计及分布式电源无功特性的弱环配电网复仿射潮流算法
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摘要
为解决前推回代复仿射潮流算法在弱环及多分布式电源(DG)接口类型配电网中的适用性问题,在详细分析前推回代复仿射潮流计算特点的基础上,引入基于道路矩阵的回路分析法来解决该适应性问题。随后,针对仿射算术无法在区间不确定性条件下准确描述DG无功控制特性的不足,采用无功灵敏度矩阵与电压灵敏度矩阵两步修正的方式,提出了可计及DG无功控制特性的复仿射潮流改进算法。最后,基于IEEE 33节点系统、PG&E 69节点系统以及实际113节点系统扩展的含多DG接口类型的不同规模配电网验证了所提算法的有效性与准确性。
In order to solve the applicability problems of the back/forward sweep complex affine arithmetic based power flow(CAA-PF) algorithm to the weak-mesh distribution with multi-type of distributed generators(DGs), based on the detailed calculation characteristics analysis of the back/forward sweep CAA-PF algorithm, the loop analysis based on path matrix is adopted. In terms of the limits of the affine arithmetic in describing the reactive power uncertainty characteristics of DG, an improved CAA-PF algorithm using two-step correction of the reactive power and voltage sensitivity matrices is developed. Tests on the modified distribution networks with different scales based on the IEEE 33-node system, PG&E 69-node system and a real 113-node system with multi-type DG interconnections validate the effectiveness and applicability of the proposed algorithm.
In order to solve the applicability problems of the back/forward sweep complex affine arithmetic based power flow(CAA-PF) algorithm to the weak-mesh distribution with multi-type of distributed generators(DGs), based on the detailed calculation characteristics analysis of the back/forward sweep CAA-PF algorithm, the loop analysis based on path matrix is adopted. In terms of the limits of the affine arithmetic in describing the reactive power uncertainty characteristics of DG, an improved CAA-PF algorithm using two-step correction of the reactive power and voltage sensitivity matrices is developed. Tests on the modified distribution networks with different scales based on the IEEE 33-node system, PG&E 69-node system and a real 113-node system with multi-type DG interconnections validate the effectiveness and applicability of the proposed algorithm.
引文
[1] 王成山,李鹏,于浩.智能配电网的新形态及其灵活性特征分析与应用[J].电力系统自动化,2018,42(10):13-21.DOI:10.7500/AEPS20171012002.WANG Chengshan, LI Peng, YU Hao. Development and characteristic analysis of flexibility in smart distribution network[J]. Automation of Electric Power Systems, 2018, 42(10): 13-21. DOI: 10.7500/AEPS20171012002.
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[3] AI Xiaomeng, WEN Jinyu, WU Tong, et al. A discrete point estimate method for probabilistic load flow based on the measured data of wind power[J]. IEEE Transactions on Industry Applications, 2013, 49(5): 2244-2252.
[4] 叶林,张亚丽,李强,等.采用分段离散化和高斯混合模型的多场景概率潮流计算[J].电力系统自动化,2017,41(12):131-137.DOI:10.7500/AEPS20160923009.YE Lin, ZHANG Yali, LI Qiang, et al. Calculation of multi-scenario probabilistic power flow based on piecewise and Gaussian mixture model[J]. Automation of Electric Power Systems, 2017, 41(12): 131-137. DOI: 10.7500/AEPS 20160923009.
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[10] BISWAUP D. Radial distribution system power flow using interval arithmetic[J]. International Journal of Electrical Power & Energy Systems, 2002, 24(10): 827-836.
[11] 王成山,王守相.基于区间算法的配电网三相潮流计算及算例分析[J].中国电机工程学报,2002,22(3):58-62.WANG Chengshan, WANG Shouxiang. Distribution three-phase power flow based on interval algorithm and test results[J]. Proceedings of the CSEE, 2002, 22(3): 58-62.
[12] DE FIGUEIREDO L H, STOLFI J. Affine arithmetic: concepts and applications[J]. Numerical Algorithms, 2004, 37(1/2/3/4): 147-158.
[13] VACCARO A, CANIZARES C A, VILLACCI D. An affine arithmetic-based methodology for reliable power flow analysis in the presence of data uncertainty[J]. IEEE Transactions on Power Systems, 2010, 25(2): 624-632.
[14] 丁涛,崔翰韬,顾伟,等.基于区间和仿射运算的不确定潮流算法[J].电力系统自动化,2012,36(13):51-55.DING Tao, CUI Hantao, GU Wei, et al. An uncertainty power flow algorithm based on interval and affine arithmetic[J]. Automation of Electric Power Systems, 2012, 36(13): 51-55.
[15] 敖鑫,王淳.配电网区间线性三相潮流的非迭代仿射求逆计算方法[J].电力系统自动化,2018,42(15):150-156.DOI:10.7500/AEPS20170915008.AO Xin, WANG Chun. Non-iterative affine inverse algorithm for interval linear three-phase power flow calculation of distribution networks[J]. Automation of Electric Power Systems, 2018, 42(15): 150-156. DOI: 10.7500/AEPS 20170915008.
[16] 韩亮,王守相.含光伏风电的基于仿射算法的配电三相潮流计算[J].电网技术,2013,37(12):3413-3418.HAN Liang, WANG Shouxiang. Affine algorithm based calculation of three-phase power flow in distribution network connected with PV generation and wind generation[J]. Power System Technology, 2013, 37(12): 3413-3418.
[17] 王守相,韩亮.DG出力不确定性对配电网影响力分析的复仿射数学方法[J].中国电机工程学报,2014,34(31):5507-5515.WANG Shouxiang, HAN Liang. Complex affine arithmetic based method for the analyses of DG’s uncertainty influence on distribution network[J]. Proceedings of the CSEE, 2014, 34(31): 5507-5515.
[18] WANG Shouxiang, HAN Liang, WU Lei. Uncertainty tracing of distributed generations via complex affine arithmetic based unbalanced three-phase power flow[J]. IEEE Transactions on Power Systems, 2015, 30(6): 3053-3062.
[19] 陈鹏伟,陶顺,肖湘宁,等.配电网电压不确定水平区间分析模型[J].中国电机工程学报,2018,38(4):1035-1044.CHEN Pengwei, TAO Shun, XIAO Xiangning, et al. An interval model to analyze the voltage levels of uncertainty in distribution network[J]. Proceedings of the CSEE, 2018, 38(4): 1035-1044.
[20] MANSON G. Calculating frequency response functions for uncertain systems using complex affine analysis[J]. Journal of Sound and Vibration, 2005, 288(3): 487-521.
[21] 王树洪,邵振国.考虑DG运行不确定性的复仿射Ybus高斯迭代区间潮流算法[J].电力自动化设备,2017,37(3):38-44.WANG Shuhong, SHAO Zhenguo. Interval power-flow algorithm based on complex affine Ybus-Gaussian iteration considering uncertainty of DG operation[J]. Electric Power Automation Equipment, 2017, 37(3): 38-44.
[22] 李红伟,张安安.含PV型分布式电源的弱环配电网三相潮流计算[J].中国电机工程学报,2012,32(4):128-135.LI Hongwei, ZHANG Anan. Three-phase power flow solution for weakly meshed distribution system including PV-type distributed generation[J]. Proceedings of the CSEE, 2012, 32(4): 128-135.
[23] BIDGOLI H S, VAN CUTSEM T. Combined local and centralized voltage control in active distribution networks[J]. IEEE Transactions on Power Systems, 2018, 33(2): 1374-1384.
[24] 张立梅,唐巍.计及分布式电源的配电网前推回代潮流计算[J].电工技术学报,2010,25(8):123-130.ZHANG Limei, TANG Wei. Back/forward sweep power flow calculation method of distribution networks with DGs[J]. Transactions of China Electrotechnical Society, 2010, 25(8): 123-130.
[2] 陶顺,陈鹏伟,肖湘宁,等.智能配电网不确定性建模与供电特征优化技术综述[J].电工技术学报,2017,32(10):77-91.TAO Shun, CHEN Pengwei, XIAO Xiangning, et al. Review on uncertainty modeling and power supply characteristics optimization technology in smart distribution network[J]. Transactions of China Electrotechnical Society, 2017, 32(10): 77-91.
[3] AI Xiaomeng, WEN Jinyu, WU Tong, et al. A discrete point estimate method for probabilistic load flow based on the measured data of wind power[J]. IEEE Transactions on Industry Applications, 2013, 49(5): 2244-2252.
[4] 叶林,张亚丽,李强,等.采用分段离散化和高斯混合模型的多场景概率潮流计算[J].电力系统自动化,2017,41(12):131-137.DOI:10.7500/AEPS20160923009.YE Lin, ZHANG Yali, LI Qiang, et al. Calculation of multi-scenario probabilistic power flow based on piecewise and Gaussian mixture model[J]. Automation of Electric Power Systems, 2017, 41(12): 131-137. DOI: 10.7500/AEPS 20160923009.
[5] MATOS M A, EDUARDO G. The fuzzy power flow revisited[J]. IEEE Transactions on Power Systems, 2008, 23(1): 213-218.
[6] BIJWE P R, VISWANADHA RAJU G K. Fuzzy distribution power flow for weakly meshed systems[J]. IEEE Transactions on Power Systems, 2006, 21(4): 1645-1652.
[7] 廖小兵,刘开培,张亚超,等.基于区间泰勒展开的不确定性潮流分析[J].电工技术学报,2018,33(4):750-758.LIAO Xiaobing, LIU Kaipei, ZHANG Yachao, et al. Uncertain power flow analysis based on interval Taylor expansion[J]. Transactions of China Electrotechnical Society, 2018, 33(4): 750-758.
[8] WANG Zian, ALVARADO F L. Interval arithmetic in power flow analysis[J]. IEEE Transactions on Power Systems, 1992, 7(3): 1341-1349.
[9] 裴爱华,刘明波,张弛.考虑负荷不确定性的区间潮流计算方法[J].电力系统及其自动化学报,2004,16(6):24-27.PEI Aihua, LIU Mingbo, ZHANG Chi. Interval algorithm for power flow calculation with uncertain load[J]. Proceedings of the CSU-EPSA, 2004, 16(6): 24-27.
[10] BISWAUP D. Radial distribution system power flow using interval arithmetic[J]. International Journal of Electrical Power & Energy Systems, 2002, 24(10): 827-836.
[11] 王成山,王守相.基于区间算法的配电网三相潮流计算及算例分析[J].中国电机工程学报,2002,22(3):58-62.WANG Chengshan, WANG Shouxiang. Distribution three-phase power flow based on interval algorithm and test results[J]. Proceedings of the CSEE, 2002, 22(3): 58-62.
[12] DE FIGUEIREDO L H, STOLFI J. Affine arithmetic: concepts and applications[J]. Numerical Algorithms, 2004, 37(1/2/3/4): 147-158.
[13] VACCARO A, CANIZARES C A, VILLACCI D. An affine arithmetic-based methodology for reliable power flow analysis in the presence of data uncertainty[J]. IEEE Transactions on Power Systems, 2010, 25(2): 624-632.
[14] 丁涛,崔翰韬,顾伟,等.基于区间和仿射运算的不确定潮流算法[J].电力系统自动化,2012,36(13):51-55.DING Tao, CUI Hantao, GU Wei, et al. An uncertainty power flow algorithm based on interval and affine arithmetic[J]. Automation of Electric Power Systems, 2012, 36(13): 51-55.
[15] 敖鑫,王淳.配电网区间线性三相潮流的非迭代仿射求逆计算方法[J].电力系统自动化,2018,42(15):150-156.DOI:10.7500/AEPS20170915008.AO Xin, WANG Chun. Non-iterative affine inverse algorithm for interval linear three-phase power flow calculation of distribution networks[J]. Automation of Electric Power Systems, 2018, 42(15): 150-156. DOI: 10.7500/AEPS 20170915008.
[16] 韩亮,王守相.含光伏风电的基于仿射算法的配电三相潮流计算[J].电网技术,2013,37(12):3413-3418.HAN Liang, WANG Shouxiang. Affine algorithm based calculation of three-phase power flow in distribution network connected with PV generation and wind generation[J]. Power System Technology, 2013, 37(12): 3413-3418.
[17] 王守相,韩亮.DG出力不确定性对配电网影响力分析的复仿射数学方法[J].中国电机工程学报,2014,34(31):5507-5515.WANG Shouxiang, HAN Liang. Complex affine arithmetic based method for the analyses of DG’s uncertainty influence on distribution network[J]. Proceedings of the CSEE, 2014, 34(31): 5507-5515.
[18] WANG Shouxiang, HAN Liang, WU Lei. Uncertainty tracing of distributed generations via complex affine arithmetic based unbalanced three-phase power flow[J]. IEEE Transactions on Power Systems, 2015, 30(6): 3053-3062.
[19] 陈鹏伟,陶顺,肖湘宁,等.配电网电压不确定水平区间分析模型[J].中国电机工程学报,2018,38(4):1035-1044.CHEN Pengwei, TAO Shun, XIAO Xiangning, et al. An interval model to analyze the voltage levels of uncertainty in distribution network[J]. Proceedings of the CSEE, 2018, 38(4): 1035-1044.
[20] MANSON G. Calculating frequency response functions for uncertain systems using complex affine analysis[J]. Journal of Sound and Vibration, 2005, 288(3): 487-521.
[21] 王树洪,邵振国.考虑DG运行不确定性的复仿射Ybus高斯迭代区间潮流算法[J].电力自动化设备,2017,37(3):38-44.WANG Shuhong, SHAO Zhenguo. Interval power-flow algorithm based on complex affine Ybus-Gaussian iteration considering uncertainty of DG operation[J]. Electric Power Automation Equipment, 2017, 37(3): 38-44.
[22] 李红伟,张安安.含PV型分布式电源的弱环配电网三相潮流计算[J].中国电机工程学报,2012,32(4):128-135.LI Hongwei, ZHANG Anan. Three-phase power flow solution for weakly meshed distribution system including PV-type distributed generation[J]. Proceedings of the CSEE, 2012, 32(4): 128-135.
[23] BIDGOLI H S, VAN CUTSEM T. Combined local and centralized voltage control in active distribution networks[J]. IEEE Transactions on Power Systems, 2018, 33(2): 1374-1384.
[24] 张立梅,唐巍.计及分布式电源的配电网前推回代潮流计算[J].电工技术学报,2010,25(8):123-130.ZHANG Limei, TANG Wei. Back/forward sweep power flow calculation method of distribution networks with DGs[J]. Transactions of China Electrotechnical Society, 2010, 25(8): 123-130.
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