考虑频率稳定的梯级水-光-火-储系统中长期多阶段随机优化调度

唐潇潇; 何 川; 张瑜祺; 刘天琪; 傅镜峰; 安 之; 邢 栋; 梁文举

doi:10.19783/j.cnki.pspc.260201

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考虑频率稳定的梯级水-光-火-储系统中长期多阶段随机优化调度

理论分析 | 更新时间：2026-10-15

- 考虑频率稳定的梯级水-光-火-储系统中长期多阶段随机优化调度
- Medium and long-term multi-stage stochastic scheduling of cascade hydro-PV-thermal-storage systems considering frequency stability
- 电力系统保护与控制 2026年54卷第20期
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- DOI：10.19783/j.cnki.pspc.260201
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- 纸质出版：2026
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唐潇潇, 何川, 张瑜祺, 等. 考虑频率稳定的梯级水-光-火-储系统中长期多阶段随机优化调度[J]. 电力系统保护与控制, 2026,54(20).

TANG Xiaoxiao, HE Chuan, ZHANG Yuqi, et al. Medium and long-term multi-stage stochastic scheduling of cascade hydro-PV-thermal-storage systems considering frequency stability[J]. Power System Protection and Control, 2026, 54(20).
唐潇潇, 何川, 张瑜祺, 等. 考虑频率稳定的梯级水-光-火-储系统中长期多阶段随机优化调度[J]. 电力系统保护与控制, 2026,54(20). DOI： 10.19783/j.cnki.pspc.260201.

TANG Xiaoxiao, HE Chuan, ZHANG Yuqi, et al. Medium and long-term multi-stage stochastic scheduling of cascade hydro-PV-thermal-storage systems considering frequency stability[J]. Power System Protection and Control, 2026, 54(20). DOI： 10.19783/j.cnki.pspc.260201.

摘要

为响应“双碳”号召，推动新型电力系统发展，提出考虑深度调峰火电机组精细化建模和频率稳定的梯级水-光-火-储系统中长期多阶段随机优化调度模型。首先，计及储能电池荷电状态对其寿命的影响，提出考虑储能电池支撑频率稳定的中长期调度下水-火-储频率备用优化方法。其次，考虑深度调峰火电机组的运行特性，计及启动方式对开机燃耗与调峰阶段对爬坡能力的影响，构建适用于中长期调度的深度调峰火电机组精细化模型。同时，为缓解送端系统本地保供压力，提出多机分时段的水电留存模式。在此基础上，考虑季节自然来水量与日内光伏出力不确定性的多时间尺度特征，建立基于场景树的中长期多阶段随机优化调度模型，并通过改进的逐步对冲(progressive hedging

PH)算法求解。最后，通过算例验证所提模型与求解算法的有效性。

Abstract

To respond to the “dual-carbon” call and promote the new power system development

a medium- and long-term multi-stage stochastic optimal scheduling model with cascade hydro-PV-thermal-storage systems is proposed

considering detailed modeling of thermal power units under deep peak regulation and frequency stability. First

considering the impact of the state of charge (SoC) of energy storage batteries on their lifespan

an optimal allocation method for hydro-thermal-storage frequency reserves is proposed for medium- and long-term scheduling

taking into account the contribution of energy storage batteries to frequency stability. Second

considering the operational characteristics of thermal power units under deep peak regulation

a detailed model suitable for medium- and long-term scheduling is developed by accounting for the effects of startup modes on startup fuel consumption and of peak-regulation operation on ramping capability. Meanwhile

to alleviate the pressure of local energy supply of sending-side systems

a multi-unit

time-period-based hydropower retention scheme is proposed. On this basis

considering the uncertainty of seasonal water inflow and intra-day PV output

a medium- and long-term multi-stage stochastic optimization scheduling model based on scenario-tree framework is established and solved by the improved progressive hedging (PH) algorithm. Finally

the effectiveness of the proposed model and solution method are verified through case studies.

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references

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ZHANG Z, DU E, TENG F, et al. Modeling frequency dynamics in unit commitment with a high share of renewable energy[J]. IEEE Transactions on Power Systems, 2020, 35(6): 4383-4395.

GU Y, XU J, CHEN D, et al. Overall review of peak shaving for coal-fired power units in China[J]. Renewable and Sustainable Energy Reviews, 2016, 54: 723-731.

MONTERO L, BELLO A, RENESES J. A review on the unit commitment problem: approaches, techniques, and resolution methods[J]. Energies, 2022, 15(4).

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JENKINS D P, FLETCHER J, KANE D. Lifetime prediction and sizing of lead-acid batteries for microgeneration storage applications[J]. IET Renewable Power Generation, 2008, 2(3): 191-200.

DELILLE G, FRANCOIS B, MALARANGE G. Dynamic frequency control support by energy storage to reduce the impact of wind and solar generation on isolated power system’s inertia[J]. IEEE Transactions on Sustainable Energy, 2012, 3(4): 931-939.

SUN Q, WU Z, GU W, et al. Tri-level multi-energy system planning method for zero energy buildings considering long-and short-term uncertainties[J]. IEEE Transactions on Sustainable Energy, 2023, 14(1): 339-355.

GADE D, HACKEBEIL G, RYAN S M, et al. Obtaining lower bounds from the progressive hedging algorithm for stochastic mixed-integer programs[J]. Mathematical Programming, 2016, 157(1): 47-67.

BELUCO A, DE SOUZA P K, KRENZINGER A. A method to evaluate the effect of complementarity in time between hydro and solar energy on the performance of hybrid hydro PV generating plants[J]. Renewable Energy, 2012, 45: 24-30.

YUAN W, WANG X, SU C, et al. Stochastic optimization model for the short-term joint operation of photovoltaic power and hydropower plants based on chance-constrained programming[J]. Energy, 2021, 222.

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