How to comprehensively consider the power flow constraints and various stability constraints in a series of power system optimization problems without affecting the calculation speed is always a problem.The computatio...How to comprehensively consider the power flow constraints and various stability constraints in a series of power system optimization problems without affecting the calculation speed is always a problem.The computational burden of probabilistic security assessment is even more unimaginable.In order to solve such problems,a security region(SR)methodology is proposed,which is a brand-new methodology developed on the basis of the classical point-wise method.Tianjin University has been studying the SR methodology since the 1980s,and has achieved a series of original breakthroughs that are described in this paper.The integrated SR introduced in this paper is mainly defined in the power injection space,and includes SRs to ensure steady-state security,transient stability,static voltage stability,and smalldisturbance stability.These SRs are uniquely determined for a given network topology(as well as location and clearing process for transient faults)and given system component parameters,and are irrelevant to operation states.This paper presents 11 facts and related remarks to introduce the basic concepts,composition,dynamics nature,and topological and geometric characteristics of SRs.It also provides a practical mathematical description of SR boundaries and fast calculation methods to determine them in a concise and systematic way.Thus,this article provides support for the systematic understanding,future research,and applications of SRs.The most critical finding on the topological and geometric characteristics of SRs is that,within the scope of engineering concern,the practical boundaries of SRs in the power injection space can be approximated by one or a few hyperplanes.Based on this finding,the calculation time for power system probabilistic security assessment(i.e.,risk analysis)and power system optimization with security constraints can be decreased by orders of magnitude.展开更多
The paper presents a practical dynamic security region (PDSR) based dynamic security risk assessment and optimization model for power transmission system. The cost of comprehensive security control and the influence o...The paper presents a practical dynamic security region (PDSR) based dynamic security risk assessment and optimization model for power transmission system. The cost of comprehensive security control and the influence of uncertainties of power injections are considered in the model of dynamic security risk assessment. The transient stability constraints and uncertainties of power injections can be considered easily by PDSR in form of hyper-box. A method to define and classify contingency set is presented, and a risk control optimization model is given which takes total dynamic insecurity risk as the objective function for a dominant con-tingency set. An optimal solution of dynamic insecurity risk is obtained by opti-mizing preventive and emergency control cost and contingency set decomposition. The effectiveness of this model has been proved by test results on the New Eng-land 10-genarator 39-bus system.展开更多
This paper develops a novel model and an algorithm of security region based real and reactive power pricing of power systems.In the proposed model,the reactive power production cost is represented as the opportunity c...This paper develops a novel model and an algorithm of security region based real and reactive power pricing of power systems.In the proposed model,the reactive power production cost is represented as the opportunity cost.The static voltage stability region in the cut set power space(CVSR) and the practical dynamic security region(PDSR) in the injection power space are used to represent the constraints of voltage stability and transient stability,so that the consideration of this kind of constraints in the optimization becomes very easy.In the proposed algorithm,a decoupled optimization and iteration method of active power production cost and reactive power production cost is suggested.According to the K-T optimality conditions,the prices of active power and reactive power,and the different components corresponding to the concerned security constraints are derived.The components of spot prices can reflect the influence of different node power injections on each kind of security constraints,so that through the node price all of the participants in power market can be stimulated to take an active part in maintaining the system security.An illustrative example on the New England 10-genetator 39-bus System is used to demonstrate the proposed method.展开更多
Determining security/stability boundaries is a common and critical means of preventing cascading failures induced by voltage-related issues,which represents one of the major challenges in bulk power systems.However,tr...Determining security/stability boundaries is a common and critical means of preventing cascading failures induced by voltage-related issues,which represents one of the major challenges in bulk power systems.However,traditional approaches suffer from conservative issues and heavy computational burdens.To address these challenges,the concept of an autonomous-synergic voltage security region(AS-VSR)and the corresponding dynamic constraint coefficient pruning(DCCP)computation method,which fully consider the volt/var characteristics of bulk power systems,are proposed in this letter.Both linearized and nonlinearized robust optimization problems are introduced to obtain accurate results.The computational accuracy,time cost,and advantages of autonomous-synergic control are observed in the simulation results.展开更多
针对电力系统安全性问题特性,提出一种基于动态安全域的安全概率评估模型。模型核心是不安全概率指标,并通过该指标来表征各电力元件以及整个电力系统的安全性状况。概率方法的引入,使得模型不仅计及系统中各种主要的不确定性因素,而且...针对电力系统安全性问题特性,提出一种基于动态安全域的安全概率评估模型。模型核心是不安全概率指标,并通过该指标来表征各电力元件以及整个电力系统的安全性状况。概率方法的引入,使得模型不仅计及系统中各种主要的不确定性因素,而且对系统的安全状况进行了定量的描述。动态安全域理论大大降低了安全概率评估的计算量,使得该模型具有实用性。评估结果可以用于指导运行人员在安全控制中制定正确的决策。用新英格兰10机39节点系统(New England 10-generator 39-bussystem)对该模型做了验证。展开更多
动态安全域(DSR)是电力系统稳定分析的重要内容,实用动态安全域(PDSR)由描述各节点注入功率上、下限的垂直于坐标轴的超平面和描述暂态稳定性临界点的超平面围成。结合轨迹灵敏度法和高阶Taylor技术,推导轨迹灵敏度的高阶Taylor级数递...动态安全域(DSR)是电力系统稳定分析的重要内容,实用动态安全域(PDSR)由描述各节点注入功率上、下限的垂直于坐标轴的超平面和描述暂态稳定性临界点的超平面围成。结合轨迹灵敏度法和高阶Taylor技术,推导轨迹灵敏度的高阶Taylor级数递推求解形式。基于势能界面(PEBS)法和高阶Taylor级数轨迹灵敏度技术,快速有效地计算能量裕度灵敏度,从而迭代求解临界功率注入点。利用临界功率点的能量裕度灵敏度数值,求解电力系统有功功率注入空间上的PDSR。New England 10机39节点系统的仿真结果验证了所提方法的有效性。展开更多
动态安全域(DSR)的暂态稳定边界可以近似表示为超平面,由此提出了一种DSR的快速求解方法。该方法分别对事故前系统的稳定运行点、事故中系统的故障轨迹和事故后系统的暂态稳定性进行有功功率的小扰动分析,然后依据整个暂态响应过程中状...动态安全域(DSR)的暂态稳定边界可以近似表示为超平面,由此提出了一种DSR的快速求解方法。该方法分别对事故前系统的稳定运行点、事故中系统的故障轨迹和事故后系统的暂态稳定性进行有功功率的小扰动分析,然后依据整个暂态响应过程中状态变量的连续性,将不同阶段的分析结果联系起来,最终推导出了超平面形式的DSR解析表达式。应用暂态能量函数分析给出了注入空间上的实用动态安全判据,以此来量化暂态稳定性指标,从而实现对事故后系统的有功功率小扰动分析。该方法的有效性在New England 10机39节点系统上得到了验证。展开更多
文摘How to comprehensively consider the power flow constraints and various stability constraints in a series of power system optimization problems without affecting the calculation speed is always a problem.The computational burden of probabilistic security assessment is even more unimaginable.In order to solve such problems,a security region(SR)methodology is proposed,which is a brand-new methodology developed on the basis of the classical point-wise method.Tianjin University has been studying the SR methodology since the 1980s,and has achieved a series of original breakthroughs that are described in this paper.The integrated SR introduced in this paper is mainly defined in the power injection space,and includes SRs to ensure steady-state security,transient stability,static voltage stability,and smalldisturbance stability.These SRs are uniquely determined for a given network topology(as well as location and clearing process for transient faults)and given system component parameters,and are irrelevant to operation states.This paper presents 11 facts and related remarks to introduce the basic concepts,composition,dynamics nature,and topological and geometric characteristics of SRs.It also provides a practical mathematical description of SR boundaries and fast calculation methods to determine them in a concise and systematic way.Thus,this article provides support for the systematic understanding,future research,and applications of SRs.The most critical finding on the topological and geometric characteristics of SRs is that,within the scope of engineering concern,the practical boundaries of SRs in the power injection space can be approximated by one or a few hyperplanes.Based on this finding,the calculation time for power system probabilistic security assessment(i.e.,risk analysis)and power system optimization with security constraints can be decreased by orders of magnitude.
基金Supported by the key research of the National Natural Science Foundation of China (Grant No. 50595413) The National Basic Research Program of China (973 Program) (Grant No. 2004CB217904)
文摘The paper presents a practical dynamic security region (PDSR) based dynamic security risk assessment and optimization model for power transmission system. The cost of comprehensive security control and the influence of uncertainties of power injections are considered in the model of dynamic security risk assessment. The transient stability constraints and uncertainties of power injections can be considered easily by PDSR in form of hyper-box. A method to define and classify contingency set is presented, and a risk control optimization model is given which takes total dynamic insecurity risk as the objective function for a dominant con-tingency set. An optimal solution of dynamic insecurity risk is obtained by opti-mizing preventive and emergency control cost and contingency set decomposition. The effectiveness of this model has been proved by test results on the New Eng-land 10-genarator 39-bus system.
基金the key research project of the National Natural Science Foundation of China(Grant No.50595413)
文摘This paper develops a novel model and an algorithm of security region based real and reactive power pricing of power systems.In the proposed model,the reactive power production cost is represented as the opportunity cost.The static voltage stability region in the cut set power space(CVSR) and the practical dynamic security region(PDSR) in the injection power space are used to represent the constraints of voltage stability and transient stability,so that the consideration of this kind of constraints in the optimization becomes very easy.In the proposed algorithm,a decoupled optimization and iteration method of active power production cost and reactive power production cost is suggested.According to the K-T optimality conditions,the prices of active power and reactive power,and the different components corresponding to the concerned security constraints are derived.The components of spot prices can reflect the influence of different node power injections on each kind of security constraints,so that through the node price all of the participants in power market can be stimulated to take an active part in maintaining the system security.An illustrative example on the New England 10-genetator 39-bus System is used to demonstrate the proposed method.
基金supported in part by the National Natural Science Foundation of China (No.52007017)Fundamental Research Funds for the Central Universities (No.2020CDJQY-A027)。
文摘Determining security/stability boundaries is a common and critical means of preventing cascading failures induced by voltage-related issues,which represents one of the major challenges in bulk power systems.However,traditional approaches suffer from conservative issues and heavy computational burdens.To address these challenges,the concept of an autonomous-synergic voltage security region(AS-VSR)and the corresponding dynamic constraint coefficient pruning(DCCP)computation method,which fully consider the volt/var characteristics of bulk power systems,are proposed in this letter.Both linearized and nonlinearized robust optimization problems are introduced to obtain accurate results.The computational accuracy,time cost,and advantages of autonomous-synergic control are observed in the simulation results.
文摘针对电力系统安全性问题特性,提出一种基于动态安全域的安全概率评估模型。模型核心是不安全概率指标,并通过该指标来表征各电力元件以及整个电力系统的安全性状况。概率方法的引入,使得模型不仅计及系统中各种主要的不确定性因素,而且对系统的安全状况进行了定量的描述。动态安全域理论大大降低了安全概率评估的计算量,使得该模型具有实用性。评估结果可以用于指导运行人员在安全控制中制定正确的决策。用新英格兰10机39节点系统(New England 10-generator 39-bussystem)对该模型做了验证。
文摘动态安全域(DSR)是电力系统稳定分析的重要内容,实用动态安全域(PDSR)由描述各节点注入功率上、下限的垂直于坐标轴的超平面和描述暂态稳定性临界点的超平面围成。结合轨迹灵敏度法和高阶Taylor技术,推导轨迹灵敏度的高阶Taylor级数递推求解形式。基于势能界面(PEBS)法和高阶Taylor级数轨迹灵敏度技术,快速有效地计算能量裕度灵敏度,从而迭代求解临界功率注入点。利用临界功率点的能量裕度灵敏度数值,求解电力系统有功功率注入空间上的PDSR。New England 10机39节点系统的仿真结果验证了所提方法的有效性。
文摘动态安全域(DSR)的暂态稳定边界可以近似表示为超平面,由此提出了一种DSR的快速求解方法。该方法分别对事故前系统的稳定运行点、事故中系统的故障轨迹和事故后系统的暂态稳定性进行有功功率的小扰动分析,然后依据整个暂态响应过程中状态变量的连续性,将不同阶段的分析结果联系起来,最终推导出了超平面形式的DSR解析表达式。应用暂态能量函数分析给出了注入空间上的实用动态安全判据,以此来量化暂态稳定性指标,从而实现对事故后系统的有功功率小扰动分析。该方法的有效性在New England 10机39节点系统上得到了验证。
