Projection-Based Coordinated Scheduling of Distribution–Microgrid Systems Considering Frequency Security Constraints.

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Bibliographic Details
Title: Projection-Based Coordinated Scheduling of Distribution–Microgrid Systems Considering Frequency Security Constraints.
Authors: Song, Xingwang1 (AUTHOR), Guo, Lingxu2 (AUTHOR), Sun, Mingjun1,3 (AUTHOR), Tong, Xinyu1 (AUTHOR), Wei, Wei2,3 (AUTHOR) weiw@tju.edu.cn, Liu, Mengyu3 (AUTHOR)
Source: Energies (19961073). Nov2025, Vol. 18 Issue 21, p5707. 16p.
Subjects: Microgrids, Frequency stability, Technological innovations, Mathematical optimization, Scheduling
Abstract: With the rapid development of distribution–microgrid (DN–MG) systems, they have become increasingly important in the construction of modern power systems. However, existing scheduling approaches often overlook the frequency security risks faced by microgrids when transitioning into unintentional islanding during contingencies. To address this issue, this paper proposes a projection-based coordinated scheduling method for DN–MG systems under microgrid frequency security constraints. First, an approximate frequency response curve is derived to characterize the maximum frequency deviation of microgrids after unintentional islanding, which is explicitly embedded into the microgrid optimization model to ensure frequency security. Second, to achieve efficient coordination, a power–energy boundary-based feasible region approximation is proposed for microgrids, which accurately characterizes the projection feasible region under inter-temporal coupling while reducing conservativeness. This enables a non-iterative coordination framework. Finally, case studies on a modified IEEE 33-bus system containing three microgrids demonstrate that the proposed method effectively limits the maximum frequency deviation to within 0.5 Hz, while the projection-based feasible region achieves 87.62% coverage, which is twice that of conventional box approximations. Overall, the proposed method ensures microgrid frequency security while balancing computational efficiency and privacy protection, highlighting its strong potential for practical engineering applications. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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