Probabilistic small signal stability analysis of power system with wind power and photovoltaic power based on probability collocation method
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摘要
Recently, with increasing improvements in the penetration of wind power and photovoltaic power in the world, probabilistic small signal stability analysis(PSSSA) of a power system consisting of multiple types of renewable energy has become a key problem. To address this problem, this study proposes a probabilistic collocation method(PCM)-based PSSSA for a power system consisting of wind farms and photovoltaic farms. Compared with the conventional Monte Carlo method, the proposed method meets the accuracy and precision requirements and greatly reduces the computation; therefore, it is suitable for the PSSSA of this power system. Case studies are conducted based on a 4-machine 2-area and New England systems, respectively. The simulation results show that, by reducing synchronous generator output to improve the penetration of renewable energy, the probabilistic small signal stability(PSSS) of the system is enhanced. Conversely, by removing part of the synchronous generators to improve the penetration of renewable energy, the PSSS of the system may be either enhanced or deteriorated.
Recently, with increasing improvements in the penetration of wind power and photovoltaic power in the world, probabilistic small signal stability analysis(PSSSA) of a power system consisting of multiple types of renewable energy has become a key problem. To address this problem, this study proposes a probabilistic collocation method(PCM)-based PSSSA for a power system consisting of wind farms and photovoltaic farms. Compared with the conventional Monte Carlo method, the proposed method meets the accuracy and precision requirements and greatly reduces the computation; therefore, it is suitable for the PSSSA of this power system. Case studies are conducted based on a 4-machine 2-area and New England systems, respectively. The simulation results show that, by reducing synchronous generator output to improve the penetration of renewable energy, the probabilistic small signal stability(PSSS) of the system is enhanced. Conversely, by removing part of the synchronous generators to improve the penetration of renewable energy, the PSSS of the system may be either enhanced or deteriorated.
Recently, with increasing improvements in the penetration of wind power and photovoltaic power in the world, probabilistic small signal stability analysis(PSSSA) of a power system consisting of multiple types of renewable energy has become a key problem. To address this problem, this study proposes a probabilistic collocation method(PCM)-based PSSSA for a power system consisting of wind farms and photovoltaic farms. Compared with the conventional Monte Carlo method, the proposed method meets the accuracy and precision requirements and greatly reduces the computation; therefore, it is suitable for the PSSSA of this power system. Case studies are conducted based on a 4-machine 2-area and New England systems, respectively. The simulation results show that, by reducing synchronous generator output to improve the penetration of renewable energy, the probabilistic small signal stability(PSSS) of the system is enhanced. Conversely, by removing part of the synchronous generators to improve the penetration of renewable energy, the PSSS of the system may be either enhanced or deteriorated.
引文
[1]Dai H,Wang W,Chi Y(2007)New progress in the research of wind power integration into power system.Power system technology,31(20):16-23
[2]Xue Y,Lei X,Xue F et al(2014)The review on the influence of wind power uncertainty on power system.The Chinese Journal of Electrical Engineering,34(29):5029-5040
[3]Song D,Yang X,Ding Q et al(2011)A summary of the analysis and control method of low frequency oscillation in large-scale interconnected power grid.Power system technology,35(10):22-28
[4]Wang C,Shi L,Yao L et al(2010).Small disturbance stability analysis of large scale doubly fed wind farm.Proceedings of the Chinese Journal of electrical engineering,(4):63-70
[5]Burchett RC,Heydt GT(1978)Probabilistic methods for power system dynamic stability studies.IEEE Transactions on Power Apparatus and Systems 97(3):695-702
[6]Rueda JL,ColoméDG,Erlich I(2009)Assessment and enhancement of small signal stability considering uncertainties.IEEE Transactions on Power Systems,24(1):198-207
[7]Huang H,Chung C,Chan K et al(2013)Quasi-Monte Carlo based probabilistic small signal stability analysis for power systems with plug-in electric vehicle and wind power integration.IEEE Transactions on Power Systems,28(3):3335-3343
[8]Bian X,Huang X,Wong K et al(2014)Improvement on probabilistic small-signal stability of power system with largescale wind farm integration.International Journal of Electrical Power and Energy Systems,Vol.61,pp:482-488
[9]Bu S,Du W,Wang H et al(2012)Probabilistic analysis of small-signal stability of large-scale power systems as affected by penetration of wind generation.IEEE Transactions on Power Systems,27(2):762-770
[10]Yi H,Cheng S,Hou Y(2007)Power system small signal stability probability analysis based on point estimation.Automation of electric power systems,31(23):1-5
[11]Xu X,Lin T,Zha X(2009)Probabilistic analysis of small signal stability of microgrid using point estimate method.In:Proceeding of International Conference on Sustainable Power Generation Supply(SUPERGEN),Nanjing,China
[12]Hockenberry JR,Lesieutre BC(2004)Evaluation of uncertainty in dynamic simulations of power system models:the probabilistic collocation method.IEEE Transactions on Power Systems,19(3):1483-1491
[13]Wu S,Wu W,Zhang B et al(2012)Determination of fitting polynomial order in the evaluation of uncertainty of power system simulation.Power system technology,36(10):125-130
[14]Preece R,Milanovi?JV(2014)Tuning of a damping controller for multiterminal VSC-HVDC grids using the probabilistic collocation method.IEEE Transactions on Power Delivery,29(1):318-326
[15]Mei F,Pal BC(2005)Modelling and Small-Signal Analysis of a Grid Connected Doubly-Fed Induction Generator.IEEE Power Engineering Society General Meeting,16(3):2101-2108
[16]Hu X(2011)The probabilistic power flow analysis of distribution network with high penetration of distributed photovoltaic power generation system.Master’s degree thesis of North China Electric Power University,Dec.2011
[17]Sun H,Zhang M,Chen Z et al(2014)General electromechanical transient model of photovoltaic grid connected generation system and its comparison with electromagnetic transient model.Power system protection and control,42(3):128-133
[18]Kundur P,Balu NJ,Lauby MG(1994)Power system stability and control.New York:McGraw-Hill,1994
[19]Yue H(2014)Small disturbance probability stability of power system considering grid connected wind power random fluctuation.Doctoral Dissertation of North China Electric Power University,June 2014
[20]Du W(2011)Graphic interpretation method and its application to the analysis and control of low frequency oscillation in power system,May 2011
[21]Akhmatov V(2005)Induction Generators for Wind Power.Brentwood:Multi-Science Publishing,2005
[22]Liu J,Yao W,Wen J(2017)Small signal stability analysis and control of double-fed induction generator considering influence of PLL and power grid strength.Proceedings of the CSEE,37(11):3162-3173(in Chinese)
[2]Xue Y,Lei X,Xue F et al(2014)The review on the influence of wind power uncertainty on power system.The Chinese Journal of Electrical Engineering,34(29):5029-5040
[3]Song D,Yang X,Ding Q et al(2011)A summary of the analysis and control method of low frequency oscillation in large-scale interconnected power grid.Power system technology,35(10):22-28
[4]Wang C,Shi L,Yao L et al(2010).Small disturbance stability analysis of large scale doubly fed wind farm.Proceedings of the Chinese Journal of electrical engineering,(4):63-70
[5]Burchett RC,Heydt GT(1978)Probabilistic methods for power system dynamic stability studies.IEEE Transactions on Power Apparatus and Systems 97(3):695-702
[6]Rueda JL,ColoméDG,Erlich I(2009)Assessment and enhancement of small signal stability considering uncertainties.IEEE Transactions on Power Systems,24(1):198-207
[7]Huang H,Chung C,Chan K et al(2013)Quasi-Monte Carlo based probabilistic small signal stability analysis for power systems with plug-in electric vehicle and wind power integration.IEEE Transactions on Power Systems,28(3):3335-3343
[8]Bian X,Huang X,Wong K et al(2014)Improvement on probabilistic small-signal stability of power system with largescale wind farm integration.International Journal of Electrical Power and Energy Systems,Vol.61,pp:482-488
[9]Bu S,Du W,Wang H et al(2012)Probabilistic analysis of small-signal stability of large-scale power systems as affected by penetration of wind generation.IEEE Transactions on Power Systems,27(2):762-770
[10]Yi H,Cheng S,Hou Y(2007)Power system small signal stability probability analysis based on point estimation.Automation of electric power systems,31(23):1-5
[11]Xu X,Lin T,Zha X(2009)Probabilistic analysis of small signal stability of microgrid using point estimate method.In:Proceeding of International Conference on Sustainable Power Generation Supply(SUPERGEN),Nanjing,China
[12]Hockenberry JR,Lesieutre BC(2004)Evaluation of uncertainty in dynamic simulations of power system models:the probabilistic collocation method.IEEE Transactions on Power Systems,19(3):1483-1491
[13]Wu S,Wu W,Zhang B et al(2012)Determination of fitting polynomial order in the evaluation of uncertainty of power system simulation.Power system technology,36(10):125-130
[14]Preece R,Milanovi?JV(2014)Tuning of a damping controller for multiterminal VSC-HVDC grids using the probabilistic collocation method.IEEE Transactions on Power Delivery,29(1):318-326
[15]Mei F,Pal BC(2005)Modelling and Small-Signal Analysis of a Grid Connected Doubly-Fed Induction Generator.IEEE Power Engineering Society General Meeting,16(3):2101-2108
[16]Hu X(2011)The probabilistic power flow analysis of distribution network with high penetration of distributed photovoltaic power generation system.Master’s degree thesis of North China Electric Power University,Dec.2011
[17]Sun H,Zhang M,Chen Z et al(2014)General electromechanical transient model of photovoltaic grid connected generation system and its comparison with electromagnetic transient model.Power system protection and control,42(3):128-133
[18]Kundur P,Balu NJ,Lauby MG(1994)Power system stability and control.New York:McGraw-Hill,1994
[19]Yue H(2014)Small disturbance probability stability of power system considering grid connected wind power random fluctuation.Doctoral Dissertation of North China Electric Power University,June 2014
[20]Du W(2011)Graphic interpretation method and its application to the analysis and control of low frequency oscillation in power system,May 2011
[21]Akhmatov V(2005)Induction Generators for Wind Power.Brentwood:Multi-Science Publishing,2005
[22]Liu J,Yao W,Wen J(2017)Small signal stability analysis and control of double-fed induction generator considering influence of PLL and power grid strength.Proceedings of the CSEE,37(11):3162-3173(in Chinese)