37570764 0.4551411 0.4369783 0.4828899

0.6530869 1.0192818 37488715 0.4561373 0.4359089 0.4818806


9/46

4(KJ/m2) 45 4T8344.6748 8755.3252 17.288847

8341.8853 8758.1147 17.220553

8337.2566 8762.7434 17.064694

8330.8192 8769.1808 16.822388

8322.6159 8777.3841 16.495366

8312.701 8787.299 16.085968

8301.1409 8798.8591 15.597123

8288.0129 8811.9871 15.032337

8273.4055 8826.5945 14.39567

8257.4178 8842.5822 13.691718

8240.159 8859.841 12.925772


10/46

UBICACIN=TEMPORADA

8.3929EVALUAMOS

(KJ/m2)= 11!!

!.18

A"#$%&' DECLINACION SOLAR *+ 9.4148933469 98.223076 89.43673528041! 9.4148933469 98.223076 90.26655376271+ 9.4148933469 98.223076 91.10051268562! 9.4148933469 98.223076 91.95178866832+ 9.4148933469 98.223076 92.83467728553! 9.4148933469 98.223076 93.76560880213+ 9.4148933469 98.223076 94.7644862503

,! 9.4148933469 98.223076 95.8565978926,+ 9.4148933469 98.223076 97.0755331598+! 9.4148933469 98.223076 98.4678879025++ 9.4148933469 98.223076 100.1012982806

- "7 ':=


11/46

RB RADIO 4!(J/m2) KT 4/4 4/40.9630322 1.0328778 39097626 0.4373667 0.4564974 0.5012231

0.9865885 1.0325123 39083788 0.4375216 0.4563237 0.5010606

1.002842 1.031906 39060838 0.4377786 0.4560355 0.500791

1.0116729 1.0310635 39028947 0.4381363 0.4556347 0.5004161

1.0130231 1.029991 38988349 0.4385926 0.455124 0.4999384

1.0068974 1.0286964 38939347 0.4391445 0.454507 0.4993609

0.9933651 1.0271895 38882303 0.4397888 0.4537878 0.4986877

0.9725617 1.0254812 38817639 0.4405214 0.4529713 0.4979232

0.9446919 1.0235842 38745834 0.4413378 0.4520632 0.4970725

0.9100276 1.0215127 38667419 0.4422328 0.4510698 0.4961415

0.8685939 1.0192818 38582975 0.4432007 0.4499979 0.4951365


12/46

4(KJ/m2) 45 4T8570.915 8529.085 16.774247

8568.1368 8531.8632 16.943871

8563.5269 8536.4731 17.030803

8557.1158 8542.8842 17.034504

8548.946 8551.054 16.955068

8539.0719 8560.9281 16.793226

8527.5595 8572.4405 16.550352

8514.486 8585.514 16.22848

8499.9396 8600.0604 15.830322

8484.0192 8615.9808 15.359251

8466.8336 8633.1664 14.816586


13/46

UBICACIN=TEMPORADA

8.3929EVALUAMOS

(KJ/m2)= 11!!

!.18


,! 18.7919175177 107.06799 102.0868328137,+ 18.7919175177 107.06799 104.6416353684+! 18.7919175177 107.06799 107.5886808475++ 18.7919175177 107.06799 111.0949850625

- "7 ':=


14/46

RB RADIO 4!(J/m2) KT 4/4 4/40.9309481 1.0328778 38177654 0.447906 0.4448227 0.4902773

0.9769989 1.0325123 38164142 0.4480646 0.4446493 0.4901143

1.0164653 1.031906 38141732 0.4483278 0.4443616 0.4898438

1.0490639 1.0310635 38110591 0.4486942 0.4439615 0.4894676

1.0745856 1.029991 38070949 0.4491614 0.4434518 0.4889883

1.0929009 1.0286964 38023100 0.4497266 0.442836 0.4884089

1.1039677 1.0271895 37967398 0.4503864 0.4421181 0.4877334

1.1078423 1.0254812 37904255 0.4511367 0.4413032 0.4869662

1.1046978 1.0235842 37834140 0.4519727 0.4403968 0.4861126

1.0948246 1.0215127 37757570 0.4528893 0.4394053 0.4851784

1.0772871 1.0192818 37675113 0.4538805 0.4383354 0.4841699


15/46

4(KJ/m2) 45 4T8383.7421 8716.2579 16.488031

8380.9546 8719.0454 16.85917

8376.3293 8723.6707 17.15337

8369.8967 8730.1033 17.368763

8361.6994 8738.3006 17.504231

8351.7919 8748.2081 17.55944

8340.2403 8759.7597 17.534899

8327.1222 8772.8778 17.432057

8312.5259 8787.4741 17.253451

8296.5503 8803.4497 17.002718

8279.3047 8820.6953 16.672746


16/46

UBICACIN=TEMPORADA

8.3929EVALUAMOS

(KJ/m2)= 11!!

!.18


,! 23.0859110028 111.57173 105.2066286884,+ 23.0859110028 111.57173 108.4598375407+! 23.0859110028 111.57173 112.2428406964++ 23.0859110028 111.57173 116.7984837919

- "7 ':=


17/46


18/46

4(KJ/m2) 45 4T8177.2519 8922.7481 16.385756

8174.4532 8925.5468 16.866738

8169.8091 8930.1909 17.274495

8163.3504 8936.6496 17.606463

8155.1196 8944.8804 17.860924

8145.1715 8954.8285 18.037075

8133.5723 8966.4277 18.135129

8120.3997 8979.6003 18.15648

8105.7423 8994.2577 18.103982

8089.6993 9010.3007 17.982002

8072.3801 9027.6199 17.776904


19/46

UBICACIN=TEMPORADA

8.3929EVALUAMOS

(KJ/m2)= 11!!

!.18


,! 21.1836935645 109.5291 103.7972440046,+ 21.1836935645 109.5291 106.7318168502+! 21.1836935645 109.5291 110.1309098711++ 21.1836935645 109.5291 114.199888636

- "7 ':=


20/46

RB RADIO 4!(J/m2) KT 4/4 4/40.9250073 1.0328778 37674093 0.4538928 0.4383221 0.4841574

0.9771508 1.0325123 37660758 0.4540535 0.4381489 0.483994

1.0229597 1.031906 37638644 0.4543203 0.4378615 0.483723

1.0621075 1.0310635 37607914 0.4546915 0.4374619 0.4833461

1.0943473 1.029991 37568795 0.455165 0.4369527 0.4828657

1.1195188 1.0286964 37521577 0.4557378 0.4363375 0.4822852

1.1375581 1.0271895 37466610 0.4564064 0.4356204 0.4816083

1.1485133 1.0254812 37404300 0.4571667 0.4348063 0.4808396

1.1525689 1.0235842 37335109 0.4580139 0.4339008 0.4799842

1.1500491 1.0215127 37259549 0.4589427 0.4329103 0.479048

1.1396528 1.0192818 37178180 0.4599472 0.4318415 0.4780374


21/46

4(KJ/m2) 45 4T8279.091 8820.909 16.4286

8276.298 8823.702 16.858898

8271.6634 8828.3366 17.214211

8265.2179 8834.7821 17.492292

8257.0041 8842.9959 17.691697

8247.0766 8852.9234 17.811828

8235.5016 8864.4984 17.853021

8222.3566 8877.6434 17.816673

8207.7302 8892.2698 17.705453

8191.7215 8908.2785 17.523337

8174.4398 8925.5602 17.259858


22/46

UBICACIN=TEMPORADA

8.3929EVALUAMOS

(KJ/m2)= 11!!

!.18


,! 13.4549596824 101.90955 98.4662564242,+ 13.4549596824 101.90955 100.2373849619+! 13.4549596824 101.90955 102.2669580232++ 13.4549596824 101.90955 104.6586584879

- "7 ':=


23/46

RB RADIO 4!(J/m2) KT 4/4 4/40.9475769 1.0328778 38902388 0.4395617 0.4540411 0.4989249

0.9806441 1.0325123 38888619 0.4397173 0.4538674 0.4987623

1.0066723 1.031906 38865784 0.4399757 0.4535793 0.4984925

1.0254715 1.0310635 38834052 0.4403352 0.4531786 0.4981173

1.0369178 1.029991 38793657 0.4407937 0.4526682 0.4976392

1.0409557 1.0286964 38744900 0.4413484 0.4520514 0.4970614

1.0376015 1.0271895 38688141 0.4419959 0.4513325 0.4963877

1.0269488 1.0254812 38623799 0.4427322 0.4505164 0.4956226

1.0091762 1.0235842 38552353 0.4435527 0.4496086 0.4947714

0.9845454 1.0215127 38474329 0.4444522 0.4486156 0.4938397

0.9527476 1.0192818 38390307 0.4454249 0.4475441 0.492834


24/46

4(KJ/m2) 45 4T8531.6151 8568.3849 16.640442

8528.8351 8571.1649 16.892692

8524.222 8575.778 17.064432

8517.8065 8582.1935 17.154571

8509.6311 8590.3689 17.162687

8499.7503 8600.2497 17.08904

8488.2299 8611.7701 16.934601

8475.1473 8624.8527 16.701084

8460.5908 8639.4092 16.391014

8444.6592 8655.3408 16.007717

8427.4614 8672.5386 15.549634


25/46

UBICACIN=TEMPORADA

8.3929EVALUAMOS

(KJ/m2)= 189!!

!.18


,! 2.2168867832 91.913526 91.3650268725,+ 2.2168867832 91.913526 91.6478811698+! 2.2168867832 91.913526 91.9701067269++ 2.2168867832 91.913526 92.3467009314

- "7 ':=


26/46


27/46

4(KJ/m2) 45 4T8511.8867 10388.113 18.857463

8508.7577 10391.242 18.897758

8503.5655 10396.435 18.839779

8496.344 10403.656 18.683961

8487.1407 10412.859 18.431435

8476.0164 10423.984 18.084028

8463.0446 10436.955 17.644244

8448.3117 10451.688 17.115258

8431.9162 10468.084 16.500894

8413.9684 10486.032 15.805607

8394.5902 10505.41 15.03427


28/46

UBICACIN=TEMPORADA

8.3929EVALUAMOS

(KJ/m2)= 189!!

!.18


,! -9.5993972342 81.611579 84.0260537039,+ -9.5993972342 81.611579 82.7824592356+! -9.5993972342 81.611579 81.3617708857++ -9.5993972342 81.611579 79.6948483551

- "7 ':=


29/46

RB RADIO 4!(J/m2) KT 4/4 4/41.0617676 1.0328778 36125901 0.5231703 0.3690643 0.4176782

1.0409222 1.0325123 36113114 0.5233556 0.3688918 0.4175094

1.0121547 1.031906 36091909 0.5236631 0.3686055 0.4172293

0.9756841 1.0310635 36062441 0.524091 0.3682073 0.4168396

0.931788 1.029991 36024930 0.5246367 0.3677 0.4163429

0.8808004 1.0286964 35979653 0.5252969 0.3670869 0.4157425

0.8231094 1.0271895 35926944 0.5260676 0.3663722 0.4150423

0.7591541 1.0254812 35867195 0.5269439 0.3655606 0.4142468

0.6894211 1.0235842 35800847 0.5279205 0.3646576 0.4133614

0.6144486 1.0215127 35728393 0.528991 0.3636695 0.4123919

0.5351866 1.0192818 35650367 0.5301488 0.362603 0.4113448


30/46

4(KJ/m2) 45 4T7894.1186 11005.881 19.57126

7890.928 11009.072 19.316417

7885.6333 11014.367 18.957488

7878.2686 11021.731 18.497021

7868.8818 11031.118 17.93829

7857.5339 11042.466 17.285279

7844.2992 11055.701 16.54266

7829.2647 11070.735 15.715767

7812.5298 11087.47 14.810558

7794.206 11105.794 13.83367

7774.4163 11125.584 12.796429


31/46

UBICACIN=TEMPORADA

8.3929EVALUAMOS

(KJ/m2)= 189!!

!.18


,! -18.9119547412 72.811034 77.8288044131,+ -18.9119547412 72.811034 75.2554323206+! -18.9119547412 72.811034 72.2864101634++ -18.9119547412 72.811034 68.7529844989

- "7 ':=


32/46

RB RADIO 4!(J/m2) KT 4/4 4/41.1110235 1.0328778 32383884 0.5836236 0.3153244 0.3642548

1.069416 1.0325123 32372422 0.5838303 0.3151479 0.3640765

1.0196697 1.031906 32353414 0.5841733 0.314855 0.3637807

0.9621631 1.0310635 32326998 0.5846506 0.3144477 0.3633691

0.8973338 1.029991 32293373 0.5852594 0.3139284 0.3628443

0.8256753 1.0286964 32252785 0.5859959 0.3133007 0.3622097

0.7477328 1.0271895 32205536 0.5868556 0.3125685 0.3614692

0.6640997 1.0254812 32151976 0.5878332 0.3117367 0.3606275

0.5754124 1.0235842 32092501 0.5889226 0.3108108 0.3596901

0.4823798 1.0215127 32027551 0.5901169 0.3097968 0.358663

0.3874461 1.0192818 31957608 0.5914085 0.3087015 0.3575529


33/46

4(KJ/m2) 45 4T5959.6305 12940.37 20.331818

5956.2952 12943.705 19.779098

5950.7602 12949.24 19.111284

5943.061 12956.939 18.333127

5933.2476 12966.752 17.450174

5921.3833 12978.617 16.468739

5907.5453 12992.455 15.395869

5891.8243 13008.176 14.239296

5874.3234 13025.677 13.007396

5855.1587 13044.841 11.709577

5834.4581 13065.542 10.378023


34/46

UBICACIN=TEMPORADA

8.3929EVALUAMOS

(KJ/m2)= 1;2!!

!.18


,! -23.0496276439 68.468025 74.820704024,+ -23.0496276439 68.468025 71.573728266+! -23.0496276439 68.468025 67.7982794535++ -23.0496276439 68.468025 63.2522988416

- "7 ':=


35/46

RB RADIO 4!(J/m2) KT 4/4 4/41.1331391 1.0328778 30229757 0.5358958 0.3573399 0.406168

1.0822096 1.0325123 30219058 0.5360855 0.357167 0.4059976

1.0230439 1.031906 30201313 0.5364005 0.3568801 0.4057149

0.9560922 1.0310635 30176655 0.5368388 0.3564811 0.4053217

0.881864 1.029991 30145266 0.5373978 0.3559726 0.4048205

0.8009244 1.0286964 30107378 0.5380741 0.3553581 0.4042145

0.7138892 1.0271895 30063272 0.5388635 0.3546417 0.4035077

0.6214209 1.0254812 30013275 0.5397612 0.3538281 0.4027048

0.5242232 1.0235842 29957756 0.5407615 0.3529229 0.4018109

0.4230918 1.0215127 29897127 0.5418581 0.3519322 0.400832

0.3216773 1.0192818 29831836 0.543044 0.3508627 0.3997747


36/46

4(KJ/m2) 45 4T5788.9059 10411.094 17.580657

5786.1048 10413.895 17.034321

5781.457 10418.543 16.391265

5774.9933 10425.007 15.656051

5766.7565 10433.243 14.833912

5756.8017 10443.198 13.930716

5745.1953 10454.805 12.95294

5732.0153 10467.985 11.907628

5717.3507 10482.649 10.80235

5701.3008 10498.699 9.6457426

5683.9754 10516.025 8.4765772


37/46

INTE SAMIR BOSET DIA> ALVARE> MAR? CARMEN

CALCULO DEL ANGULO

AN


38/46


39/46

DE INCLINACION DEL PANEL SOLAR

16.48803106 16.3857563 16.42860017 16.64044213 18.857463

16.85917018 16.8667376 16.85889814 16.89269212 18.897758

17.15336966 17.2744953 17.21421064 17.06443201 18.839779

17.36876284 17.6064629 17.49229212 17.15457126 18.683961

17.50423084 17.8609239 17.69169661 17.16268708 18.431435

17.55943964 18.0370749 17.81182804 17.08904049 18.084028

17.53489915 18.1351287 17.85302146 16.93460071 17.644244

17.43205683 18.1564805 17.81667292 16.70108356 17.115258

17.25345052 18.1039819 17.7054526 16.39101445 16.500894

17.00271797 17.9820022 17.52333703 16.00771658 15.805607

16.67274636 17.7769036 17.25985803 15.54963387 15.03427

17.55943964 18.1564805 17.85302146 17.16268708 18.897758

50 55 55 40 20

899 MJ/m6

SE DEBEN ENCONTRAR ALREDEDOR DE LA LATITUD

4T(MJ/m6)MA?O 4T(MJ/m6)JUNIO 4T(MJ/m6)JULIO 4T(MJ/m6)A


40/46


41/46

19.5712598 20.33181846 17.580657 212.7017549859

19.3164167 19.77909796 17.034321 212.1804867323

18.9574884 19.11128424 16.391265 210.5689189241

18.4970211 18.33312676 15.656051 207.8795587311

17.9382896 17.4501735 14.833912 204.1335132572

17.2852786 16.46873924 13.930716 199.3605157974

16.5426603 15.3958689 12.95294 193.5990258952

15.7157667 14.23929597 11.907628 186.8964657437

14.8105581 13.00739586 10.80235 179.3097123876

13.8336705 11.70957672 9.6457426 170.9066594207

12.7964292 10.37802294 8.4765772 161.7967101647

19.5712598 20.33181846 17.580657 212.7017549859

5 5 5 20

4T(MJ/m6)OCTUBRE 4T(MJ/m6)NOVIEMBRE 4T(MJ/m6)DICIEMBRE VALORESMAIMOS

RADIA

RADIA

,! +! ;!

NADA VS ANO

ABRIL

MA?O

JUNIO

JULIO

A


42/46

RADIA


43/46

! 1! 2! 3! ,! +!!

+!

1!!

1+!

2!!

2+!

RADIACION ANUAL MJ/m6

AN


44/46

! 1! 2! 3! ,! +!1+.+

1;

1;.+

1

1.+

AN


45/46

;!

ANGULO OPTIMO AL AO

;!


46/46

;!

angulo optimo de inclinacion

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