Time-differences-of-arrival （TDOA） and gain-ratios-of- arrival （GROA） measurements are used to determine the passive source location. Based on the measurement models, the con- strained weighted least squares （CWL...Time-differences-of-arrival （TDOA） and gain-ratios-of- arrival （GROA） measurements are used to determine the passive source location. Based on the measurement models, the con- strained weighted least squares （CWLS） estimator is presented. Due to the nonconvex nature of the CWLS problem, it is difficult to obtain its globally optimal solution. However, according to the semidefinite relaxation, the CWLS problem can be relaxed as a convex semidefinite programming problem （SDP）, which can be solved by using modern convex optimization algorithms. Moreover, this relaxation can be proved to be tight, i.e., the SDP solves the relaxed CWLS problem, and this hence guarantees the good per- formance of the proposed method. Furthermore, this method is extended to solve the localization problem with sensor position errors. Simulation results corroborate the theoretical results and the good performance of the proposed method.展开更多
基于内点半定规划(semi-definite programming,SDP),提出一种求解最优潮流(optimal power flow,OPF)的新方法——SDP-OPF法。该方法将非凸OPF问题等价转换为半定规划问题,然后应用原始–对偶内点法求解。根据OPF半定规划模型的特点,采...基于内点半定规划(semi-definite programming,SDP),提出一种求解最优潮流(optimal power flow,OPF)的新方法——SDP-OPF法。该方法将非凸OPF问题等价转换为半定规划问题,然后应用原始–对偶内点法求解。根据OPF半定规划模型的特点,采用基于半定规划的稀疏技术,使存储效率和计算性能得以大幅度提高。以4节点的简单电力系统为例,展示模型等价转换的过程及如何获取原OPF问题的解。IEEE-300节点等6个标准系统的仿真计算表明:所提算法具有超线性收敛性,其计算结果与内点非线性规划的结果一致,且能保证解的全局最优性,可在多项式时间内完成,是一种应用前景广阔的方法。展开更多
基金supported by the National Natural Science Foundation of China(61201282)the Science and Technology on Communication Information Security Control Laboratory Foundation(9140C130304120C13064)
文摘Time-differences-of-arrival （TDOA） and gain-ratios-of- arrival （GROA） measurements are used to determine the passive source location. Based on the measurement models, the con- strained weighted least squares （CWLS） estimator is presented. Due to the nonconvex nature of the CWLS problem, it is difficult to obtain its globally optimal solution. However, according to the semidefinite relaxation, the CWLS problem can be relaxed as a convex semidefinite programming problem （SDP）, which can be solved by using modern convex optimization algorithms. Moreover, this relaxation can be proved to be tight, i.e., the SDP solves the relaxed CWLS problem, and this hence guarantees the good per- formance of the proposed method. Furthermore, this method is extended to solve the localization problem with sensor position errors. Simulation results corroborate the theoretical results and the good performance of the proposed method.
文摘基于内点半定规划(semi-definite programming,SDP),提出一种求解最优潮流(optimal power flow,OPF)的新方法——SDP-OPF法。该方法将非凸OPF问题等价转换为半定规划问题,然后应用原始–对偶内点法求解。根据OPF半定规划模型的特点,采用基于半定规划的稀疏技术,使存储效率和计算性能得以大幅度提高。以4节点的简单电力系统为例,展示模型等价转换的过程及如何获取原OPF问题的解。IEEE-300节点等6个标准系统的仿真计算表明:所提算法具有超线性收敛性,其计算结果与内点非线性规划的结果一致,且能保证解的全局最优性,可在多项式时间内完成,是一种应用前景广阔的方法。
