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Application of pattern search method to power system security constrained economic dispatch with non-smooth cost function

机译:模式搜索方法在具有非光滑成本函数的电力系统安全约束经济调度中的应用

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摘要

Direct search methods are evolutionary algorithms used to solve optimization problems. (DS) methods do not require any information about the gradient of the objective function at hand while searching for an optimum solution. One of such methods is Pattern Search (PS) algorithm. This paper presents a new approach based on a constrained pattern search algorithm to solve a security constrained power system economic dispatch problem (SCED) with non-smooth cost function. Operation of power systems demands a high degree of security to keep the system satisfactorily operating when subjected to disturbances, while and at the same time it is required to pay attention to the economic aspects. Pattern recognition technique is used first to assess dynamic security. Linear classifiers that determine the stability of electric power system are presented and added to other system stability and operational constraints. The problem is formulated as a constrained optimization problem in a way that insures a secure-economic system operation. Pattern search method is then applied to solve the constrained optimization formulation. In particular, the method is tested using three different test systems. Simulation results of the proposed approach are compared with those reported in literature. The outcome is very encouraging and proves that pattern search (PS) is very applicable for solving security constrained power system economic dispatch problem (SCED). In addition, valve-point effect loading and total system losses are considered to further investigate the potential of the PS technique. Based on the results, it can be concluded that the PS has demonstrated ability in handling highly nonlinear discontinuous non-smooth cost function of the SCED.
机译:直接搜索方法是用于解决优化问题的进化算法。 (DS)方法在寻找最佳解决方案时不需要任何有关目标函数梯度的信息。这种方法之一是模式搜索(PS)算法。本文提出了一种基于约束模式搜索算法的具有非平稳成本函数的安全约束电力系统经济调度问题(SCED)的新方法。电力系统的运行要求高度的安全性,以在受到干扰时保持系统令人满意地运行,同时还需要注意经济方面。首先使用模式识别技术来评估动态安全性。提出了确定电力系统稳定性的线性分类器,并将其添加到其他系统稳定性和操作约束中。以确保安全经济的系统运行的方式,将该问题公式化为约束优化问题。然后将模式搜索方法应用于求解约束优化公式。特别地,该方法使用三种不同的测试系统进行测试。将该方法的仿真结果与文献报道进行了比较。结果令人鼓舞,并证明模式搜索(PS)非常适用于解决安全受限的电力系统经济调度问题(SCED)。此外,还考虑了阀点效应负载和总系统损耗,以进一步研究PS技术的潜力。根据结果​​,可以得出结论,PS具有处理SCED的高度非线性不连续非光滑成本函数的能力。

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