首页|计及可变流量调节模式的电热综合能源系统条件分布鲁棒优化调度

计及可变流量调节模式的电热综合能源系统条件分布鲁棒优化调度

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  • 国家科技期刊平台
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电-热综合能源系统(integrated electricity and heat system，IEHS)可以有效促进可再生能源消纳。构建区域供热系统精细化模型与合理的可再生能源不确定性出力模型是调度IEHS的两个难点。该文首先提出计及可变流量调节模式的IEHS条件分布鲁棒优化调度模型，主要有两点改进:通过构建基于修正模糊集的条件分布鲁棒模型建模可再生能源预测误差与其预测出力信息之间的内在依赖性，提升调度结果安全性与最优性;基于流体能量守恒方程与一阶隐式迎风格式建立可变流量调节模式下的IEHS调度模型，以期充分挖掘区域供热系统的灵活性，促进可再生能源消纳。所构建的IEHS调度模型为含有大量非线性约束的条件分布鲁棒模型，难以直接求解。对此，通过对偶理论与条件风险价值近似方法将条件分布鲁棒模型转化为含非线性约束的确定性模型，并提出自适应 McCormick 算法用以求解非线性约束。通过不同规模案例仿真表明，所提模型能够降低IEHS的调度成本，所提算法在保证可行性的条件下快速求出问题的近似最优解，最优间隙小于千分之一。
Conditional Distributionally Robust Optimization of Integrated Electricity and Heat Systems With Variable Flow Regulation Modes
The integrated electricity and heat system(IEHS)can effectively promote renewable energy accommodation.The refined model of the district heating system and the reasonable model of the renewable energy uncertainty model are challenging aspects of the IEHS dispatch problem.This paper first establishes a conditional distributionally robust optimization model of IEHSs with variable flow regulation modes,which has two main improvements over the existing studies.First,this paper establishes a conditional distributionally robust optimization by adopting the trim ambiguity set to model the the intrinsic dependence between the renewable energy forecast error and its forecasted output information,which can guarantee the security and optimization of dispatch results.Next,an IEHS model with variable flow regulation modes based on the energy conservation equation and the one-order implicit upwind method is established to fully exploit the flexibility of the district heating system and promote renewable energy accommodation.The proposed model has random variables and bilinear constraints,which is difficult to solve directly.Thus,this paper transforms with random variables into a nonlinear deterministic model through the duality theory and conditional value at risk approximation approach.Then,this paper proposes an adaptive McCormick algorithm to solve the model with nonlinear constraints.Case studies with different scale IEHSs show that the model established in this paper can effectively reduce the dispatch cost of IEHS,and the adaptive McCormick algorithm can obtain an approximate optimal solution while guaranteeing feasibility,with an optimal gap of less than one thousandth.

integrated electricity and heat systemdistributionally robust optimizationvariable flow regulation modeMcCormick relaxationjoint chance constraints

杨畅、李正烁

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山东大学电气工程学院,山东省 济南市 250061

电-热综合能源系统 分布鲁棒优化 可变流量调节模式 McCormick松弛 联合机会约束

国家自然科学基金国家自然科学基金

5237710752007105

2024

10.13334/j.0258-8013.pcsee.230048

中国电机工程学报
中国电机工程学会

中国电机工程学报

CSTPCD北大核心
影响因子：2.712
ISSN：0258-8013
年,卷(期)：2024.44(12)
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