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Primal dual interior point algorithm for constrained economic load dispatch and optimal power flow

机译:约束经济负荷分配和最优潮流的原始双内点算法

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Optimal power flow is an optimization problem which minimizes the total generation dispatch cost satisfying the voltage and reactive power constraints in the electric network. In other words it is an extension of the Constrained Economic Load Dispatch (CELD) model. In this paper generalized Constrained Economic Load Dispatch problem is solved by Primal-Dual Interior Point Algorithm (PDIP) where the Hessian matrix is solved by both analytical and numerical method for various thermal generating units. Secondly, the optimal power flow problem is solved in a non-linear manner based on the Karush-Kuhn-Tucker (KKT) conditions considering the equalities and inequalities simultaneously using the PDIP algorithm for a 3-machine 9-bus system and the minimal cost of operating the generators is determined. The findings affirm the fast convergence, robustness and proficiency of the algorithm used over the other existing methodologies in the literature.
机译:最佳潮流是一个优化问题,它使满足电网中电压和无功功率约束的总发电调度成本最小化。换句话说,它是约束经济负荷分配(CELD)模型的扩展。本文采用原始对偶内点算法(PDIP)解决了广义约束经济负荷分配问题,在该算法中,通过解析和数值方法求解了各种火电机组的黑森州矩阵。其次,基于Karush-Kuhn-Tucker(KKT)条件以非线性方式求解最优潮流问题,同时针对三机9总线系统使用PDIP算法同时考虑了平等和不平等,并且成本最低确定发电机的运行方式。这些发现肯定了该算法与文献中其他现有方法相比具有快速收敛性,鲁棒性和熟练性。

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