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arXiv 1908.07856math.OC
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低惯性系统中不同频率响应服务的最优组合

Optimal Portfolio of Distinct Frequency-Response Services in Low-Inertia Systems

Luis Badesa, Fei Teng, Goran Strbac

摘要:

由于可更新集成而导致的系统惯性水平的降低增加了对辅助服务(诸如频率响应(FR))的成本有效的提供的需求。在本文中,我们提出了一个封闭形式的解决方案,描述频率动态的微分方程,它允许获得频率安全的代数约束,以实现优化例程。这是在考虑任何有限数量的FR服务与区别的特点,如不同的交付时间和激活延迟。由这些频率安全约束定义的问题可以用公式表示为混合二阶锥规划(MISOCP),其可以由现成的锥优化求解器有效地处理。本文还考虑了需求侧惯性贡献的不确定性,将频率安全条件表示为机会约束,并给出了精确的凸变换形式。最后,案例研究突出了这种频率安全的制定的有效性。

英文摘要:

A reduced level of system inertia due to renewable integration increases the need for cost-effective provision of ancillary services, such as Frequency Response (FR). In this paper we propose a closed-form solution to the differential equation describing frequency dynamics, which allows to obtain frequency-security algebraic constraints to be implemented in optimisation routines. This is done while considering any finite number of FR services with distinguished characteristics, such as different delivery times and activation delays. The problem defined by these frequency-security constraints can be formulated as a Mixed-Integer Second-Order Cone Program (MISOCP), which can be efficiently handled by off-the-shelf conic optimisation solvers. This paper also takes into account the uncertainty in inertia contribution from the demand side by formulating the frequency-security conditions as chance constraints, for which an exact convex reformulation is provided. Finally, case studies highlighting the effectiveness of this frequency-secured formulation are presented.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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