Distributed Resource Aggregation and Optimal Scheduling Based on Zonotopes

Yang, Xingang; Du, Yang; Yang, Zhongguang; Guo, Lingyu; Wu, Simin; Ai, Qian; Shen, Cong

doi:10.3390/math14111893

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Open AccessArticle

Distributed Resource Aggregation and Optimal Scheduling Based on Zonotopes

by

Xingang Yang

^1,2,

Yang Du

²,

Zhongguang Yang

²,

Lingyu Guo

²,

Simin Wu

²,

Qian Ai

¹

and

Cong Shen

^1,*

¹

School of Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

²

State Grid Shanghai Electric Power Research Institute, Shanghai 200437, China

^*

Author to whom correspondence should be addressed.

Mathematics 2026, 14(11), 1893; https://doi.org/10.3390/math14111893

Submission received: 23 April 2026 / Revised: 24 May 2026 / Accepted: 27 May 2026 / Published: 29 May 2026

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Abstract

As electricity demand increases with social development, the inadequate upgrade of distribution network infrastructure fails to meet peak demand. To address this issue, introducing source-load distributed resources to enhance power system flexibility has become a development trend that reduces distribution equipment retrofitting costs while satisfying peak grid demand. To this end, this paper proposes an optimal aggregation and scheduling strategy for distributed resources based on zonotopes. First, a Monte Carlo simulation-based scenario generation model is developed to supplement the scenario set for uncertain photovoltaic output. Second, a distributed resource aggregation method using zonotopes is proposed to determine the adjustable range of distributed resource clusters. Finally, an industrial park case study is conducted to validate the superiority of the proposed strategy in coordinating source-load distributed resources for peak-load shaving, achieving a peak shaving rate of 40.09% during peak demand periods.

Keywords: Monte Carlo simulation; distributed resources; zonotope; resource aggregation; optimal scheduling

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MDPI and ACS Style

Yang, X.; Du, Y.; Yang, Z.; Guo, L.; Wu, S.; Ai, Q.; Shen, C. Distributed Resource Aggregation and Optimal Scheduling Based on Zonotopes. Mathematics 2026, 14, 1893. https://doi.org/10.3390/math14111893

AMA Style

Yang X, Du Y, Yang Z, Guo L, Wu S, Ai Q, Shen C. Distributed Resource Aggregation and Optimal Scheduling Based on Zonotopes. Mathematics. 2026; 14(11):1893. https://doi.org/10.3390/math14111893

Chicago/Turabian Style

Yang, Xingang, Yang Du, Zhongguang Yang, Lingyu Guo, Simin Wu, Qian Ai, and Cong Shen. 2026. "Distributed Resource Aggregation and Optimal Scheduling Based on Zonotopes" Mathematics 14, no. 11: 1893. https://doi.org/10.3390/math14111893

APA Style

Yang, X., Du, Y., Yang, Z., Guo, L., Wu, S., Ai, Q., & Shen, C. (2026). Distributed Resource Aggregation and Optimal Scheduling Based on Zonotopes. Mathematics, 14(11), 1893. https://doi.org/10.3390/math14111893

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Distributed Resource Aggregation and Optimal Scheduling Based on Zonotopes

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