Active set method and gradient projection method are curre nt ly the main approaches for linearly constrained convex programming. Interior-po int method is one of the most effective choices for linear programming. In ...Active set method and gradient projection method are curre nt ly the main approaches for linearly constrained convex programming. Interior-po int method is one of the most effective choices for linear programming. In the p aper a predictor-corrector interior-point algorithm for linearly constrained c onvex programming under the predictor-corrector motivation was proposed. In eac h iteration, the algorithm first performs a predictor-step to reduce the dualit y gap and then a corrector-step to keep the points close to the central traject ory. Computations in the algorithm only require that the initial iterate be nonn egative while feasibility or strict feasibility is not required. It is proved th at the algorithm is equivalent to a level-1 perturbed composite Newton method. Numerical experiments on twenty-six standard test problems are made. The result s show that the proposed algorithm is stable and robust.展开更多
以统一潮流控制器(unified power flow controller,UPFC)为代表的灵活交流输电技术(flexible AC transmission system,FACTS)可实现传输功率的合理分布、优化系统资源,提高系统的稳定性和可靠性。该文基于内点优化方法,提出计及UPFC的...以统一潮流控制器(unified power flow controller,UPFC)为代表的灵活交流输电技术(flexible AC transmission system,FACTS)可实现传输功率的合理分布、优化系统资源,提高系统的稳定性和可靠性。该文基于内点优化方法,提出计及UPFC的无功优化模型,以系统有功网损最小为目标函数,采用UPFC电压源模型,将其作用等效为一系列电压和功率的约束,直接放到内点法的约束中,在不同的负荷运行方式下进行优化分析。在IEEE-30节点系统测试中发现,引入UPFC后系数矩阵的维数会有所增加,但不会影响其收敛性。算例就系统网损和电压指标对装设UPFC前后进行比较,并给出最优控制方案下UPFC的参数值。结果表明该方法是可行的、有效的,取得很好的效果。展开更多
文摘Active set method and gradient projection method are curre nt ly the main approaches for linearly constrained convex programming. Interior-po int method is one of the most effective choices for linear programming. In the p aper a predictor-corrector interior-point algorithm for linearly constrained c onvex programming under the predictor-corrector motivation was proposed. In eac h iteration, the algorithm first performs a predictor-step to reduce the dualit y gap and then a corrector-step to keep the points close to the central traject ory. Computations in the algorithm only require that the initial iterate be nonn egative while feasibility or strict feasibility is not required. It is proved th at the algorithm is equivalent to a level-1 perturbed composite Newton method. Numerical experiments on twenty-six standard test problems are made. The result s show that the proposed algorithm is stable and robust.
文摘以统一潮流控制器(unified power flow controller,UPFC)为代表的灵活交流输电技术(flexible AC transmission system,FACTS)可实现传输功率的合理分布、优化系统资源,提高系统的稳定性和可靠性。该文基于内点优化方法,提出计及UPFC的无功优化模型,以系统有功网损最小为目标函数,采用UPFC电压源模型,将其作用等效为一系列电压和功率的约束,直接放到内点法的约束中,在不同的负荷运行方式下进行优化分析。在IEEE-30节点系统测试中发现,引入UPFC后系数矩阵的维数会有所增加,但不会影响其收敛性。算例就系统网损和电压指标对装设UPFC前后进行比较,并给出最优控制方案下UPFC的参数值。结果表明该方法是可行的、有效的,取得很好的效果。
