Calculation of static voltage stability margin(SVSM)of AC/DC power systems with lots of renewable energy sources(RESs)integration requires consideration of uncertain load growth and renewable energy generation output....Calculation of static voltage stability margin(SVSM)of AC/DC power systems with lots of renewable energy sources(RESs)integration requires consideration of uncertain load growth and renewable energy generation output.This paper presents a bi-level optimal power flow(BLOPF)model to identify the worst-case SVSM of an AC/DC power system with line commutation converter-based HVDC and multi-terminal voltage sourced converter-based HVDC transmission lines.Constraints of uncertain load growth’s hypercone model and control mode switching of DC converter stations are considered in the BLOPF model.Moreover,uncertain RES output fluctuations are described as intervals,and two three-level optimal power flow(TLOPF)models are established to identify interval bounds of the system worst-case SVSM.The two TLOPF models are both transformed into max–min bi-level optimization models according to independent characteristics of different uncertain variables.Then,transforming the inner level model into its dual form,max–min BLOPF models are simplified to single-level optimization models for direct solution.Calculation results on the modified IEEE-39 bus AC/DC case and an actual large-scale AC/DC case in China indicate correctness and efficiency of the proposed identification method.展开更多
Since the aerodynamic center moving backward sharply in hypersonic flight,the stability margin of the hypersonic vehicle increases largely while the maneuverability decreases.We proposed a novel method to solve this c...Since the aerodynamic center moving backward sharply in hypersonic flight,the stability margin of the hypersonic vehicle increases largely while the maneuverability decreases.We proposed a novel method to solve this contradiction.We used relaxed static stability(RSS)to improve the maneuverability in hypersonic flight,and designed the stability augmentation system(SAS)to ensure the stability in subsonic flight.Therefore,the relationship between static stability and maneuverability was quantitatively analyzed in the first step,and the numerical value of RSS was obtained on the premise of good maneuverability.Secondly,the relationship between static stability and aerodynamic parameters was quantitatively analyzed.We properly adjusted aerodynamic parameters based on the quantitative relationship to achieve the specific static stability set in the first step,and therefore provided the engineering realization methods.The vehicle will be statically unstable in subsonic flight with the specific static stability.Lastly,SAS was needed to ensure the stability of the vehicle in subsonic flight.Simulation studies were conducted by comparing the linear SAS to the nonlinear SAS,and the results showed that the nonlinear dynamicinversion controller can synthesize with proportional-integrall-derivative(PID)controller robustly and stabilize the hypersonic vehicle.展开更多
随着新能源发电技术与直流输电技术在大电网中的广泛应用,需要提出含新能源的交直流混联电网静态电压稳定分析方法。为此,该文针对含常规直流输电和多端柔性直流输电的交直流混联电网,采用区间数描述新能源电站出力的不确定波动,建立了...随着新能源发电技术与直流输电技术在大电网中的广泛应用,需要提出含新能源的交直流混联电网静态电压稳定分析方法。为此,该文针对含常规直流输电和多端柔性直流输电的交直流混联电网,采用区间数描述新能源电站出力的不确定波动,建立了交直流混联电网静态电压稳定裕度(static voltage stability margin,SVSM)区间计算的2个双层最优潮流模型,即计算SVSM区间上界的min-min模型和计算SVSM区间下界的max-min模型。计算区间SVSM上界的min-min双层优化模型可直接合并为单层优化模型求解。计算SVSM区间下界的max-min模型需要先通过二阶锥松弛和凸包络松弛等方法将内层模型转化为凸规划模型,并通过对偶优化理论得到内层凸规划模型的对偶规划模型,进而转化为单层优化模型求解。通过对修改后的IEEE-39节点系统和南方电网2个交直流混联电网算例的计算分析,并与蒙特卡洛抽样法和拉丁超立方抽样法的计算结果比较,验证了所提出方法的正确性与高效性。展开更多
静态电压稳定极限(static voltage stability limit,SVSL)是电压稳定分析中的一个重要指标。然而,新能源出力的不确定性将导致SVSL的波动。基于二阶锥优化(second order coneprogramming,SOCP),该文提出一种迭代算法,可用于跟踪环网SVSL...静态电压稳定极限(static voltage stability limit,SVSL)是电压稳定分析中的一个重要指标。然而,新能源出力的不确定性将导致SVSL的波动。基于二阶锥优化(second order coneprogramming,SOCP),该文提出一种迭代算法,可用于跟踪环网SVSL或PV曲线的波动区间。首先提出扩展二阶锥最优潮流模型,表明能够通过一系列SOCP计算环网SVSL。然后,基于扩展二阶锥最优潮流模型,采用平行多面体非概率凸模型描述相关不确定性,建立max-min和min-min两个双层优化模型计算SVSL波动区间上、下限。提出通过二阶锥优化、线性优化交替优化原变量和对偶变量的方法求解该模型。最后,在多个IEEE标准系统上对所提算法进行了测试。结果表明,与其他区间方法相比,所提算法在具备通用性的同时,也具备更好的鲁棒性和准确性。展开更多
基金supported by the National Natural Science Foundation of China(Grant No.51977080)the Natural Science Foundation of Guangdong Province(Grant No.2022A1515010332)supported by the U.S.National Science Foundation(Grant#2124849).
文摘Calculation of static voltage stability margin(SVSM)of AC/DC power systems with lots of renewable energy sources(RESs)integration requires consideration of uncertain load growth and renewable energy generation output.This paper presents a bi-level optimal power flow(BLOPF)model to identify the worst-case SVSM of an AC/DC power system with line commutation converter-based HVDC and multi-terminal voltage sourced converter-based HVDC transmission lines.Constraints of uncertain load growth’s hypercone model and control mode switching of DC converter stations are considered in the BLOPF model.Moreover,uncertain RES output fluctuations are described as intervals,and two three-level optimal power flow(TLOPF)models are established to identify interval bounds of the system worst-case SVSM.The two TLOPF models are both transformed into max–min bi-level optimization models according to independent characteristics of different uncertain variables.Then,transforming the inner level model into its dual form,max–min BLOPF models are simplified to single-level optimization models for direct solution.Calculation results on the modified IEEE-39 bus AC/DC case and an actual large-scale AC/DC case in China indicate correctness and efficiency of the proposed identification method.
基金supported in part by the National Natural Science Foundation of China(Nos.61673209,61741313)the Funding of Jiangsu Innovation Program for Graduate Education(No.CXZZ13_0170)+3 种基金the Funding for Outstanding Doctoral Dissertation in NUAA(No.BCXJ13-06)the Jiangsu Six Peak of Talents Program(No.KTHY-027)the Funding of China Launch Vehicle Technology Innovation Program of University and Institute(No.CALT201503)the Aeronautical Science Foundation(No.2016ZA52009)
文摘Since the aerodynamic center moving backward sharply in hypersonic flight,the stability margin of the hypersonic vehicle increases largely while the maneuverability decreases.We proposed a novel method to solve this contradiction.We used relaxed static stability(RSS)to improve the maneuverability in hypersonic flight,and designed the stability augmentation system(SAS)to ensure the stability in subsonic flight.Therefore,the relationship between static stability and maneuverability was quantitatively analyzed in the first step,and the numerical value of RSS was obtained on the premise of good maneuverability.Secondly,the relationship between static stability and aerodynamic parameters was quantitatively analyzed.We properly adjusted aerodynamic parameters based on the quantitative relationship to achieve the specific static stability set in the first step,and therefore provided the engineering realization methods.The vehicle will be statically unstable in subsonic flight with the specific static stability.Lastly,SAS was needed to ensure the stability of the vehicle in subsonic flight.Simulation studies were conducted by comparing the linear SAS to the nonlinear SAS,and the results showed that the nonlinear dynamicinversion controller can synthesize with proportional-integrall-derivative(PID)controller robustly and stabilize the hypersonic vehicle.
文摘随着新能源发电技术与直流输电技术在大电网中的广泛应用,需要提出含新能源的交直流混联电网静态电压稳定分析方法。为此,该文针对含常规直流输电和多端柔性直流输电的交直流混联电网,采用区间数描述新能源电站出力的不确定波动,建立了交直流混联电网静态电压稳定裕度(static voltage stability margin,SVSM)区间计算的2个双层最优潮流模型,即计算SVSM区间上界的min-min模型和计算SVSM区间下界的max-min模型。计算区间SVSM上界的min-min双层优化模型可直接合并为单层优化模型求解。计算SVSM区间下界的max-min模型需要先通过二阶锥松弛和凸包络松弛等方法将内层模型转化为凸规划模型,并通过对偶优化理论得到内层凸规划模型的对偶规划模型,进而转化为单层优化模型求解。通过对修改后的IEEE-39节点系统和南方电网2个交直流混联电网算例的计算分析,并与蒙特卡洛抽样法和拉丁超立方抽样法的计算结果比较,验证了所提出方法的正确性与高效性。
文摘静态电压稳定极限(static voltage stability limit,SVSL)是电压稳定分析中的一个重要指标。然而,新能源出力的不确定性将导致SVSL的波动。基于二阶锥优化(second order coneprogramming,SOCP),该文提出一种迭代算法,可用于跟踪环网SVSL或PV曲线的波动区间。首先提出扩展二阶锥最优潮流模型,表明能够通过一系列SOCP计算环网SVSL。然后,基于扩展二阶锥最优潮流模型,采用平行多面体非概率凸模型描述相关不确定性,建立max-min和min-min两个双层优化模型计算SVSL波动区间上、下限。提出通过二阶锥优化、线性优化交替优化原变量和对偶变量的方法求解该模型。最后,在多个IEEE标准系统上对所提算法进行了测试。结果表明,与其他区间方法相比,所提算法在具备通用性的同时,也具备更好的鲁棒性和准确性。
