计及新能源发电不确定性及频率安全的机组优化调度模型

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中图分类号：TH73；[TK-9] 文献标识码：A 文章编号：1672-0792（2026）02-0031-09

DOI： 10.3969/j.ISSN.1672-0792.2026.02.004

The Optimized Scheduling Model of Unit Commitment Considering Renewable Energy Uncertainty and Frequency Security

CHANG Yue， WANG Tao， WANG Shenghua

Department of Mathematics and Physics，North China Electric Power University，Baoding O71003， China

Abstract： To addressthe challenges posed to power system by the volatility of renewable energy output and the low-inertia of the grid，this study proposes a day-ahead optimized scheduling model of unit commitment that integrates renewable energy uncertainty and frequency security. For uncertainty， we employ kermel density estimation and Copula theory to model wind-PV power correlations，generating typical daily scenarios. To address low-inertiafrequency security constraints are incorporated into the scheduling model，constructing a two-stage optimization model. The first stage minimizes comprehensive costs （generation， start-stop， curtailment， frequency regulation reserve， and carbon trading） based on predicted wind-PV-load scenarios， allocating unit schedules and reserves.The second stage calculates adjustment cost expectations under fluctuation scenarios，and iterative solutions are performed through the Benders decomposition algorithm.The two-stage model achieves economic and secure power system scheduling in uncertain environments through the tight coupling of constraints.The advantages and feasibility of the proposed model are validated through case studies that compare scheduling costs and frequency security performance.

Key words： optimal scheduling; uncertainty; frequency security; renewable energy power system; copula

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0 引言

近年来，以风电、光伏为代表的新能源在我国电力系统中占比迅速提升。（剩余10331字）