D題 風電場運行狀況分析及優(yōu)化

1、2016年高教社杯全國大學生數學建模競賽題目請先閱讀“全國大學生數學建模競賽論文格式規(guī)范”）D題風電場運行狀況分析及優(yōu)化風能是一種最具活力的可再生能源，風力發(fā)電是風能最主要的應用形式。我國某風電場已先后進行了一、二期建設，現(xiàn)有風機124臺，總裝機容量約20萬千瓦。請建立數學模型，解決以下問題：1. 附件1給出了該風電場一年內每隔15分鐘的各風機安裝處的平均風速和風電場日實際輸出功率。試利用這些數據對該風電場的風能資源及其利用情況進行評估。2. 附件2給出了該風電場幾個典型風機所在處的風速信息，其中4#、16#、24#風機屬于一期工程，33#、49#、57#風機屬于二期工程，它們的主要參數見附件

2、3。風機生產企業(yè)還提供了部分新型號風機，它們的主要參數見附件4。試從風能資源與風機匹配角度判斷新型號風機是否比現(xiàn)有風機更為適合。3. 為安全生產需要，風機每年需進行兩次停機維護，兩次維護之間的連續(xù)工作時間不超過270天，每次維護需一組維修人員連續(xù)工作2天。同時風電場每天需有一組維修人員值班以應對突發(fā)情況。風電場現(xiàn)有4組維修人員可從事值班或維護工作，每組維修人員連續(xù)工作時間（值班或維護）不超過6天。請制定維修人員的排班方案與風機維護計劃，使各組維修人員的工作任務相對均衡，且風電場具有較好的經濟效益，試給出你的方法和結果。附件1平均風速和風電場日實際輸出功率表。附件2風電場典型風機報表。附件3風電

3、場風機型號及其參數。附件4風機生產企業(yè)提供的新型號風機主要參數。附件1平均風速和風電場日實際輸出功率表風電場日實際發(fā)電曲線統(tǒng)計表2015年1月1日功率單位：MW。風速單位：m/s時間功率風速時間功率風速時間功率風速時間功率風速0:15344.16:15254.712:1502.318:15133.90:30244.96:30255.712:3002.318:30183.50:45364.76:45244.712:4512.518:45244.11:00295.67:00235.413:0012.519:00224.61:15215.17:15275.613:1522.519:15204.51:

4、30193.97:30295.413:3022.419:30124.01:45254.27:45304.913:4502.219:4594.22:00244.38:0073.914:0002.120:00103.92:15365.98:1584.014:1502.120:15124.12:30304.78:3084.014:3002.020:30194.52:45254.28:4573.814:4502.020:45234.63:00244.09:0053.415:0001.921:00294.93:15244.09:1553.415:1501.921:15315.03:30254.39:30

5、104.215:3001.921:30274.73:45254.39:4533.115:4502.021:45254.64:00213.910:0033.016:0002.022:00254.54:15193.710:1522.516:1502.022:15254.84:30254.010:3022.416:3002.122:30265.04:45254.110:4512.316:4502.122:45274.75:00254.311:0012.217:0002.123:00254.95:15294.411:1522.517:1523.223:15264.85:30364.511:3032.7

6、17:3063.823:30274.65:45305.711:4522.517:4563.923:45274.56:00315.612:0002.318:0094.10:00284.5風電場日實際發(fā)電曲線統(tǒng)計表2015年2月28日功率單位：MW。風速單位：m/s時間功率風速時間功率風速時間功率風速時間功率風速0:15556.06:151449.712:1514711.618:1513710.20:30746.46:301369.012:3014611.918:3013510.10:45786.56:451278.912:4514512.318:451299.91:001008.47:00143

7、9.513:0014611.719:001019.91:15987.27:151459.913:1514510.519:15759.01:301098.57:301419.413:3014511.419:30608.41:451108.77:451149.013:4514511.119:45568.52:001078.48:001088.214:0014510.720:00558.42:151018.28:151088.214:1514511.220:15566.52:301279.48:301168.514:3014511.420:30596.42:451499.58:451027.914:

8、4514512.120:45606.43:001489.59:00987.415:0014511.121:00666.63:151459.49:15957.215:1514510.421:15566.53:301459.79:30987.415:3014510.721:30546.53444455556450015304500153045001451451451451461471471451451459.89.510.210.710.210.410.310.510.610.59j4510101010111111111200153045001530450013112814314514514614

9、51451461458.78.59.69.69.911.611.712.212.112.115些17171717184500153045001530450014514614514514514514514514514511.311.010.910.711.411.211.211.010.610.92122222222232323234500153045001530450:00545654555556665054657.17.07.07.06.96.46.26.46.56.7風速風電場日實際發(fā)電曲線統(tǒng)計表2015年3月22日功率單位：MW。風速單位：m/s時間功率風速時間功率風速時間功率風速時間功

10、率風速0:15466.16:1502.912:1501.718:15386.00:30556.76:3001.312:3002.318:30365.90:45627.06:4501.912:4502.018:45355.81:00546.57:0002.313:0003.119:00355.71:15576.77:1501.113:1563.419:15355.61:30486.27:3002.113:30194.019:30325.31:45597.07:4502.013:45284.619:45305.02:00586.98:0001.914:00375.320:00274.72:1557

11、6.78:1501.414:15415.620:15255.02:30596.38:3001.614:30446.020:30234.42:45575.98:4501.214:45385.420:45184.23:00525.89:0001.015:00415.621:00234.43:15375.49:1501.315:15536.621:15294.83:30335.39:3001.715:30606.821:30315.03:45365.39:4502.015:45657.221:45335.24:00234.910:0002.216:00707.522:00325.14:15124.2

12、10:1502.516:15788.222:15325.14:30114.110:3002.316:30788.222:30335.54:45104.010:4501.816:45748.022:45345.45:00114.011:0002.017:00737.923:00345.55:1583.711:1501.917:15707.523:15355.65:3053.511:3001.717:30657.323:30355.55:4513.011:4501.617:45557.123:45355.46:0013.012:0002.118:00416.50:00355.5風電場日實際發(fā)電曲線

13、統(tǒng)計表2015年4月12日功率單位：MW。風速單位：m/s功率風速時間功率風速時間功率風速時間功率時間0:151078.96:15183.312:151088.118:1514211.10:301088.76:30143.412:30847.618:3013610.60:45928.46:45123.212:451028.318:451118.41:00857.87:0093.113:00867.419:001078.21:15817.77:1563.213:151058.019:15887.61:30737.37:3083.313:301168.519:30746.31:45557.07:4

14、5113.413:451158.419:45636.02:00656.98:00143.514:001138.320:00666.12:15666.88:15123.214:151138.420:15736.22:30706.98:3093.114:301239.020:30705.92:45646.78:45113.414:451168.720:45716.03:00586.99:00123.415:001208.921:00716.03:15606.59:15163.315:151349.321:15746.23:30576.49:30233.415:301118.421:30776.43

15、:45526.39:45263.315:451349.321:45786.54:00556.010:00233.516:001128.322:00776.44:15576.010:15353.916:151429.522:15766.34:30475.810:30454.016:3016010.022:30786.64:45375.710:45807.316:451339.722:45605.75:00324.611:00847.517:001449.823:00675.95:15274.411:151058.017:159510.423:15635.85:30274.011:301268.2

16、17:3013610.623:30605.75:45263.711:451358.517:4513910.923:45615.76:00213.912:001288.318:0013810.80:00595.6風電場日實際發(fā)電曲線統(tǒng)計表2015年5月31日功率單位：MW。風速單位:m/s時間功率風速時間功率風速時間功率風速時間功率風速015395.0615375.31215294.81815164.5030405.2630325.11230354.9183094.5045425.4645345.21245325.3184583.8100455.7700355.31300135.5190093.

17、9115475.8715405.6131585.2191543.6130506.0730445.8133035.0193053.6145516.1745415.5134513.3194533.4200606.0800405.4140064.2200093.8215556.6815285.51415224.82015134.2230556.6830245.31430486.32030154.2245556.6845205.41445486.52045184.9300556.6900185.01500527.02100345.9315556.6915185.11515567.32115546.53

18、30516.1930125.31530517.62130757.5345445.7945125.21545357.92145847.74:00465.810:00135.216:00186.222:00887.94:15556.610:1584.816:1584.322:15707.04:30556.610:3044.716:3064.022:30576.54:45525.910:4584.316:45124.322:45305.55:00495.811:00114.117:00235.523:00265.05:15576.811:15124.317:15285.723:15255.25:30

19、627.211:30214.417:30275.623:30255.35:45546.511:45254.617:45245.423:45265.26:00415.512:00344.718:00184.80:00245.0風電場日實際發(fā)電曲線統(tǒng)計表2015年6月6日功率單位：MW。風速單位：m/s風速時間功率風速時間功率風速時間功率風速時間功率風速0:15395.56:15696.812:15717.118:15204.80:30395.56:30998.012:30737.118:30154.60:45335.36:451078.412:45857.218:45134.51:00335.3

20、7:00767.513:00727.519:00114.31:15335.37:151179.413:15577.419:15104.21:30335.37:30948.013:30456.119:3094.01:45335.37:45586.513:45455.819:4573.82:00335.08:00465.914:00336.020:0023.32:15365.48:15545.814:15295.720:1533.42:30485.98:30606.214:30254.320:30103.92:45435.78:45586.914:45174.220:45124.23:00315.

21、09:00717.415:00194.021:00204.33:15365.29:15707.515:15184.421:15204.33:30476.39:30446.515:3074.321:30215.03:45425.79:45306.215:45123.421:45225.04:00335.010:00206.216:00104.222:00235.14:15335.010:15456.216:1593.822:15245.24:30375.210:30426.316:3083.522:30245.34:45415.310:45536.716:45103.422:45255.45:0

22、0475.611:00486.017:00153.423:00255.45:15565.811:15335.417:15203.923:15255.55:30646.511:30284.717:30234.523:30255.55:45737.211:45516.017:45234.923:45255.56:00666.712:00556.218:00214.80:00255.5風電場日實際發(fā)電曲線統(tǒng)計表2015年7月31日功率單位：MW。風速單位：m/s時間功率風速功率風速時間功率風速時間功率時間0:15386.26:15114.112:1583.818:1583.70:30366.66:3

23、0134.312:3054.118:30355.20:45376.66:45154.612:4544.218:45776.91:00386.47:00164.713:0043.419:00616.01:15336.37:15134.313:1502.919:15726.81:30345.27:30114.113:3002.719:30827.11:45275.37:4583.813:4502.719:45787.02:00205.08:0063.614:0002.120:00837.22:15205.08:1563.714:1502.220:15827.12:30215.18:3083.614

24、:3002.620:30696.62:45225.28:4574.114:4502.620:45545.83:00205.19:0053.215:0002.621:00617.23:15104.09:1543.915:1574.721:15405.53:30114.19:3053.815:3074.021:30305.03:45134.39:4593.915:45124.221:45305.04:00154.510:00104.116:00144.522:00315.04:15134.410:15124.516:15134.322:15305.04:30134.310:30154.416:30

25、63.622:30305.04:45104.010:45124.516:4593.922:45305.05:00104.011:00104.317:00144.423:00305.05:1573.711:15144.417:15144.423:15305.05:3043.411:30115.117:30225.023:30305.05:4553.511:45115.217:45154.523:45305.06:0083.712:0065.418:00124.30:00315.0風電場日實際發(fā)電曲線統(tǒng)計表2015年8月19日功率單位：MW。風速單位:m/s時間功率風速時間功率風速時間功率風速時間

26、功率風速015657.861583.41215475.7181573.6030647.663053.01230435.4183083.6045576.464533.01245505.2184583.7100586.670013.01300546.5190083.5115496.071502.71315606.9191552.6130536.273002.31330606.9193002.5145566.474502.11345606.9194502.4200466.080002.31400586.9200002.1215415.981502.61415556.1201502.1230415.9

27、83002.51430586.1203002.5245496.084502.51445374.9204502.1300546.390002.51500344.8210002.2315486.091502.61515405.4211502.1330465.993063.71530304.4213002.3345436.1945103.81545273.9214502.24:00446.110:00153.916:00293.922:0002.54:15406.010:15404.116:15213.722:1502.24:30345.510:30424.216:30183.822:3002.24

28、:45365.410:45394.016:45163.522:4502.35:00284.811:00383.917:00174.223:0002.35:15264.911:15183.817:15164.223:1502.35:30244.511:30596.817:30174.223:3002.55:45194.111:45566.517:45144.123:4502.16:00174.212:00475.818:00124.10:0002.1風電場日實際發(fā)電曲線統(tǒng)計表2015年9月21日功率單位：MW。風速單位：m/s時間功率風速時間功率風速時間功率風速時間功率風速015428.3615

29、1079.3121598.81815657.9030788.46301039.2123088.41830647.8045818.56451149.31245108.41845636.4100828.4700829.11300108.41900546.6115828.7715829.41315118.21915546.5130838.6730829.51330127.91930556.2145828.5745829.81345138.21945536.4200838.4800158.91400148.22000556.4215828.8815218.71415147.22015546.52308

30、38.7830228.91430127.92030324.5245829.0845188.91445127.92045254.0300858.9900238.81500147.82100454.5315878.8915248.11515138.22115644.2330868.793069.11530128.12130888.2345838.894598.71545118.02145888.4400878.910:0078.81600138.42200848.6415869.010:1598.51615148.42215828.54301069.110:30118.91630148.42230

31、828.24451029.010:45109.31645136.92245818.25001139.211:00109.41700126.42300828.45151069.311:1588.71715116.82315848.5530968.911:3078.91730137.42330828.35451029.011:4598.11745247.42345828.36001079.112:0088.11800607.60:00848.2風電場日實際發(fā)電曲線統(tǒng)計表2015年10月10日功率單位：MW。風速單位：m/s時間功率風速時間功率風速時間功率風速時間功率風速0:15678.16:152

32、94.512:15596.418:15264.20:30748.76:30304.712:30606.118:30214.10:45729.06:45274.812:45556.318:45224.21:00307.17:00254.713:00516.019:00244.21:15497.87:15224.513:15395.019:15214.11:30487.57:30224.713:30405.619:30204.01:45378.27:45275.013:45395.819:45194.42:00358.48:00325.214:00365.520:0063.62:15368.58:

33、15394.914:15355.020:1563.62:30328.18:30415.114:30245.120:3043.32:45348.28:45435.314:45354.720:4533.23:00338.09:00215.015:00405.421:0013.03:15327.49:15184.415:15355.221:1513.03:30327.59:30195.015:30345.121:3002.73:45307.99:45245.715:45275.021:4502.24:00247.410:00406.216:00314.722:0002.14:15216.110:15

34、375.716:15245.222:1502.24:30205.210:30496.516:30324.022:3002.14:45214.710:45506.116:45205.122:4502.55:00234.211:00586.617:00335.223:0002.65:15284.511:15666.817:15314.923:1502.75:30294.411:30656.017:30214.123:3002.75:45294.111:45656.117:45214.123:4502.86:00274.212:00666.218:00244.40:0002.8風電場日實際發(fā)電曲線統(tǒng)

35、計表2015年11月1日功率單位:MW。風速單位：m/s時間功率風速時間功率風速時間功率風速時間功率風速0:15154.46:1501.612:15133.218:15927.90:30144.46:3001.512:30123.518:30947.90:45154.46:4501.512:45133.618:45997.91:00104.07:0001.613:00173.719:001017.91:1582.87:1502.013:15193.719:151027.91:3073.77:3002.413:30233.819:30987.81:4543.47:4502.513:45223.8

36、19:45987.82:0033.38:0002.714:00243.920:00987.82:1513.18:1593.414:15294.220:15877.82:3013.18:3093.214:30294.420:30867.22:4523.28:4583.514:45345.120:45897.93:0033.29:0083.615:00365.421:00897.83:1523.29:1593.215:15395.721:15877.93:3023.29:3093.115:30465.721:30897.83:4543.29:4583.515:45496.121:45877.84:0043.310:0083.516:00516.522:00847.84:1533.410:1583.516:15526.7