Spectrum distribution of the second order generalized distributed parameter system was discussed via the functional analysis and operator theory in Hilbert space. The solutions of the problem and the constructive expr...Spectrum distribution of the second order generalized distributed parameter system was discussed via the functional analysis and operator theory in Hilbert space. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse one of bounded linear operator. This is theoretically important for studying the stabilization and asymptotic stability of the second order generalized distributed parameter system.展开更多
Feedback stabilization for a class of second order singular distributed parameter system with multi- inputs is discussed via functional analysis and operator theory in Hilbert space, the solutions of the problem and t...Feedback stabilization for a class of second order singular distributed parameter system with multi- inputs is discussed via functional analysis and operator theory in Hilbert space, the solutions of the problem and the constructive expressions of the solutions are given by the generalized inverse of bounded linear operator. This research is theoretically important for studying the stability of the singular distributed parameter system.展开更多
State feedback and pole assignment of the second order coupled singular distributed parameter systems are discussed via functional analysis and operator theory in Hilbert space, in which infinite many poles are change...State feedback and pole assignment of the second order coupled singular distributed parameter systems are discussed via functional analysis and operator theory in Hilbert space, in which infinite many poles are changed. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse of bounded linear operator. This research is theoretically important for studying the pole assignment and stabilization of the singular distributed parameter systems.展开更多
智能软开关(soft normally open point, SNOP)凭借其灵活的功率调节能力逐渐应用于配电网中。但由于大量分布式电源(distributed generation, DG)接入,SNOP受到线路容量的限制,调节能力有限。为发挥其最大调节能力,文中提出适用于配电...智能软开关(soft normally open point, SNOP)凭借其灵活的功率调节能力逐渐应用于配电网中。但由于大量分布式电源(distributed generation, DG)接入,SNOP受到线路容量的限制,调节能力有限。为发挥其最大调节能力,文中提出适用于配电系统的SNOP对线路有功功率裕度调节灵敏度的定义,将其作为SNOP调节能力的评价指标,由此建立SNOP的选址优化模型。在此基础上,引入系统节点电压裕度以及线路功率裕度2个安全评价指标,构建以综合运行裕度最大为目标函数的配电网运行优化模型。将上述模型转化为二阶锥模型,通过MATLAB工具实现该问题的有效求解。最后,通过改进的IEEE 33节点算例对所提模型与求解方法进行验证,进一步表明了所提选址方法能够发挥SNOP的最大调节作用,优化控制策略可以实现配电网安全经济运行。展开更多
智能软开关(soft normally open point,SNOP)是一种代替传统联络开关可进行实时功率控制的电力电子装置,在正常运行时主要提供有功功率的传输,当电压问题突出时,SNOP可进行电压无功控制。为此,首先建立了SNOP电压无功控制问题的时序模型...智能软开关(soft normally open point,SNOP)是一种代替传统联络开关可进行实时功率控制的电力电子装置,在正常运行时主要提供有功功率的传输,当电压问题突出时,SNOP可进行电压无功控制。为此,首先建立了SNOP电压无功控制问题的时序模型,该模型数学上属于大规模非线性规划问题,给计算求解带来较大的挑战;通过采用凸松弛技术将其转化为二阶锥模型,实现该问题的快速、准确求解;最后,采用IEEE 33节点算例,对所提出的优化模型与求解方法进行了分析与验证。结果表明,利用SNOP在有源配电网中进行电压无功控制,可以有效地缓解电压波动、降低系统损耗;基于二阶锥规划的求解方法在保证求解最优性的同时,极大地提高了计算效率。展开更多
文摘Spectrum distribution of the second order generalized distributed parameter system was discussed via the functional analysis and operator theory in Hilbert space. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse one of bounded linear operator. This is theoretically important for studying the stabilization and asymptotic stability of the second order generalized distributed parameter system.
基金Supported by the National Natural Science Foundation of China(No.60674018)the Natural Sciences Research Foundation of the Education Department of Jiangsu Province in China(No.08KJD510003)
文摘Feedback stabilization for a class of second order singular distributed parameter system with multi- inputs is discussed via functional analysis and operator theory in Hilbert space, the solutions of the problem and the constructive expressions of the solutions are given by the generalized inverse of bounded linear operator. This research is theoretically important for studying the stability of the singular distributed parameter system.
基金supported by the National Nature Science Foundation of China under Grant No.60674018
文摘State feedback and pole assignment of the second order coupled singular distributed parameter systems are discussed via functional analysis and operator theory in Hilbert space, in which infinite many poles are changed. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse of bounded linear operator. This research is theoretically important for studying the pole assignment and stabilization of the singular distributed parameter systems.
文摘智能软开关(soft normally open point, SNOP)凭借其灵活的功率调节能力逐渐应用于配电网中。但由于大量分布式电源(distributed generation, DG)接入,SNOP受到线路容量的限制,调节能力有限。为发挥其最大调节能力,文中提出适用于配电系统的SNOP对线路有功功率裕度调节灵敏度的定义,将其作为SNOP调节能力的评价指标,由此建立SNOP的选址优化模型。在此基础上,引入系统节点电压裕度以及线路功率裕度2个安全评价指标,构建以综合运行裕度最大为目标函数的配电网运行优化模型。将上述模型转化为二阶锥模型,通过MATLAB工具实现该问题的有效求解。最后,通过改进的IEEE 33节点算例对所提模型与求解方法进行验证,进一步表明了所提选址方法能够发挥SNOP的最大调节作用,优化控制策略可以实现配电网安全经济运行。
文摘智能软开关(soft normally open point,SNOP)是一种代替传统联络开关可进行实时功率控制的电力电子装置,在正常运行时主要提供有功功率的传输,当电压问题突出时,SNOP可进行电压无功控制。为此,首先建立了SNOP电压无功控制问题的时序模型,该模型数学上属于大规模非线性规划问题,给计算求解带来较大的挑战;通过采用凸松弛技术将其转化为二阶锥模型,实现该问题的快速、准确求解;最后,采用IEEE 33节点算例,对所提出的优化模型与求解方法进行了分析与验证。结果表明,利用SNOP在有源配电网中进行电压无功控制,可以有效地缓解电压波动、降低系统损耗;基于二阶锥规划的求解方法在保证求解最优性的同时,极大地提高了计算效率。
