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首页> 外文期刊>Electric power systems research >Two-phase mixed integer programming for non-convex economic dispatch problem with spinning reserve constraints
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Two-phase mixed integer programming for non-convex economic dispatch problem with spinning reserve constraints

机译：具有后备储备约束的非凸型经济调度问题的两阶段混合整数规划

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摘要

This paper proposes a deterministic two-phase mixed integer programming (TPMIP) approach to solve the non-convex economic dispatch (ED) problem considering ramp rate constraints, valve-point effect (VPE), prohibited operating zones (POZs), transmission loss, and spinning reserve constraints. In the first phase, the non-smooth cost function induced by VPE is piecewise linearized and the POZs constraints are formulated as a set of mathematical formulas via a mixed integer encoding technique. Then, the non-convex ED problem is converted to a mixed integer programming (MIP) problem and can be solved by commercial optimization solvers. In the second phase, based on the solution obtained in the first phase, the range of the power output of each unit is compressed and then solve the MIP problem again to make a further exploitation for an optimal solution in the subspace of the whole solution domain. To demonstrate the effectiveness of TPMIP, it is applied to eight test systems and the simulation results are compared with those obtained by the existing methods cited in this paper. Numerical simulations have verified that the proposed method provides a comprehensive framework in solving the non-convex ED problem. (C) 2016 Elsevier B.V. All rights reserved.
机译：本文提出了一种确定性的两阶段混合整数规划（TPMIP）方法，该方法解决了非坡度经济调度（ED）问题，其中考虑了斜坡率约束，阀点效应（VPE），禁止运行区域（POZ），传输损耗，和旋转储备限制。在第一阶段，将VPE引起的非平滑成本函数分段线性化，并通过混合整数编码技术将POZ约束公式化为一组数学公式。然后，将非凸ED问题转换为混合整数规划（MIP）问题，并可以通过商业优化求解器进行求解。在第二阶段中，基于在第一阶段中获得的解，将每个单元的功率输出范围压缩，然后再次解决MIP问题，以进一步利用整个解域的子空间中的最优解。为了证明TPMIP的有效性，将其应用于八个测试系统，并将仿真结果与通过本文引用的现有方法获得的结果进行比较。数值仿真证明，该方法为解决非凸ED问题提供了一个综合的框架。 （C）2016 Elsevier B.V.保留所有权利。

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