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Symmetric Nash bargaining-based optimal operation for multi-microgrid-shared energy storage considering risk transfer 考虑风险转移的基于对称纳什讨价还价的多微网共享储能最优运行
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-03-01 Epub Date: 2026-03-05 DOI: 10.1016/j.ijepes.2026.111725
Wei Xiong, Jinxia Gong, Jiangqun Dong, Yang Mi
With the large-scale operation of microgrids, multiple microgrids are facing severe deviation penalty risks caused by the inherent uncertainty of renewable energy sources, which significantly increase their operation costs. Shared energy storage, as an effective technical means for multi-microgrid coordination, can reduce the deviation of multi-microgrid by regulating power supply and demand in real time, absorbing the surplus power generated by multi-microgrid and supplementing the power shortage caused by renewable energy sources’ uncertainty. However, shared energy storage alone still lacks a targeted and systematic model to transfer and mitigate the deviation penalty risks of multi-microgrid. To address this gap, this paper proposes a risk transfer model for multi-microgrid-shared energy storage based on symmetric Nash bargaining game. The risk transfer is realized through insurance service provided by shared energy storage. Microgrids purchase insurance power from shared energy storage in the day-ahead market, and shared energy storage provides compensation power to reduce microgrids’ deviation penalty costs during real-time operation. To solve this risk transfer model efficiently, we decompose it into two steps and adopt the Alternating Direction Method of Multipliers. Finally, three simulation scenarios are set up to verify the model. The results show that the proposed model significantly reduces the deviation penalty costs of microgrids by up to 75.70%. The symmetric Nash bargaining game adopted by the model balance the distribution of benefits among all participants after considering risk transfer, and the total operation cost of the microgrids are reduced by up to 59.38%.
随着微电网的规模化运行,由于可再生能源固有的不确定性,多个微电网面临着严重的偏差处罚风险,大大增加了微电网的运行成本。共享储能作为多微网协调的有效技术手段,可以通过实时调节电力供需,吸收多微网产生的剩余电力,弥补可再生能源不确定性造成的电力短缺,从而减少多微网的偏差。然而,单独的共享储能仍然缺乏一个有针对性和系统的模型来转移和减轻多微网的偏差惩罚风险。针对这一不足,本文提出了一种基于对称纳什议价博弈的多微网共享储能风险转移模型。风险转移是通过共享储能提供保险服务实现的。微电网通过日前市场向共享储能购买保险电力,共享储能提供补偿电力,降低微电网实时运行中的偏差惩罚成本。为了有效地求解该风险转移模型,我们将其分解为两步,并采用乘数交替方向法。最后,建立了三种仿真场景对模型进行验证。结果表明,该模型显著降低了微电网的偏差惩罚成本,降幅高达75.70%。该模型采用的对称纳什议价博弈在考虑风险转移后平衡了各方利益分配,使微电网的总运行成本降低了59.38%。
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引用次数: 0
Pattern similarity-based phase identification problem formulation for medium voltage distribution networks 基于模式相似度的中压配电网相位识别问题表述
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-03-01 Epub Date: 2026-03-07 DOI: 10.1016/j.ijepes.2026.111756
Jungmin Seong , Jin Sol Hwang , Shahid Hussain , Miguel Heleno , Yun-Su Kim
In this work, we propose an enhanced phase identification method to support distributed energy resources management in a medium voltage network. The problem is formulated with the objective function of minimizing the sum of the modified Kirchhoff’s Current Law at the branch node and power-current pattern similarity. This combined objective function is then linearized by introducing auxiliary variables and subsequently resolved through Mixed-Integer Linear Programming. A permutation matrix is employed to establish a correlation between the magnitudes of electrical currents across distinct phases, achieved through manipulation based on empirical data. Subsequently, by comparing this matrix with the observed magnitudes of currents, the approach facilitates the deduction and identification of phase information inherent in the electrical signals. Consequently, the permutation matrix functions as decision variables to identify the phases of currents for wye-connected loads, delta-connected matrices for delta-connected loads, and percentage matrices for aggregated multi-phase loads. The proposed method is applied to a dataset obtained from real power consumption with one-hour resolution, and validation is conducted through several case studies considering scenarios with and without power pattern similarity on IEEE 13, IEEE 34, and IEEE 123 test feeders, followed by comparative analysis against the correlation coefficient and Euclidean based methods. This demonstrates the robustness and practicality of the proposed method by exhibiting superior accuracy compared to the state-of-the-art method across diverse environments.
在这项工作中,我们提出了一种增强的相位识别方法来支持中压网络中的分布式能源管理。该问题以分支节点修正基尔霍夫电流定律与功率-电流模式相似度之和最小为目标函数。然后通过引入辅助变量对该组合目标函数进行线性化,然后通过混合整数线性规划进行求解。排列矩阵用于建立跨不同相位的电流大小之间的相关性,通过基于经验数据的操作来实现。随后,通过将该矩阵与观测到的电流大小进行比较,该方法有助于推导和识别电信号中固有的相位信息。因此,排列矩阵作为决策变量,用于确定眼连接负载的电流相位,用于确定delta连接负载的delta连接矩阵,以及用于确定聚合多相负载的百分比矩阵。将所提出的方法应用于一小时分辨率的真实功耗数据集,并在IEEE 13、IEEE 34和IEEE 123测试馈线上考虑功率模式相似和不相似的场景进行验证,然后与相关系数和基于欧几里得的方法进行对比分析。这证明了所提出的方法的鲁棒性和实用性,与不同环境下最先进的方法相比,它具有更高的准确性。
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引用次数: 0
Delay-resilient super-twisting sliding mode control for frequency regulation in multi-area power systems under time-varying delays 时变时滞下多区域电力系统频率调节的延迟弹性超扭滑模控制
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-03-01 Epub Date: 2026-02-25 DOI: 10.1016/j.ijepes.2026.111695
Anh-Tuan Tran , Van Van Huynh , Dao Trong Tran , Jae Woong Shim , Chee Peng Lim
Load frequency control (LFC) is essential in power systems (PSs) to maintain frequency stability under load variations, external disturbances, and communication constraints. In modern PSs, time-varying communication delays and increasing disturbances pose significant challenges to conventional LFC methods. To address these issues, this paper proposes a modified super-twisting sliding mode control (SMC) scheme with a new delay-resilient sliding surface for LFC in multi-area PSs subject to external disturbances and time-varying communication delays. Unlike existing SMC-based LFC approaches that mainly compensate delays via observers or conservative control laws, the proposed method explicitly embeds delayed state dynamics into the sliding surface design, enabling inherent resilience to delay-induced instability. Based on this sliding surface, a proposed super-twisting SMC law is developed to ensure finite-time convergence of the sliding variable while effectively mitigating chattering effects. Sufficient conditions for robust asymptotic stability of the closed-loop system are derived using Lyapunov functionals and formulated as linear matrix inequalities. The effectiveness of the proposed approach is validated through extensive simulations on single-area, two-area, and IEEE 39-bus PSs under fixed and time-varying delays as well as load disturbances. The results demonstrate faster convergence, reduced frequency deviations, and improved robustness compared with existing first-order and second-order SMC-based LFC methods.
在电力系统中,负荷频率控制(LFC)对于在负荷变化、外部干扰和通信限制下保持频率稳定至关重要。在现代PSs中,时变的通信延迟和不断增加的干扰对传统的LFC方法提出了重大挑战。为了解决这些问题,本文提出了一种改进的超扭转滑模控制(SMC)方案,该方案具有新的延迟弹性滑动面,用于受外部干扰和时变通信延迟影响的多区域PSs中的LFC。与现有的基于smc的LFC方法主要通过观测器或保守控制律来补偿延迟不同,该方法明确地将延迟状态动力学嵌入滑动面设计中,从而实现了对延迟引起的不稳定的固有弹性。在此基础上,提出了一种超扭转SMC律,以保证滑动变量的有限时间收敛,同时有效地减轻抖振效应。利用李雅普诺夫泛函导出了闭环系统鲁棒渐近稳定的充分条件,并将其表述为线性矩阵不等式。通过在固定和时变延迟以及负载干扰下对单区、双区和IEEE 39总线ps进行大量仿真,验证了所提出方法的有效性。结果表明,与现有的一阶和二阶基于smc的LFC方法相比,该方法收敛速度更快,频率偏差减少,鲁棒性提高。
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引用次数: 0
Data-driven photovoltaic hosting capacity calculation method for unbalanced low voltage distribution networks 不平衡低压配电网数据驱动的光伏承载容量计算方法
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-03-01 Epub Date: 2026-02-24 DOI: 10.1016/j.ijepes.2026.111622
Zhenguo Liu , Zhidong Jia , Ming Ma , Xilin Wang , Jianfu Chen
Distributed photovoltaic (PV) hosting capacity is commonly used to assess the PV capacity allowed to be accommodated under the constraints of safe and stable operation. However, the existing methods rely on accurate power flow, which is difficult to be applied to low voltage distribution networks (LVDNs) with unclear topology, inaccurate line parameters, and mixed phase sequence access. Therefore, this paper proposes a data-driven calculation method for distributed PV hosting capacity in LVDNs. Firstly, an explicit neural network is applied to fit the mapping relationship between the power of each node and the voltage of nodes in LVDNs, and construct explicit equations reflecting the connection between the power of the nodes and the voltage of the nodes according to the inference logic of the network. Secondly, a clustering performance index is constructed by taking into account the sensitivity of the phase voltages to the node power in order to realize the adaptive partition of the LVDNs for multi-phase user access. Finally, based on the clustering performance index, a hosting capacity calculation model is constructed for the LVDNs that takes voltage deviation and three-phase unbalance into account. The IEEE-123 node model and an actual distribution network are verified and the results show that the proposed hosting capacity method is not only applicable to the actual LVDNs scenario but also has excellent robustness, which can approach the theoretical hosting capacity of the LVDNs under some observable conditions.
分布式光伏托管容量通常用于评估在安全稳定运行约束下允许容纳的光伏容量。然而,现有的方法依赖于准确的潮流,难以应用于拓扑不清晰、线路参数不准确、相序接入混合的低压配电网。因此,本文提出了一种数据驱动的lvdn分布式光伏托管容量计算方法。首先,利用显式神经网络拟合lvdn中各节点功率与节点电压的映射关系,并根据网络的推理逻辑构造反映节点功率与节点电压关系的显式方程;其次,考虑相位电压对节点功率的敏感性,构建聚类性能指标,实现多阶段用户接入的lvdn自适应划分;最后,基于聚类性能指标,构建了考虑电压偏差和三相不平衡的lvdn托管容量计算模型。对IEEE-123节点模型和实际配电网进行了验证,结果表明,所提出的承载容量方法不仅适用于lvdn的实际场景,而且具有良好的鲁棒性,在一些可观测条件下可以接近lvdn的理论承载容量。
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引用次数: 0
A transferable spatiotemporal load forecasting framework via invariant–specific representation decomposition 基于特定不变表示分解的可转移时空负荷预测框架
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-03-01 Epub Date: 2026-03-10 DOI: 10.1016/j.ijepes.2026.111759
Yu Zhang , Bo Yuan , Shicheng Huang , Yaliang Wang , Xin Gao
Accurate short-term load forecasting becomes particularly challenging when models are deployed across heterogeneous regions with distinct consumption structures, climatic conditions, and socio-economic characteristics. While existing deep learning approaches achieve strong in-region performance, they often experience severe degradation when transferred to unseen regions, limiting practical scalability in interconnected power systems. This study investigates cross-regional generalization in short-term load forecasting and proposes a structured spatiotemporal representation decomposition framework that explicitly separates region-invariant load generation mechanisms from region-specific modulation effects. The framework integrates an invariant backbone, orthogonality-constrained local adaptation, and cross-regional similarity alignment within a unified learning objective that directly embeds robustness and generalization considerations. Extensive experiments on multi-regional datasets demonstrate that the proposed approach reduces cross-regional forecasting error by more than 40 percent under zero-shot deployment compared with conventional fine-tuning strategies, while achieving up to 35 percent improvement over training-from-scratch baselines in limited-data scenarios. At the same time, competitive in-region accuracy is maintained. These findings indicate that structural disentanglement of transferable and localized dynamics offers a principled and scalable pathway toward robust load forecasting across heterogeneous power systems.
当模型部署在具有不同消费结构、气候条件和社会经济特征的异质区域时,准确的短期负荷预测变得特别具有挑战性。虽然现有的深度学习方法实现了强大的区域内性能,但当转移到未知区域时,它们往往会出现严重的退化,从而限制了互联电力系统的实际可扩展性。本研究探讨了短期负荷预测的跨区域泛化,并提出了一个结构化的时空表征分解框架,该框架明确地将区域不变的负荷产生机制与区域特定的调制效应分离开来。该框架在统一的学习目标中集成了不变的主干、正交约束的局部适应和跨区域的相似性对齐,直接嵌入了鲁棒性和泛化考虑。在多区域数据集上进行的大量实验表明,与传统的微调策略相比,该方法在零射击部署下将跨区域预测误差降低了40%以上,而在有限数据场景下,该方法比从头开始训练的基线提高了35%。同时,保持了具有竞争力的区域内精度。这些发现表明,可转移和局部动力学的结构解缠为跨异构电力系统的鲁棒负荷预测提供了原则性和可扩展的途径。
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引用次数: 0
Calculation of the extended probabilistic box of static voltage stability margin for a hybrid AC-DC power grid with renewables 可再生交直流混合电网静态电压稳定裕度扩展概率盒的计算
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-03-01 Epub Date: 2026-02-14 DOI: 10.1016/j.ijepes.2026.111681
Yunfeng Zhang , Shunjiang Lin , Wenfeng Yao , Yuerong Yang , Xuan Sheng , Mingbo Liu
High-order uncertainties arise in the cumulative distribution function parameters of wind speed and solar irradiance due to data gaps and statistical errors in renewable energy stations (RESs). To analyze their impact on the stochastic fluctuations of the static voltage stability margin (SVSM) in hybrid AC-DC power grids (HADPGs), a method for calculating the extended probability box (Ep-Box) of SVSM is proposed. The SVSM is first expressed in terms of the random variables of wind speed and solar irradiance using the stochastic response surface method. An approach combining the multidimensional change of variables theorem (MCVT) with auxiliary variables is then employed to derive the analytical Ep-Box expression, and an improved numerical scheme is introduced to enhance the efficiency of multiple integral computations. The resulting Ep-Box provides both the upper and lower bounds of the SVSM CDF and the probability density function (PDF) for SVSM falling below the security threshold, enabling accurate evaluation of static voltage instability risk. Case studies on a modified IEEE-39 bus system and an actual HADPG confirm that the proposed method achieves higher accuracy and computational efficiency than the double-layer Monte Carlo (DMC) sampling approach.
在可再生能源站(RESs)中,风速和太阳辐照度的累积分布函数参数由于数据差距和统计误差而产生高阶不确定性。为了分析它们对交直流混合电网静态电压稳定裕度(SVSM)随机波动的影响,提出了一种计算SVSM扩展概率盒(Ep-Box)的方法。首先用随机响应面法将SVSM表示为风速和太阳辐照度的随机变量。采用多维变量变换定理(MCVT)和辅助变量相结合的方法推导了解析型Ep-Box表达式,并引入了改进的数值格式,提高了多重积分计算的效率。由此得到的Ep-Box提供了SVSM CDF的上界和下界以及SVSM落在安全阈值以下的概率密度函数(PDF),从而能够准确评估静态电压不稳定风险。对改进的IEEE-39总线系统和实际的hapg进行了实例研究,结果表明该方法比双层蒙特卡罗(DMC)采样方法具有更高的精度和计算效率。
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引用次数: 0
Distribution network asymmetric fault location method based on ratio of positive and negative voltage from secondary side of distribution transformer 基于配电变压器二次侧正负电压比值的配电网不对称故障定位方法
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-03-01 Epub Date: 2026-02-14 DOI: 10.1016/j.ijepes.2026.111670
Shu Zhang, Yuyin Zhao, Wenhai Zhang, Xianyong Xiao
This paper presents a new method for asymmetric fault location in distribution network with distributed generations based on the voltage at secondary side of distribution transformers. The ratio of positive and negative voltage is defined as the fault feature to achieve the estimation of fault section and the fault distance. Firstly, the relationship between positive sequence voltage and negative sequence voltage in the fault condition was analyzed with the variation of line distance. Secondly, fault section identification depends on the changes in the defined feature ratio upstream and downstream of the fault point. Thirdly, the fault distance calculation is performed by solving systems of determined equations. Finally, the proposed fault location method is validated on the modified IEEE 34-bus and IEEE 134-bus distribution network with or without distributed generations. Simulation results show the robustness and accuracy of the method under several scenarios with fault resistance, fault types, neutral grounding modes and measurement errors.
提出了一种基于配电变压器二次侧电压的分布式电网非对称故障定位新方法。将正负电压的比值定义为故障特征,实现故障区段和故障距离的估计。首先,分析了故障状态下正序电压与负序电压随线路距离变化的关系;其次,故障段识别依赖于故障点上下游定义特征比的变化。第三,通过求解确定方程组进行故障距离计算。最后,在改进的IEEE 34总线和IEEE 134总线配电网上进行了故障定位方法的验证。仿真结果表明,该方法在故障电阻、故障类型、中性点接地方式和测量误差等多种情况下具有较好的鲁棒性和准确性。
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引用次数: 0
A peak load suppression strategy for clustered electric heating systems based on temperature-variation sequence equilibrium control 基于变温序列平衡控制的集束电供热系统峰值负荷抑制策略
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-03-01 Epub Date: 2026-02-23 DOI: 10.1016/j.ijepes.2026.111703
Gangui Yan , Shuaishuai Lv , Haitao Lan , Jia Yan , Chenglin Wang , Xinzhi Jin
The rapid development of clean heating through coal-to-electricity conversion is strongly supported by a high share of surplus green electricity. However, in urban residential communities with similar household characteristics, clustered electric heating systems are prone to synchronized load peaks, a phenomenon referred to as temperature peak resonance. This resonance poses a serious threat to distribution transformers and the upstream power grid. Existing quantity-based control strategies struggle to address this issue effectively, suffering from wide user intervention scope, frequent switching actions, and notable vulnerability to rebound peaks. In response, this study reveals that temperature peak resonance is fundamentally driven by the uneven distribution of temperature-variation sequence points. Consequently, a novel sequence-based control method is proposed, which utilizes the average heating power demand as a reference to guide device-level same-temperature sequence switching between positive and negative half-cycles. Case studies demonstrate that the proposed strategy reduces the load peak-to-valley difference by approximately 92%. Ultimately, this approach eliminates safety threats to distribution transformers while ensuring user comfort and reducing device switching frequency.© 2017 Elsevier Inc. All rights reserved.
通过煤改电实现清洁供热的快速发展,得到了大量剩余绿色电力的有力支持。然而,在家庭特征相似的城市居民社区中,集群式电采暖系统容易出现同步负荷峰值,这种现象被称为温度峰值共振。这种谐振对配电变压器和上游电网构成严重威胁。现有的基于数量的控制策略很难有效地解决这一问题,因为用户干预范围大,切换动作频繁,并且明显容易受到反弹峰值的影响。因此,本研究表明,温度峰值共振从根本上是由温度变化序列点分布不均匀驱动的。在此基础上,提出了一种基于顺序的控制方法,该方法以平均加热功率需求为参考,指导器件级同温顺序在正半周期和负半周期之间切换。案例研究表明,该策略将负载峰谷差降低了约92%。最终,这种方法消除了配电变压器的安全威胁,同时确保用户舒适并降低设备开关频率。©2017 Elsevier Inc.版权所有。
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引用次数: 0
A non-intrusive decentralized approach to stabilizing IBR-dominated AC microgrids 稳定ibr主导的交流微电网的非侵入式分散式方法
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-03-01 Epub Date: 2026-02-27 DOI: 10.1016/j.ijepes.2026.111712
Tong Huang
This paper presents a non-intrusive, decentralized approach that stabilizes AC microgrids dominated by inverter-based resources (IBRs). By “non-intrusive” we mean that the approach does not require reprogramming IBRs’ controllers to stabilize the microgrids. “Decentralized” is in the sense that the approach stabilizes the microgrids without communication among IBRs. Implementing the approach only requires very minimal information of IBR dynamics, i.e., the L2 gain of an IBR, and sharing such information with the non-IBR-manufacturer parties does not cause any concerns on intellectual property privacy. The approach allows for plug-and-play operation of IBRs, while maintaining microgrid stability. The proposed approach is tested by simulating 2-IBR and 10-IBR microgrids where lines and IBRs are modeled in the electromagnetic transient time scale. Simulations show that oscillations with increasing amplitudes may occur, when two stable microgrids are networked. Simulations also suggest that the proposed approach can mitigate such a system-level symptom.
本文提出了一种非侵入式、分散式的方法来稳定由基于逆变器的资源(IBRs)主导的交流微电网。所谓“非侵入性”是指这种方法不需要重新编程ibr的控制器来稳定微电网。“去中心化”是指这种方法在不需要ibr之间通信的情况下稳定了微电网。实施该方法只需要非常少的IBR动态信息,即IBR的L2增益,并且与非IBR制造商方共享此类信息不会引起任何知识产权隐私问题。该方法允许ibr即插即用操作,同时保持微电网的稳定性。通过对2-IBR和10-IBR微电网进行仿真,验证了该方法的可行性。仿真结果表明,当两个稳定的微电网并网时,可能会出现振幅增加的振荡。仿真还表明,所提出的方法可以减轻这种系统级症状。
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引用次数: 0
Collaborative optimization of hydrogen-based multipark integrated energy systems under multiple heterogeneous uncertainties 多异构不确定条件下氢基多园区综合能源系统协同优化
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2026-03-01 Epub Date: 2026-03-03 DOI: 10.1016/j.ijepes.2026.111684
Quanjun Zhang, Jianjing Li, Bo Sun, Fan Li
Hydrogen, as an ideal energy carrier, can facilitate multienergy flow interactions and enhance energy coordination across diverse types of parks. Multiple heterogeneous uncertainties introduced by the hydrogen industry chain exacerbate the complexity of the operational optimization process. To this end, a hybrid robust interval optimization method is proposed herein for hydrogen-based multipark integrated energy systems (HMIESs) that consider hydrogen delivery and transportation. First, a park-level joint operational optimization model is developed that integrates hydrogen production, storage, transportation, and utilization. Then, a novel vehicle-based dynamic transportation pattern is proposed to fully leverage the potential performance benefits of HMIESs synergy. Meanwhile, the uncertainties associated with hydrogen transportation and energy demand are characterized using an ambiguity set and probability distributions of uncertain scenarios, respectively. The predicted uncertainties of renewable energy sources are described using interval numbers. Moreover, the strong duality theory and segmented linearization technique are introduced to reformulate the complex hybrid nonlinear optimization problem into a tractable mixed-integer linear programming problem. Finally, the effectiveness of the proposed method is verified via comprehensive case studies. Results reveal that hydrogen interaction across HMIESs and adequate considerations of multiple uncertainties reduce the actual overall operating costs.
氢气作为一种理想的能量载体,可以促进多能流相互作用,增强不同类型公园之间的能量协调。氢产业链引入的多重异质不确定性加剧了运营优化过程的复杂性。为此,提出了一种考虑氢气输送和运输的氢基多园区综合能源系统(HMIESs)的混合鲁棒区间优化方法。首先,建立了集氢气生产、储存、运输和利用为一体的园区级联合运营优化模型。然后,提出了一种新的基于车辆的动态运输模式,以充分利用hmess协同的潜在性能优势。同时,用不确定情景的模糊集和概率分布来描述氢运输和能源需求的不确定性。用区间数描述了可再生能源预测的不确定性。引入强对偶理论和分段线性化技术,将复杂的混合非线性优化问题转化为可处理的混合整数线性规划问题。最后,通过综合案例分析验证了所提方法的有效性。结果表明,氢在hmess之间的相互作用和对多重不确定性的充分考虑降低了实际的总体运行成本。
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引用次数: 0
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International Journal of Electrical Power & Energy Systems
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