无功补偿计算及补偿容量计算.xls

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1、功功率率因因数数和和无无功功补补偿偿容容量量的的计计算算：1 1、功功率率因因数数的的计计算算：（1）功率因数可以从所接电网的功率因数表里直接读取。（2）若用电用户没有安装功率因数表，功率因数可以从所装的电度表里直接读取有功功率和无功功率进行计算得出功率因数。即:cos=1SQRT(1+(tan)*(tan)=P/SQRT(P*P+Q*Q)=1/SQRT(1+(Q/P)*(Q/P)如果记录的某段时间内的有功功率P和无功功率Q可知，即可求出该段时间内的加权平均功率因数：表1 Q/P与功率因数对照表：Q/P=tancosQ/P=tancosQ/P=tancosQ/P=tan1.7320.51.33

2、30.61.020.70.751.6870.511.2990.610.9920.710.7241.6430.521.2650.620.9640.720.6981.60.531.2330.630.9360.730.6721.5590.541.2010.640.9090.740.6461.5180.551.1690.650.8820.750.621.4790.561.1380.660.8550.760.5931.4410.571.1080.670.8290.770.5671.4050.581.0780.680.8020.780.541.3680.591.0490.690.7760.790.5122

3、 2、补补偿偿容容量量的的确确定定：补偿容量的确定：补偿容量的大小决定于电力负荷的大小、补偿前功率因数的大小和补偿后提高的功率因数的大小 Qc=P年*（tan1-tan2）Qc-无功补偿容量（kvar）P年-年平均功率（kW)tan1-补偿前功率因数角的正切值 tan2-补偿后功率因数角的正切值1kW有功功率所需补偿电容器的补偿容量（kvar）补偿前cos1补偿后cos20.70.720.740.760.780.80.32.162.222.272.322.382.430.351.661.711.771.821.871.930.41.271.331.381.441.491.540.450.961

4、.021.081.131.181.230.50.710.770.820.880.930.980.510.670.720.780.830.880.940.520.650.680.730.790.840.890.530.580.640.690.740.80.850.540.540.590.650.70.760.810.550.50.550.610.660.720.770.560.460.520.570.620.680.730.570.420.480.530.590.640.690.580.380.440.50.550.60.650.590.350.40.460.510.570.620.60.310

5、.370.420.480.530.580.610.280.340.390.440.50.550.620.250.30.360.410.460.520.630.210.270.320.380.430.480.640.180.240.290.350.40.450.650.150.210.260.310.370.420.660.120.170.230.280.340.390.670.090.140.20.250.310.360.680.060.110.170.220.280.330.690.030.090.140.190.250.30.700.060.110.170.220.270.710.030.

6、080.140.190.240.7200.050.110.160.210.730.030.080.130.190.7400.050.110.160.750.030.080.130.7600.050.110.770.030.080.7800.050.790.030.800.810.820.830.840.850.860.870.880.890.90.910.920.930.94举例说明：1、若一10/0.4kV电力系统有功负荷100kW，呈感性负责,系统功率因数0.74。若将系统功率因数提到0.98，需要补偿多少无功容量？答：此系统呈现感性负载，为提高功率因数，可以采用400V低压就近补偿原则，

7、采用并联电容器方法补偿，补偿容量经查表可以求得：Qc=100*0.71=71(kvar)无功补偿计算程序cosQ/P=tancos补偿前0.80.4840.9cos1sin1tag10.810.4560.910.590.807403 1.368480.820.4260.920.830.3950.930.840.3630.940.850.3290.950.860.2920.960.870.2510.970.880.2030.980.890.1420.990.820.840.860.880.90.910.920.932.482.532.592.642.72.722.752.781.982.032.

8、082.142.192.222.252.281.591.651.71.751.811.841.871.91.291.341.391.441.51.531.561.59 （2）若用电用户没有安装功率因数表，功率因数可以从所装的电度表里直接读取有功功率和无功功率进行计算得出功率因数。即:cos=1SQRT(1+(tan)*(tan)=P/SQRT(P*P+Q*Q)=1/SQRT(1+(Q/P)*(Q/P)如果记录的某段时间内的有功功率P和无功功率Q可知，即可求出该段时间内的加权平均功率因数：补偿容量的确定：补偿容量的大小决定于电力负荷的大小、补偿前功率因数的大小和补偿后提高的功率因数的大小1kW有

9、功功率所需补偿电容器的补偿容量（kvar）补偿后cos21.031.091.141.191.251.281.311.340.991.041.091.151.21.231.261.290.9411.051.11.161.191.221.250.90.951.011.061.121.141.171.20.860.910.971.021.071.11.131.160.820.870.930.981.031.061.091.120.780.830.890.9411.021.051.080.740.80.850.90.960.991.021.050.710.760.810.860.920.950.981

10、.010.670.720.780.830.880.910.940.970.640.690.740.790.850.880.910.940.60.650.710.760.810.840.870.90.570.620.670.730.780.810.840.870.530.590.640.690.750.780.810.840.50.550.610.660.720.740.770.810.470.520.580.630.680.710.740.770.440.490.540.60.650.680.710.740.410.460.510.570.620.650.680.710.380.430.480

11、.540.590.620.650.680.350.40.460.510.560.590.620.650.320.370.430.480.540.560.590.620.290.350.40.450.510.540.570.60.270.320.370.420.480.510.540.570.240.290.340.40.450.480.510.540.210.260.320.370.420.450.480.510.180.240.290.340.40.430.460.490.160.210.260.320.370.40.430.460.130.180.240.290.340.370.40.43

12、0.10.160.210.260.320.350.380.410.080.130.180.240.290.320.350.380.050.10.160.210.270.290.320.350.030.080.130.180.240.270.30.3300.050.10.160.210.240.270.30.030.080.130.190.220.250.2800.050.110.160.190.220.250.030.080.140.160.190.2200.050.110.140.170.20.030.080.110.140.1700.060.080.110.140.030.060.090.

13、1200.030.060.0900.030.0600.0301、若一10/0.4kV电力系统有功负荷100kW，呈感性负责,系统功率因数0.74。若将系统功率因数提到0.98，需要补偿多少无功容量？答：此系统呈现感性负载，为提高功率因数，可以采用400V低压就近补偿原则，采用并联电容器方法补偿，补偿容量经查表可以求得：Qc=100*0.71=71(kvar)补偿后有功功率 补偿功率cos2sin2tag2P(kW)Q(kVAR)0.980.198997 0.20305911.170.940.950.960.970.980.9912.822.852.892.932.983.043.182.312

14、.352.382.432.472.532.681.931.9622.042.092.152.291.621.661.691.731.781.841.98无功补偿计算程序1.371.41.441.481.531.591.731.321.361.391.441.481.541.691.281.311.351.391.441.51.641.241.271.311.351.41.461.61.21.231.271.311.361.421.561.161.191.231.271.321.381.521.121.151.191.231.281.341.481.081.111.151.191.241.31.

15、441.041.081.111.151.21.261.41.011.041.081.121.171.231.370.9711.041.081.131.191.330.940.971.011.051.11.161.30.90.940.971.011.061.121.270.870.90.940.981.031.091.230.840.870.910.9511.061.20.810.840.880.920.971.031.170.780.810.850.890.9411.140.750.780.820.860.90.971.110.720.750.790.830.880.941.080.690.7

16、20.760.80.850.911.050.660.690.730.770.820.881.020.630.660.70.740.790.850.990.60.640.670.710.760.820.960.570.610.640.690.730.790.940.550.580.620.660.710.770.910.520.550.590.630.680.740.880.490.530.560.60.650.710.860.470.50.540.580.630.690.830.440.470.510.550.60.660.80.410.450.480.530.570.630.780.390.

17、420.460.50.550.610.750.360.40.430.470.520.580.720.340.370.410.450.490.560.70.310.340.380.420.470.530.670.280.320.350.40.440.50.650.260.290.330.370.420.480.620.230.260.30.340.390.450.590.20.240.280.320.360.420.570.180.210.250.290.340.40.540.150.180.220.260.310.370.510.120.160.190.230.280.340.480.090.130.160.20.250.310.460.060.10.130.180.220.280.430.030.070.10.140.190.250.400.030.070.110.160.220.36