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Adaptive power flow analysis for power system operation based on graph deep learning 基于图深度学习的电力系统运行自适应功率流分析
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-08-14 DOI: 10.1016/j.ijepes.2024.110166

Conventional model-driven methods are hard to handle large-scale power flow with multivariate uncertainty, variable topology, and massive real-time repetitive calculations. With the ability to deal with non-Euclidean graph-structured power system data, graph deep learning shows great potential in modern power flow calculation. However, general graph deep learning based power flow calculation has limited adaptability because of its sole mapping of node information and black-box attributes. In this paper, an edge graph attention network based power flow calculation (EGAT-PFC) model is proposed with improved adaptability for power flow analysis of complex system scenarios. First, the dual-model structure of the node model and edge model is constructed to realize a complete power flow mapping covering all information in power systems. Second, an improved learnable attention coefficient mechanism fusing node and edge features is proposed to ensure global information can be completely considered. Third, mechanisms of extended first-order neighborhood, dynamic normalization, and regularization-based loss function are designed to improve training performance. Finally, visualized interpretability is developed to show valuable information of vulnerable nodes and lines of power system operation. The numerical simulation verifies that EGAT-PFC has high accuracy, fast mapping, as well as excellent adaptability to variable topologies.

传统的模型驱动方法难以处理具有多变量不确定性、可变拓扑结构和大量实时重复计算的大规模电力流。图深度学习能够处理非欧几里得图结构的电力系统数据,在现代电力流计算中显示出巨大潜力。然而,基于图深度学习的一般电力流计算由于仅映射节点信息和黑盒属性,其适应性有限。本文提出了一种基于边缘图注意力网络的功率流计算(EGAT-PFC)模型,提高了复杂系统场景下功率流分析的适应性。首先,构建了节点模型和边缘模型的双模型结构,实现了涵盖电力系统所有信息的完整电力流映射。其次,提出了一种融合节点和边缘特征的改进型可学习注意力系数机制,以确保能够完全考虑全局信息。第三,设计了扩展一阶邻域、动态归一化和基于正则化的损失函数机制,以提高训练性能。最后,开发了可视化可解释性,以显示电力系统运行中脆弱节点和线路的有价值信息。数值模拟验证了 EGAT-PFC 的高精确度、快速映射以及对多变拓扑结构的良好适应性。
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引用次数: 0
Security constrained unit commitment in smart energy systems: A flexibility-driven approach considering false data injection attacks in electric vehicle parking lots 智能能源系统中的安全受限单元承诺:考虑电动汽车停车场虚假数据注入攻击的灵活驱动方法
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-08-14 DOI: 10.1016/j.ijepes.2024.110180

In this paper, a new structure, the so-called FBSCUCFDIP-P/EV is proposed as flexibility-based security constrained unit commitment (SCUC) in the presence of false data injection (FDI) attack into the communication infrastructure of electric vehicle parking lot (EVPL). Herein, the uncertain EVPLs are integrated into the SCUC problem with the aim of reducing the operation cost. It is notable that growing integration of unspecified EVPLs can introduce novel challenges to the power system, significantly impacting its flexibility. In this study, electric vehicles are leveraged as a means to enhance system flexibility. Meanwhile, the FDI attacks in EVPLs can distort the system’s flexibility and lead to inaccurate assessments of the power system’s ability to adapt to changing conditions. In order to model the FDI attack, a bi-level optimization problem based on mixed integer linear programming is formulated. At the upper level, the impact of EVPLs on the flexibility indices of the SCUC is evaluated, and the false data injected into the EVPL is calculated at the lower level. Since both levels of the proposed FBSCUCFDIP-P/EV include discrete variables, a reformulation and decomposition technique is utilized to achieve the optimal solution. Instead, an extreme gradient boosting (XGBoost)-based machine learning method is considered to detection and correction of FDI attack. The proposed approach is tested on the IEEE 24-bus system. The simulation results initially indicate the improvement of the flexibility of the power system in proposed structure. Further, injecting false data into all available EVPLs causes to increase the system operation cost. Besides, false data leads to distorted charging and discharging scheduling of EVPLs; likewise, scheduling and commitment of power generation units also changes. Subsequently, the application of the XGBoost algorithm effectively mitigates the impact of FDI attacks, achieving a maximum accuracy of 85.41%.

本文提出了一种新结构,即所谓的 FBSCUCFDIP-P/EV,作为电动汽车停车场(EVPL)通信基础设施中存在虚假数据注入(FDI)攻击时基于灵活性的安全约束单元承诺(SCUC)。在此,不确定的 EVPL 被纳入 SCUC 问题,目的是降低运营成本。值得注意的是,越来越多的不确定电动汽车停车场的集成会给电力系统带来新的挑战,严重影响其灵活性。在本研究中,电动汽车被用作增强系统灵活性的一种手段。同时,EVPL 中的 FDI 攻击会扭曲系统的灵活性,导致对电力系统适应变化条件的能力评估不准确。为了模拟 FDI 攻击,本文提出了一个基于混合整数线性规划的双层优化问题。上层评估 EVPL 对 SCUC 灵活性指数的影响,下层计算注入 EVPL 的虚假数据。由于所提出的 FBSCUCFDIP-P/EV 的两个层次都包含离散变量,因此采用了重新表述和分解技术来实现最优解。此外,还考虑采用基于极梯度提升(XGBoost)的机器学习方法来检测和纠正 FDI 攻击。所提出的方法在 IEEE 24 总线系统上进行了测试。仿真结果初步表明,所提议的结构提高了电力系统的灵活性。此外,向所有可用 EVPL 注入虚假数据会增加系统运行成本。此外,虚假数据会导致 EVPL 的充放电调度失真,同样,发电单元的调度和承诺也会发生变化。随后,XGBoost 算法的应用有效地减轻了 FDI 攻击的影响,最大准确率达到 85.41%。
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引用次数: 0
Shooting method based modular multilevel converter initialization for electromagnetic transient analysis 基于射击法的模块化多电平转换器电磁瞬态分析初始化
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-08-13 DOI: 10.1016/j.ijepes.2024.110163

This paper presents an accurate and efficient initialization strategy for modular multilevel converters (MMCs) based on the shooting method, a numerical technique aimed at deriving the periodic steady-state operating condition of any circuit. This technique is compatible with MMC models of different levels of detail and whose control scheme may include modulation strategies and capacitor voltage balancing algorithms. Electromagnetic transient simulations of the NORDIC32 power system modified by adding a high-voltage direct current link with 128-level MMCs prove that the proposed initialization strategy allows starting simulations close to steady-state, thereby significantly limiting initialization transients and their corresponding extra CPU time.

本文提出了一种基于射击法的模块化多电平转换器(MMC)精确而高效的初始化策略,射击法是一种数值技术,旨在推导出任何电路的周期性稳态工作状态。该技术兼容不同详细程度的多电平转换器模型,其控制方案可能包括调制策略和电容器电压平衡算法。通过对 NORDIC32 电力系统进行电磁瞬态仿真,并在其中增加了一个带有 128 级 MMC 的高压直流链路,证明所提出的初始化策略可以在接近稳态时启动仿真,从而显著限制了初始化瞬态及其相应的额外 CPU 时间。
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引用次数: 0
Strategic optimization framework considering unobservability in multi-voltage active distribution networks 考虑到多电压主动配电网络不可观测性的战略优化框架
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-08-12 DOI: 10.1016/j.ijepes.2024.110127

An increase in the share of weather-dependent generation at low voltage levels necessitates incorporating the low-voltage network in optimizing a distribution network. Optimization in a multi-voltage network requires significant computation time and effort due to many nodes operating at different voltage levels. This research proposes a decomposition and strategic optimization method to reduce the computation requirements for such large multi-voltage distribution networks. The proposed algorithm reduces the space complexity and the computation time required for solving the optimization routines of these multi-voltage distribution networks. A virtual transformer model incorporates tap-changer as a continuous variable in the semidefinite programming power flow optimization model. The zero-duality gap condition for multiple virtual transformers is proven empirically. Compared to a centralized optimization using the same power flow model, the proposed framework reduced the computation time by 96%.

随着低电压等级下依赖天气发电的比例增加,有必要将低电压网络纳入配电网络优化中。由于许多节点在不同的电压等级上运行,多电压网络的优化需要大量的计算时间和精力。本研究提出了一种分解和策略优化方法,以降低此类大型多电压配电网络的计算要求。所提出的算法降低了空间复杂度,减少了解决这些多电压配电网络优化例程所需的计算时间。虚拟变压器模型将分接开关作为连续变量纳入半有限编程功率流优化模型。经验证明了多个虚拟变压器的零对偶间隙条件。与使用相同电力流模型的集中优化相比,所提出的框架减少了 96% 的计算时间。
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引用次数: 0
Optimal hierarchical modeling of power to X stations through a chance constrained Two-Stage stochastic programming 通过机会受限的两阶段随机程序设计对 X 站的电力进行优化分层建模
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-08-12 DOI: 10.1016/j.ijepes.2024.110169

The carbon neutrality policy aiming for net zero carbon emissions has led to a significant increase in the use of renewable energy sources (RES) globally. However, due to their uncertain nature, RES can cause imbalances in power demand. Recently, Power-to-X (P2X) station technology has gained attention as a solution to the uncertainties of RES and as a means to enhance the capacity and efficiency of RES operations. P2X stations can be utilized when power demand imbalances occur due to the uncertain output of RES or when the power system cannot accommodate the power supply from RES due to various stability issues. Specifically, when supply disruptions occur in the power system due to RES uncertainties, P2X stations contribute to preventing RES curtailment by supplying power to electric vehicle (EV) fuel sources, producing heat using electric heat pumps (EHP), or producing hydrogen using electrolyzers (ELZ), thus improving the uncertain financial benefits for independent power producers (IPP). This paper proposes a mixed-integer linear programming (MILP) based chance-constrained two-stage stochastic optimization (CCTS) approach to address imbalances in power demand from RES and to enhance the profitability of IPP by finding the optimal planning and operational solutions for P2X stations. The proposed method provides hierarchical level results, demonstrating that economic benefits can increase by up to 60.2% with the application of P2X stations and that curtailed energy from RES can be reduced by up to 76.5%. The proposed methodology is also validated for its superior performance by being compared with both the non-linear stochastic chance constraint method and the stochastic method.

以净零碳排放为目标的碳中和政策导致全球范围内可再生能源(RES)的使用大幅增加。然而,由于其不确定性,可再生能源会导致电力需求失衡。最近,P2X(Power-to-X)电站技术作为解决可再生能源不确定性的一种方法,以及提高可再生能源运行能力和效率的一种手段,受到了人们的关注。当可再生能源的不确定输出导致电力需求失衡,或电力系统因各种稳定性问题无法满足可再生能源的电力供应时,就可以利用 P2X 电站。具体来说,当电力系统因可再生能源的不确定性而出现供电中断时,P2X 电站可通过向电动汽车 (EV) 燃料源供电、利用电热泵 (EHP) 制热或利用电解槽 (ELZ) 制氢来防止可再生能源的削减,从而提高独立发电商 (IPP) 的不确定经济效益。本文提出了一种基于混合整数线性规划(MILP)的机会约束两阶段随机优化(CCTS)方法,以解决可再生能源电力需求的不平衡问题,并通过寻找 P2X 发电站的最佳规划和运营方案来提高 IPP 的盈利能力。所提出的方法提供了分层结果,表明应用 P2X 电站后,经济效益最多可增加 60.2%,可再生能源削减的能源最多可减少 76.5%。通过与非线性随机机会约束方法和随机方法进行比较,还验证了所提出方法的优越性能。
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引用次数: 0
K-means clustering method based on nearest-neighbor density matrix for customer electricity behavior analysis 基于近邻密度矩阵的 K-means 聚类方法用于用户用电行为分析
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-08-11 DOI: 10.1016/j.ijepes.2024.110165

User clustering is crucial for tapping the flexibility of the load side and realizing dynamic management of power loads in new power system. K-means method is widely used in clustering analysis due to its simplicity, high efficiency, and scalability, but it needs to specify the number of clusters in advance, and is sensitive to the initial clustering centers. The current initialization method does not take into account the neighborhood distribution of the data points, and the direct use of data that has undergone dimensionality reduction processing leads to inaccurate selection of the initial clustering centers. To address the above problems, a new K-means improvement method that takes into account the initialization problem and the adaptive determination of the number of clusters: K-means clustering method based on nearest-neighbor density matrix is proposed in this paper. The method improves the efficiency of nearest neighbor search by building a K-D tree, and enhances the performance of unsupervised classification by utilizing the adaptive selection strategy of the number of clusters and the initial clustering centers selection algorithm. The proposed method is applied to real datasets, and its effectiveness is assessed by calculating three clustering evaluation metrics of the clustering results in comparison with several existing initialization and clustering methods. The experimental results show that the method proposed in this paper has higher stability and better clustering performance than existing clustering methods.

在新的电力系统中,用户聚类对于挖掘负荷侧的灵活性和实现电力负荷的动态管理至关重要。K-means 方法因其简单、高效、可扩展性强等特点被广泛应用于聚类分析中,但该方法需要提前指定聚类个数,且对初始聚类中心敏感。目前的初始化方法没有考虑数据点的邻域分布,直接使用经过降维处理的数据会导致初始聚类中心的选择不准确。针对上述问题,一种新的 K-means 改进方法考虑到了初始化问题和自适应确定聚类数量的问题:本文提出了一种基于近邻密度矩阵的 K-means 聚类方法。该方法通过构建 K-D 树提高了近邻搜索的效率,并利用簇数自适应选择策略和初始聚类中心选择算法提高了无监督分类的性能。将提出的方法应用于真实数据集,通过计算聚类结果的三个聚类评价指标,与现有的几种初始化和聚类方法进行比较,评估其有效性。实验结果表明,与现有的聚类方法相比,本文提出的方法具有更高的稳定性和更好的聚类性能。
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引用次数: 0
A system-level harmonic mitigation method for HVDC systems – A practical case study 高压直流系统的系统级谐波缓解方法 - 实用案例研究
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-08-09 DOI: 10.1016/j.ijepes.2024.110147

In recent years, non-characteristic harmonic resonance was observed in several high-voltage direct current (HVDC) systems in China. Intuitively, additional filters can be installed to mitigate the resonance. However, such a solution does not prevent the harmonic penetration from nearby substations. As a result, the harmonic issue in HVDC systems cannot be well addressed. In view of the above, this paper presents a system-level harmonic mitigation method. The basic idea is to address the harmonic pollution by mitigating harmonic sources and harmonic resonance simultaneously. To achieve this goal, candidates of filters to suppress the resonance at the HVDC station are investigated first. Then, an optimal filter design problem is established to determine the location, type and capacity of multiple filters that can achieve the system-level harmonic mitigation with the minimum cost. Particularly, an improved particle swarm algorithm with adaptive mutation operators is tailor-designed to solve the proposed optimization problem. Finally, the proposed method is applied to address the harmonic problem faced by a real-life HVDC system in eastern China. The result demonstrates that compared with the solutions solely mitigating harmonic sources or resonance, the method presented in this paper is more cost-effectiveness.

近年来,在中国的几个高压直流(HVDC)系统中观察到了非特征性谐波共振。直观地说,可以安装额外的滤波器来缓解谐振。然而,这种解决方案并不能防止来自附近变电站的谐波渗透。因此,高压直流系统中的谐波问题无法得到很好的解决。有鉴于此,本文提出了一种系统级谐波缓解方法。其基本思想是通过同时缓解谐波源和谐波谐振来解决谐波污染问题。为实现这一目标,首先研究了抑制高压直流站谐振的滤波器候选方案。然后,建立优化滤波器设计问题,以确定多个滤波器的位置、类型和容量,从而以最小的成本实现系统级谐波缓解。特别是,为解决提出的优化问题,专门设计了一种带有自适应突变算子的改进型粒子群算法。最后,提出的方法被应用于解决中国东部一个实际高压直流系统所面临的谐波问题。结果表明,与单纯缓解谐波源或谐振的解决方案相比,本文提出的方法更具成本效益。
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引用次数: 0
An optimal dispatch model for distribution network considering the adaptive aggregation of 5G base stations 考虑 5G 基站自适应聚合的配电网络优化调度模型
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-08-09 DOI: 10.1016/j.ijepes.2024.110170

Leveraging the dispatchability of 5G base station energy storage (BSES) not only enables the mobile network operator (MNO) to gain additional revenue, but also facilitates the integration of renewable energy sources in distribution network (DN). However, since BSES and DN are owned by different stakeholders, integrating BSES into DN operations poses significant challenges. In this regard, this paper proposes a DN optimal dispatch model that incorporates the adaptive aggregation of 5G base stations (BSs) through a cooperative game framework. Firstly, the dispatchability of BSESs is analyzed and modelled. Considering it is difficult to dispatch every single unit optimally, an adaptive aggregation model of 5G BSs is established, where the electrical coupling degree and the communication service similarity are taken as comprehensive metrics. On this basis, an optimal dispatch model of DN based on cooperative game is constructed, where the total operational costs of 5G BSs and DN are considered as the characteristic function. The number of 5G BS clusters and the aggregating results are adjusted adaptively during optimization. The optimal aggregation of 5G BSs is achieved using the Affinity Propagation (AP) clustering algorithm. Furthermore, to solve the optimal dispatch model of the DN with enhanced computational efficiency, the particle swarm optimization algorithm integrated with second-order cone programming (PSO-SOCP) is employed. After dispatching, the benefit allocation between MNO and distribution system operator (DSO) is conducted using the Shapley value method and the Equal Profit Method to obtain an entire range of allocation results. Finally, simulations are carried out with results proving the effectiveness of the proposed method.

利用 5G 基站储能(BSES)的可调度性,不仅能使移动网络运营商(MNO)获得额外收入,还能促进配电网(DN)中可再生能源的整合。然而,由于 BSES 和 DN 由不同的利益相关者拥有,因此将 BSES 整合到 DN 运营中会带来巨大挑战。为此,本文提出了一种 DN 优化调度模型,该模型通过合作博弈框架将 5G 基站(BS)的自适应聚合纳入其中。首先,对 BSES 的可调度性进行分析和建模。考虑到难以对每台设备进行最优调度,建立了 5G BS 的自适应聚合模型,将电耦合度和通信业务相似度作为综合指标。在此基础上,构建基于合作博弈的 DN 优化调度模型,将 5G BS 和 DN 的总运营成本作为特征函数。在优化过程中,5G BS 集群的数量和聚合结果会进行自适应调整。使用亲和传播(AP)聚类算法实现 5G BS 的优化聚类。此外,为了以更高的计算效率求解 DN 的优化调度模型,采用了粒子群优化算法与二阶锥编程(PSO-SOCP)相结合的方法。调度结束后,使用 Shapley 值法和等额利润法在移动网络运营商和配电系统运营商之间进行利益分配,以获得整个分配范围的结果。最后,进行了仿真,结果证明了所提方法的有效性。
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引用次数: 0
Current sensitivity based OPF framework for active distribution network 基于电流灵敏度的主动配电网 OPF 框架
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-08-08 DOI: 10.1016/j.ijepes.2024.110150

Proliferation of distributed energy resources (DERs) and proactive consumers has mooted over the pre-existing pricing mechanisms for active distribution networks (ADNs). This entails the need for a pricing mechanism in conjunction with cost-effective ADN operations. Locational marginal price (LMP) is a well-established pricing mechanism of the day-ahead wholesale market in most countries and provides economic signals and incentives to market participants. However, the alternating current optimal power flow (ACOPF) model (being non-deterministic polynomial-time hard) has inherent complexities and convergence issues. Besides, the approximations involved in its implementation for transmission networks may not be applicable to ADN due to their technical and structural differences. Hence, a distribution LMP (DLMP) model is indispensable for the evolving ADN. This paper proposes a network-dependent sensitivity-based branch-flow quadratic OPF model for evaluating active and reactive power DLMPs of ADNs. The DLMPs are calculated using the sensitivities and dual variables of the OPF model, which consist of incremental costs for energy, loss, congestion, and voltage components. These signals would offer an equitable price for each DER, accounting for their contribution to network conditions. The efficacy of the proposed model has been elucidated on the 33, 69, 118, and 141-node ADNs, and the results are compared with five state-of-the-art models.

分布式能源资源(DER)和积极主动的消费者的激增,使现有的主动配电网(ADN)定价机制受到质疑。这就需要建立一种定价机制,与具有成本效益的 ADN 运营相结合。在大多数国家,当地边际价格(LMP)是一种成熟的日前批发市场定价机制,为市场参与者提供经济信号和激励。然而,交流最优功率流(ACOPF)模型(非确定性多项式时间困难)具有固有的复杂性和收敛性问题。此外,由于技术和结构上的差异,针对输电网络的近似实现可能不适用于 ADN。因此,对于不断发展的 ADN 来说,分布式 LMP(DLMP)模型是必不可少的。本文提出了一种基于网络灵敏度的分支流二次 OPF 模型,用于评估 ADN 的有功和无功功率 DLMP。DLMP 使用 OPF 模型的敏感性和双变量计算,其中包括能量、损耗、拥塞和电压成分的增量成本。这些信号将为每个 DER 提供公平的价格,同时考虑到它们对网络条件的贡献。已在 33、69、118 和 141 节点 ADN 上阐明了所提模型的功效,并将结果与五种最先进的模型进行了比较。
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引用次数: 0
Two-stage distributionally robust optimal operation of rural virtual power plants considering multi correlated uncertainties 考虑多相关不确定性的农村虚拟电厂两阶段分布式鲁棒优化运行
IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-08-08 DOI: 10.1016/j.ijepes.2024.110173

The efficient utilization of biomass energy and the optimal operation of integrated renewable energy sources in virtual power plants have become critical issues that need addressing to achieve carbon neutrality targets in rural areas. This paper introduces a model for rural biomass energy generation based on the characteristics of rural biogas availability, fermentation efficiency, and utilization status. A model for a rural virtual power plant is proposed, taking into account the flexible response capacity of renewable energy sources consumption and load demand response. Additionally, the correlated uncertainties of photovoltaic and wind turbine outputs are addressed by leveraging the flexible biogas power generation in the rural virtual power plant. The scenario generation method is proposed based on the Copula function to describe the correlated uncertainties. Aiming to minimize the system operating cost while ensuring the safe operation of the system, a two-stage distributionally robust optimization operation model for the rural virtual power plant is proposed. The dual vertices fixing based algorithm is developed to solve the two-stage distributionally robust optimal operation problem. Simulation results demonstrate that the proposed model and method effectively reduce over-robustness by addressing correlated uncertainties and achieve the safe, economical, and green operation of the rural energy system under uncertain conditions.

生物质能源的高效利用和虚拟发电厂中可再生能源的优化综合运行已成为农村地区实现碳中和目标需要解决的关键问题。本文根据农村沼气的可用性、发酵效率和利用状况等特点,介绍了一种农村生物质能发电模型。考虑到可再生能源消费的灵活响应能力和负荷需求响应,提出了一个农村虚拟发电厂模型。此外,通过利用农村虚拟发电厂中的灵活沼气发电,解决了光伏发电和风力涡轮机输出的相关不确定性。提出了基于 Copula 函数的情景生成方法来描述相关的不确定性。为了在确保系统安全运行的同时使系统运行成本最小化,提出了农村虚拟电厂的两阶段分布式鲁棒优化运行模型。开发了基于对偶顶点固定的算法来解决两阶段分布式鲁棒优化运行问题。仿真结果表明,所提出的模型和方法通过解决相关不确定性,有效地降低了过稳健性,实现了农村能源系统在不确定条件下的安全、经济和绿色运行。
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引用次数: 0
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