Wind Farm Yields¶
The wind farm Krastel-Leideneck of 4 Enercon E-101 has been commissioned in Q4/2014 in Rhineland-Westfalia.
>>> from effectus import Effects
>>> daily_yields = [40516, 232578, 67967, 84978, 26451, 75239, 57011, 245827, 248179, 196241, 177695, 220826, 213038, 210191, 2621, 28714, 25469, 58026, 4464, 146, 19919, 21833, 15331, 88967, 49267, 131735, 79525, 168074, 136357, 72177, 55853, 507, 82322, 11401, 3785, 99563, 15259, 58136, 14826, 67025, 22804, 32151, 27321, 117565, 172802, 15646, 8654, 2691, 907, 26794, 217166, 101304, 4133, 141483, 101471, 40865, 54087, 102158, 7219, 212407, 180846, 176799, 90526, 71153, 7272, 34855, 24205, 24759, 12706, 14871, 1897, 47429, 24457, 20994, 16329, 11108, 30118, 32128, 4598, 21242, 40821, 10793, 12452, 51169, 71686, 79062, 90662, 246871, 140716, 236107, 166296, 198287, 13487, 48056, 30747, 16912, 4992, 1904, 5983, 35145, 97273, 32711, 3875, 68806, 36351, 34, 40491, 33885, 20399, 21092, 18505, 40032, 12076, 23158, 41029, 35708, 90945, 44784, 11496, 81946, 8703, 6943, 73285, 62975, 168912, 98085, 41786, 8368, 114133, 26986, 60523, 96921, 4018, 15325, 32849, 31637, 5318, 47991, 81946, 2533, 12718, 979, 9875, 266, 3755, 22454, 19978, 99774, 24432, 58538, 122431, 47449, 185141, 87703, 4097, 2912, 23862, 45517, 89927, 48511, 31546, 18244, 20928, 35115, 11756, 22056, 34485, 6467, 86657, 28244, 10496, 34081, 98772, 54922, 544, 8399, 16709, 41611, 5874, 33826, 1651, 48974, 5524, 7133, 33041, 40651, 808, 54511, 132283, 34924, 3529, 46742, 20862, 34437, 64934, 4441, 6345, 8944, 363, 4733, 26221, 33601, 10734, 4958, 13345, 192459, 56262, 145327, 10663, 61878, 18278, 812, 7631, 7396, 18689, 71454, 1587, 20245, 21487, 48748, 12029, 18983, 15156, 4528, 1087, 40638, 31998, 29384, 14761, 6311, 734, 7378, 7847, 20846, 88142, 123556, 146357, 95028, 42215, 174, 7423, 35396, 77698, 21698, 1399, 15863, 39505, 66801, 42301, 3031, 5037, 29654, 55527, 10253, 71659, 72714, 12784, 173969, 234687, 196288, 49627, 13816, 881, 6147, 70065, 60725, 53571, 2137, 6642, 55268, 62392, 9978, 91378, 51217, 11506, 4014, 32403, 100818, 82508, 54278, 10357, 807, 11155, 24699, 21774, 14139, 5125, 14036, 4242, 5372, 42, 2629, 11992, 11495, 78703, 1593, 2231, 17075, 48802, 42307, 2324, 5042, 30213, 43716, 7774, 14341, 1895, 123676, 51499, 10251, 95827, 95657, 188649, 179135, 6145, 24408, 130897, 165821, 179224, 148662, 248294, 195868, 231896, 83387, 55372, 45125, 16812, 126223, 75219, 12582, 27063, 181985, 270798, 1728, 194414, 12538, 64465, 119326, 14268, 156377, 68699, 101918, 47896, 27145, 16228, 120664, 146271, 44273, 43808, 107547, 117667, 63069, 6996, 11932, 192015, 209802, 148603, 184994, 134858, 95546, 53566, 118432, 65545, 106123, 132812, 69889, 139063, 117975, 121979, 36165, 21387, 155018, 83901, 6228, 165789, 117029, 142109, 195372, 156036, 156498, 94105, 60675, 41707, 3766, 34193, 12909, 100094, 114289, 12951, 91952, 227615, 25911, 58919, 219936, 247748, 153766, 254775, 235574, 89974, 165191, 69703, 212023, 224952, 250716, 250373, 175115, 56038, 26005, 69522, 54124, 4556, 4749, 10333, 11555, 41289, 267757, 281511, 205187, 21142, 16526, 8287, 11746, 38976, 10029, 134261, 9528, 146466, 5546, 171356, 9745, 56008, 1334, 12661, 102379, 12583, 33957, 29847, 64156, 43508, 36185, 121096, 20036, 19848, 26113, 21614, 11813, 26044, 50005, 16439, 71889, 89787, 197476, 224562, 202476, 66958, 57938, 62584, 3575, 4023, 71574, 63074, 106944, 57851, 21384, 12983, 40394, 53859, 22624, 4093, 6593, 110813, 9846, 1098, 15238, 19529, 18126, 19934, 11445, 69906, 40364, 112963, 100526, 167326, 35882, 88667, 63909, 171658, 12216, 58091, 11021, 88291, 62129, 37035, 8959, 74823, 31615, 52036, 21687, 19603, 95695, 51592, 23127, 26915, 4564, 27666, 6248, 29051, 128623, 7642, 5213, 798, 5139, 17688, 7625, 6437, 61255, 6123, 20529, 8251, 7521, 7879, 14182, 7886, 6097, 5133, 2677, 2762, 1178, 9322, 46109, 32807, 42554, 9829, 67753, 59784, 10292, 57837, 31409, 12761, 88436, 15842, 34018, 45204, 69473, 1797, 72153, 57993, 63259, 69486, 46659, 10635, 61493, 2981, 1847, 2954, 16674, 25469, 87264, 20499, 23898, 40842, 24501, 1487, 12634, 1389, 3266, 32809, 52605, 6545, 3054, 1988, 2932, 3928, 15956, 25304, 52437, 2871, 11039, 1566, 83716, 111222, 20528, 25254, 13012, 12976, 3965, 19009, 9591, 45299, 79204, 34443, 977, 11732, 5268, 9189, 1385, 23295, 54855, 86224, 26595, 4119, 50475, 73118, 965, 14721, 6098, 10559, 7643, 15117, 6636, 513, 17062, 101082, 40694, 2022, 10529, 39549, 364, 2615, 631, 66, 16083, 36715, 76044, 937, 23034, 7368, 4388, 501, 3015, 1708, 314, 24747, 6158, 3238, 980, 89851, 163832, 18735, 42301, 113483, 76674, 3222, 68894, 22039, 8622, 7659, 3691, 102, 8762, 13583, 110095, 41406, 84367, 38937, 33843, 44928, 11912, 56606, 10443, 36771, 7745, 19907, 8774, 599, 14968, 19614, 5349, 593, 4422, 14925, 49669, 10701, 41815, 47443, 51886, 31848, 2009, 125965, 82051, 30422, 24058, 36529, 19385, 186208, 193894, 185224, 200463, 156918, 213512, 179097, 106445, 2007, 64284, 73901, 973, 23901, 4318, 29739, 63669, 94472, 54758, 19925, 49407, 14949, 3718, 18589, 130617, 2101, 167289, 141394, 39321, 78267, 15425, 45869, 34198, 3498, 6984, 48793, 26083, 27157, 36318, 45813, 167221, 252016, 155633, 113491, 11132, 38477, 14784, 21813, 20787, 18857, 137369, 118038, 61478, 15734, 42028, 1182, 84916, 64835, 184974, 175708, 126415, 135899, 5054, 13078, 37804, 43222, 30927, 4148, 32505, 7706, 13905, 485, 2677, 70027, 78101, 89104, 90481, 159635, 11499, 73692, 174936, 121486, 148245, 56775, 4996, 34098, 13898, 16457, 17247, 61708, 94241, 94347, 54483, 28447, 45346, 48928, 3081, 72797, 183934, 10505, 256312, 260744, 54733, 43105, 14548, 226005, 209799, 207667, 222166, 131044, 136579, 155064, 116712, 49017, 150944, 102864, 28635, 5713, 72909, 2841, 16666, 13018, 17392, 82535, 197128, 200287, 188132, 49209, 15333, 33763, 44796, 74812, 26229, 33113, 46731, 64585, 24418, 112126, 16024, 18099, 21912, 14666, 44989, 50119, 18722, 1315, 9352, 68106, 13212, 87418, 41323, 8027, 68235, 65742, 97864, 86776, 44629, 8565, 10683, 57047, 26428, 14445, 3335, 9708, 13453, 25413, 13511, 96833, 38868, 8981, 12568, 83, 526, 42643, 15179, 32483, 924, 11247, 69945, 15249, 37027, 14943, 4962, 11996, 77069, 45923, 81713, 18864, 198, 15824, 65309]
>>> yields = Effects(daily_yields)
>>> yields
<pareto present [0.977]: 1/5 causes => 3/5 effects [total ∆: 3.0 % points]>
>>> vital_few = yields.attain_effects()
>>> useful_many = yields.attain_effects(ascending=True)
>>> print('{:.0%} of {} days make up for {:.0%} of all wind power.'.format(vital_few,
len(daily_yields),
float(yields.actual['effects'])))
20% of 874 days make up for 57% of all wind power.
>>> print('Such a day brings in {0:.0f} MWh electricity or {1:.0f} cubic metres beech wood.'.format(yields.few.mean()/10**3,
yields.few.mean()/2800))
Such a day brings in 162 MWh electricity or 58 cubic metres beech wood.
>>> print('{:.0%} of {} days bring in {:.0%} of total electricity generated.'.format(useful_many,
len(daily_yields),
float(yields.actual['causes'])))
88% of 874 days bring in 20% of total electricity generated.
>>> print('Such a day brings in {0:.0f} MWh electricity or {1:.0f} cubic metres beech wood.'.format(yields.most.mean()/10**3,
yields.most.mean()/2800))
Such a day brings in 29 MWh electricity or 11 cubic metres beech wood.
Summary:
>>> yields.groups()
Causes Effects Count Mean Stdev Stdev/Mean ∆ Mean
-------- --------- ------- ---------- --------- ------------ --------
100% 100% 874 55497.545 61227.801 1.1
20% 60% 172 161728.890 48364.043 0.3 +191%
80% 40% 702 29469.352 25529.961 0.9 -47%
-------- --------- ------- ---------- --------- ------------ --------
Findings¶
>>> yields.most.mean()/yields.actual['causes'] # 4 days
149745.42743324718
>>> yields.few.mean() # 5th day
161728.88953488372
Four out of five days bring in less than the fifth:
- The four wind turbines generate as much electricity on one out of five days as the power of 9000 horses around the clock. That are 2.4 cubic metres beech wood per hour.
- The turbines bring in as much electricity on the remaining four days equivalent to the power of 1600 horses around the clock. That are 0.4 cubic metres beech wood per hour.
Can one transfer this to Germany as a whole?¶
Let’s consider the daily wind electricity production for Germany for 2016.
>>> de16 = [90147.264, 374336.04, 395583.1, 250496.14, 166935.34, 103787.2, 255693.69, 465171.05, 166052.32, 300031.47, 174006.38, 283319.32, 326996.46, 214476.88, 142254.79, 110853.89, 88182.21, 59316.16, 135752.72, 106061.21, 31157.655, 152146.71, 250469.92, 204519.06, 261656.11, 447792.5, 664505.6, 459163.9, 632095.7, 675618.3, 486237.5, 550958.7, 749452.8, 547825.1, 352328.27, 228044.82, 357161.5, 483540.2, 759079.9, 618874.8, 385968.8, 307737.9, 86394.47, 134830.32, 243503.77, 180643.68, 65187.494, 161795.78, 59324.38, 86712.24, 570809.5, 622161.8, 531322.5, 247446.68, 223512.91, 131368.79, 83918.23, 112968.53, 179277.36, 248602.36, 194948.09, 353326.44, 102360.17, 248646.12, 79422.46, 107646.65, 54956.868, 58398.75, 203067.62, 110644.07, 87037.65, 83286.03, 134349.88, 92600.26, 142958.12, 255624.78, 70751.932, 108130.6, 86207.803, 245138.86, 271458.87, 158686.42, 120080.47, 65476.559, 159824.26, 197049.9, 332820.55, 467614.7, 388348.5, 266202.91, 101268.39, 89163.62, 157555.68, 87337.9, 113213.26, 118653.73, 376205, 328479.41, 84338.391, 55812.959, 123044.66, 182158.34, 70999.9, 45112.172, 53592.605, 212455.2, 304874.54, 154414.37, 213899.27, 373748, 176633.48, 86284.69, 128697.16, 169633.12, 163404.02, 239159.75, 263036.26, 361869.6, 175456.39, 253157.59, 121246.6, 186141.83, 57174.319, 187294.89, 82993.32, 124814.43, 213523.82, 268897.54, 381250.61, 322883.48, 222957.33, 265301.07, 299353.99, 188423.34, 340137.7, 358717.7, 249666.92, 179793.49, 78605.43, 54239.863, 158806.49, 104519.27, 210114.6, 148432.83, 161478.59, 26575.191, 19317.978, 33353.358, 67419.817, 130293.22, 207744.6, 80856.34, 131949.3, 67490.43, 88473.905, 49367.627, 40810.12, 65203.317, 45915.585, 126503.54, 81280.99, 128663.43, 37172.683, 65015.33, 79079.89, 58891.85, 53217.002, 33038.217, 150508.62, 125624.98, 70951.22, 186321.22, 98513.78, 45527.988, 128692.14, 94642.92, 122475.38, 157413.27, 150451.85, 60489.57, 212594.01, 130463.05, 209408.5, 220836.37, 156452.62, 48849.489, 295247.71, 448238.11, 88030.036, 189555.21, 185490.27, 139916.07, 293961.69, 142793.83, 58924.774, 255202.63, 273162.11, 100365.67, 91930.97, 90688.04, 38556.368, 101275.5, 83721.3, 59833.093, 39067.838, 17163.2, 32768.961, 35930.385, 69509.89, 45380.435, 117846.04, 104690.902, 57455.586, 117320.89, 80768.21, 230989.8, 201270.04, 111530.11, 141478.44, 164233.24, 310676.18, 140329.37, 132379.36, 173486.64, 155433.86, 233199.65, 82770.71, 59940.17, 58132.972, 42400.961, 41082.906, 37786.867, 112858, 208998.13, 150169.01, 57292.878, 94458.88, 171806.79, 117323.61, 72899.957, 180535.13, 199167.83, 71267.2, 56155.908, 70128.21, 67090.99, 96480.73, 246158.26, 140732.4, 37767.708, 74785.436, 97696.96, 55090.666, 38117.915, 53696.475, 77433.964, 130861.75, 179476.59, 222557.91, 76299.17, 158485.42, 173483.84, 54527.71, 20079.229, 33934.895, 23881.652, 59038.802, 63268.92, 138782.84, 50759.359, 51814.32, 419425.9, 465550.3, 175885.09, 97439.46, 171695.19, 146294.45, 310885.67, 327190.89, 298234.82, 112188.26, 106219.44, 43178.286, 16075.462, 116578.5, 135139.06, 262400.53, 359777.3, 183649.8, 82858.93, 110851.59, 119230.22, 186925.02, 94031.63, 64585.56, 41290.867, 48845.713, 79153.01, 38983.156, 35978.581, 162937.6, 328952.75, 236369.76, 95596.75, 46501.42, 184923.84, 388767.86, 100640.03, 205346.91, 160649.87, 165128.3, 112625.15, 96748.36, 113814.05, 111077.61, 91772.45, 65925.35, 126955.79, 209956.5, 342920.7, 341638.24, 475778.1, 594211.6, 350946.2, 632012.9, 351145.6, 184677.61, 71685.79, 220125.8, 131085.45, 113184.16, 239358.87, 178572.57, 186261.27, 440265.4, 648945, 275008.21, 64570.322, 89339.41, 74157.38, 66960.26, 283118.74, 468409.9, 381194.2, 357675.97, 488435.7, 147766.96, 89212.16, 46846.298, 145819.93, 111398.35, 72159.42, 106766.037, 67739.612, 139712.07, 248758.76, 201435.88, 343784.68, 665086.8, 704752.4, 731143.1, 636691.4, 194442.36, 119279.98, 168850.44, 244682.43]
>>> de16eff = Effects(de16)
>>> de16eff
<pareto not present [1.02]: 1/3 causes => 2/3 effects [total ∆: 3.6 % points]>
No.