According to the increasing penetration of microgrids (MGs) in power systems, the design and implementation of these new emerged structures are under the question of planners, operators, and investors of electrical energy sector. This paper aims at finding a response for this question to present a game-based model under a competitive market for long-term multiperiod planning of a distribution network containing several MGs, such that it can model the impact of decision making of the distribution system operator (DSO) on the MG investor and vice versa, also improve MG allocation algorithms. To achieve this, a mixed-integer nonlinear bilevel programming is employed, where in the external level, DSO's objectives and in the internal level, MGs' objectives are optimized based on the dictation by DSO. Since solving this type of problems by employing the conventional tools is almost impossible, so a mathematical method is utilized to convert this problem to a standard form. In the proposed method, using the reformulation and linearization, the available binary variables are transformed to a continuous form and then are linearized.

中文翻译：

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竞争性电力市场下多个微电网渗透的配电网多期规划，第一部分：建模和求解方法


随着微电网（MG）在电力系统中的渗透率不断提高，这些新结构的设计和实施成为电力行业规划者、运营商和投资者面临的问题。本文旨在找到这个问题的答案，提出一个竞争市场下基于博弈的模型，用于包含多个 MG 的配电网络的长期多期规划，从而可以模拟配电系统运营商决策的影响（DSO）对 MG 投资者进行控制，反之亦然，同时改进 MG 分配算法。为了实现这一目标，采用了混合整数非线性双层规划，其中在外部层中，DSO 的目标和在内部层中，MG 的目标基于 DSO 的指令进行优化。由于使用传统工具解决此类问题几乎是不可能的，因此采用数学方法将该问题转换为标准形式。在所提出的方法中，使用重构和线性化，将可用的二元变量转换为连续形式，然后进行线性化。