在求解含电压源换流器的高压直流输电(Voltage Source Converter based High Voltage Direct Current,VSC-HVDC)的交直流系统最优潮流(Optimal Power Flow,OPF)问题时,常使用原对偶内点法或智能算法。但原对偶内点法无法很好地解决含离...在求解含电压源换流器的高压直流输电(Voltage Source Converter based High Voltage Direct Current,VSC-HVDC)的交直流系统最优潮流(Optimal Power Flow,OPF)问题时,常使用原对偶内点法或智能算法。但原对偶内点法无法很好地解决含离散变量的OPF(如无功优化),而智能算法在解决此类问题时易陷入局部最优解,同时计算时间过长。因此,提出一种含离散惩罚函数的简化零空间内点算法。算法的主要思想是以简化零空间内点法(下称S-NSIPM)为框架,对连续变量进行优化,当收敛函数小于一定值时,在离散量的计算中引入罚函数,同时随着迭代量差值的变化随时调整罚函数的罚因子的大小。通过算例表明,该算法稳定性高,寻优和适应能力强,能够很好地解决含VSC-HVDC交直流系统的离散变量的优化问题。展开更多
The security constrained distributed optimal power flow （DOPF） of interconnected power systems is presented. The centralized OPF problem of the multi-area power systems is decomposed into independent DOPF subproblem...The security constrained distributed optimal power flow （DOPF） of interconnected power systems is presented. The centralized OPF problem of the multi-area power systems is decomposed into independent DOPF subproblems, one for each area. The dynamic security region （DSR） to guarantee the transient stability constraints and static voltage stability region （SVSR） constraints, and line current limits are included as constraints. The solutions to the DOPF subproblems of the different areas are coordinated through a pricing mechanism until they converge to the centralized OPF solution. The nonlinear DOPF subproblem is solved by predictor-corrector interior point method （PClPM）. The IEEE three-area RTS-96 system is worked out in order to demonstrate the effectiveness of the proposed method.展开更多
In this paper, we describe a method to solve large-scale structural optimization problems by sequential convex programming （SCP）. A predictor-corrector interior point method is applied to solve the strictly convex s...In this paper, we describe a method to solve large-scale structural optimization problems by sequential convex programming （SCP）. A predictor-corrector interior point method is applied to solve the strictly convex subproblems. The SCP algorithm and the topology optimization approach are introduced. Especially, different strategies to solve certain linear systems of equations are analyzed. Numerical results are presented to show the efficiency of the proposed method for solving topology optimization problems and to compare different variants.展开更多
文摘在求解含电压源换流器的高压直流输电(Voltage Source Converter based High Voltage Direct Current,VSC-HVDC)的交直流系统最优潮流(Optimal Power Flow,OPF)问题时,常使用原对偶内点法或智能算法。但原对偶内点法无法很好地解决含离散变量的OPF(如无功优化),而智能算法在解决此类问题时易陷入局部最优解,同时计算时间过长。因此,提出一种含离散惩罚函数的简化零空间内点算法。算法的主要思想是以简化零空间内点法(下称S-NSIPM)为框架,对连续变量进行优化,当收敛函数小于一定值时,在离散量的计算中引入罚函数,同时随着迭代量差值的变化随时调整罚函数的罚因子的大小。通过算例表明,该算法稳定性高,寻优和适应能力强,能够很好地解决含VSC-HVDC交直流系统的离散变量的优化问题。
基金National Natural Science Foundation of China(No.50595413)National Key Basic Research Program ("973" Program) (No.2004CB217904)
文摘The security constrained distributed optimal power flow （DOPF） of interconnected power systems is presented. The centralized OPF problem of the multi-area power systems is decomposed into independent DOPF subproblems, one for each area. The dynamic security region （DSR） to guarantee the transient stability constraints and static voltage stability region （SVSR） constraints, and line current limits are included as constraints. The solutions to the DOPF subproblems of the different areas are coordinated through a pricing mechanism until they converge to the centralized OPF solution. The nonlinear DOPF subproblem is solved by predictor-corrector interior point method （PClPM）. The IEEE three-area RTS-96 system is worked out in order to demonstrate the effectiveness of the proposed method.
基金This work was mainly done while the first author was visiting the University of Bayreuth, and was supported by the Chinese Scholarship Council, German Academic Exchange Service （DAAD） and the National Natural Science Foundation of China.
文摘In this paper, we describe a method to solve large-scale structural optimization problems by sequential convex programming （SCP）. A predictor-corrector interior point method is applied to solve the strictly convex subproblems. The SCP algorithm and the topology optimization approach are introduced. Especially, different strategies to solve certain linear systems of equations are analyzed. Numerical results are presented to show the efficiency of the proposed method for solving topology optimization problems and to compare different variants.
