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Sensitivity analysis for stability region of inverter-based resources with direct method and real-time simulation setup 利用直接法和实时仿真设置对基于逆变器的资源的稳定区域进行敏感性分析
IF 3.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-07 DOI: 10.1016/j.epsr.2024.111020

Inverter-based resources (IBRs) have become indispensable in power systems due to their numerous environmental and operational advantages, which can contribute to enhancing overall grid reliability and resilience. However, due to their stability limitations, IBRs commonly disconnect from the grid when a grid-side disturbance happens. Therefore, inverters’ extensive integration introduces complexities and challenges to power system stability, necessitating the adoption of sophisticated stability assessment tools. One practical approach for assessing large-signal stability involves delineating the system’s stability region. Traditionally, two primary methods have been employed for this purpose: time-domain simulation and direct methods. To tackle the stability assessment of IBRs and sensitivity analysis of stability region, this paper introduces a theoretical direct method based on the sum of squares (SOS) method. It provides a Hardware-in-the-Loop (HIL) simulation to verify the results. The SOS method offers a more precise and less conservative representation of the stability region. Through applying the SOS method, this paper endeavors to establish and investigate the stability region for grid-tied IBR while conducting sensitivity analysis of the inverter responses to grid-side disturbances. This sensitivity analysis specifically delves into the impacts of different load levels and different voltage-loop control parameters on the stability region of the IBR and inverter transit response. In other words, the study develops a theoretical approach using the nonlinear dynamic model and Lyapunov-based stability assessment to understand how a modification in the system can affect the stability region of the IBR and the dynamic response of the inverter for a grid-side fault. The SOS method is applied to construct an accurate Lyapunov function for the system, and the Lyapunov-based stability assessment is used to study system stability under a large disturbance. Besides the numerical sensitivity analysis of inverter dynamic response, the accuracy of the sensitivity analysis is validated through complementary techniques, including time-domain simulations of a grid-tied IBR and high-fidelity HIL simulations using a real-time digital simulation (RTDS) platform. The result proves the outcomes of numerical stability analysis and sensitivity assessment of the IBR using an SOS-based stability analysis.

基于逆变器的资源(IBRs)因其在环境和运行方面的诸多优势,已成为电力系统中不可或缺的资源,有助于提高整体电网的可靠性和恢复能力。然而,由于其稳定性的限制,当电网侧发生干扰时,IBR 通常会断开与电网的连接。因此,逆变器的广泛集成给电力系统的稳定性带来了复杂性和挑战,有必要采用复杂的稳定性评估工具。评估大信号稳定性的一种实用方法是划定系统的稳定区域。传统上,有两种主要方法可用于此目的:时域模拟和直接方法。针对 IBR 的稳定性评估和稳定性区域的灵敏度分析,本文介绍了一种基于平方和(SOS)方法的理论直接方法。它提供了硬件在环 (HIL) 仿真来验证结果。SOS 方法提供了一种更精确、更不保守的稳定区域表示方法。通过应用 SOS 方法,本文致力于建立和研究并网 IBR 的稳定区域,同时对逆变器对电网侧干扰的响应进行灵敏度分析。该灵敏度分析具体探讨了不同负载水平和不同电压回路控制参数对 IBR 稳定区域和逆变器过渡响应的影响。换句话说,该研究利用非线性动态模型和基于 Lyapunov 的稳定性评估开发了一种理论方法,以了解系统中的修改会如何影响 IBR 的稳定区域和逆变器对电网侧故障的动态响应。应用 SOS 方法为系统构建精确的 Lyapunov 函数,并使用基于 Lyapunov 的稳定性评估来研究大扰动下的系统稳定性。除了对逆变器动态响应进行数值灵敏度分析外,还通过辅助技术验证了灵敏度分析的准确性,包括并网 IBR 的时域仿真和使用实时数字仿真 (RTDS) 平台进行的高保真 HIL 仿真。结果证明了使用基于 SOS 的稳定性分析对 IBR 进行数值稳定性分析和灵敏度评估的结果。
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引用次数: 0
Optimizing sustainable energy integration: A novel approach using concentrated solar plant and hybrid power supply 优化可持续能源集成:利用聚光太阳能发电厂和混合供电的新方法
IF 3.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-07 DOI: 10.1016/j.epsr.2024.111050

This study pioneers sustainable energy solutions amidst escalating demand and fossil fuel depletion. Its primary novelty lies in proposing an integrated energy system, encompassing a concentrated solar plant, thermal energy system, and hybrid power supply within the solar energy domain. This integration substantially enhances overall system performance. The architectural design integrates various energy conversion components, including wind turbines, energy storage devices, and electric heaters, fostering synergistic collaboration. The optimization of energy usage is a key focus, utilizing heating and electricity costs as pivotal signals for participation in an Integrated Demand Response program (IRD). The demand response model, encompassing both thermal and electric loads, incorporates a sophisticated price elasticity matrix. Addressing challenges associated with renewable energy intermittency, phased carbon emissions, and the advantages of demand response, this study introduces an advanced system operation optimization model to effectively curtail operational costs. In the realm of methodology, this research breaks new ground by proposing an enhanced optimization algorithm that ingeniously combines the Whale Optimization Algorithm (WOA) with the Wavelet Transform (WT). This novel amalgamation significantly enhances the algorithm's search capabilities, providing superior performance in tackling the complexities inherent in the optimization problem. The proposed model undergoes rigorous evaluation in a comprehensive study featuring diverse energy sources and multiple scenarios. The outcomes of this evaluation distinctly showcase substantial reductions in overall operational costs compared to conventional approaches. This multifaceted contribution positions the study at the forefront of endeavors to revolutionize energy systems for enhanced sustainability and efficiency.

在需求不断增长和化石燃料日益枯竭的情况下,这项研究开创了可持续能源解决方案。其主要创新之处在于提出了一种集成能源系统,包括太阳能领域内的聚光太阳能电站、热能系统和混合电源。这种集成大大提高了系统的整体性能。建筑设计集成了各种能源转换组件,包括风力涡轮机、储能装置和电加热器,促进了协同合作。能源使用的优化是一个重点,利用供热和电力成本作为参与综合需求响应计划(IRD)的关键信号。需求响应模型包括热负荷和电负荷,并包含一个复杂的价格弹性矩阵。为应对与可再生能源间歇性、阶段性碳排放以及需求响应优势相关的挑战,本研究引入了先进的系统运行优化模型,以有效降低运行成本。在方法论方面,本研究提出了一种增强型优化算法,巧妙地将鲸鱼优化算法(WOA)与小波变换(WT)结合起来,开辟了新的领域。这种新颖的组合极大地增强了算法的搜索能力,在解决优化问题固有的复杂性方面提供了卓越的性能。在一项综合研究中,对所提出的模型进行了严格评估,该研究涉及多种能源和多种场景。评估结果表明,与传统方法相比,整体运营成本大幅降低。这一多方面的贡献使该研究站在了能源系统革新的最前沿,从而提高了可持续性和效率。
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引用次数: 0
A new approach for mitigating voltage unbalance in a three-phase two-wire rural distribution network 缓解三相双线农村配电网电压不平衡的新方法
IF 3.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-07 DOI: 10.1016/j.epsr.2024.111042

The three-phase two-wire distribution system is an unconventional proposal for the repowering of single wire earth return electrical networks, intended for use in remote rural areas as it allows cost reduction by using only two overhead conductors and the ground as the third phase. An intrinsic characteristic of this system is the voltage unbalance observed near the loads, resulting from impedance mismatches between overhead conductors and the ground. The main objective of this work is to explore methodologies for minimizing voltage unbalance by strategically introducing impedance elements in targeted sections of the distribution network. A novel simplified equation for line-to-line compensation based on network parameters, along with a precise computational methodology to determine optimal compensation values, are proposed as contributions to the state of the art. The simulations in MatLab/Simulink demonstrate that the arrangement in which the compensation elements are added to the system directly impacts the voltage unbalance. Moreover, the study demonstrates the efficacy of the developed computational methodology in effectively reducing unbalance within extensive distribution networks.

三相两线制配电系统是为单线接地电网重新供电而提出的一种非常规建议,适用于偏远农村地区,因为它仅使用两根架空导线和地面作为第三相,可以降低成本。该系统的一个固有特征是,由于架空导线和地面之间的阻抗失配,在负载附近会出现电压不平衡现象。这项工作的主要目的是探索通过在配电网络的目标部分战略性地引入阻抗元件来尽量减少电压不平衡的方法。本文提出了一种基于网络参数的线对线补偿简化方程,以及一种确定最佳补偿值的精确计算方法,作为对最新技术的贡献。MatLab/Simulink 中的模拟结果表明,将补偿元件添加到系统中的排列方式会直接影响电压不平衡。此外,该研究还证明了所开发的计算方法在有效减少大范围配电网络中不平衡现象方面的功效。
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引用次数: 0
Transmission line rating assessment using numerical weather prediction (NWP) models 利用数值天气预报(NWP)模型评估输电线路等级
IF 3.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-06 DOI: 10.1016/j.epsr.2024.111032

The traditional approach for defining the line ampacity ratings of Overhead Lines (OHLs) is static and tends to be conservative. While this approach has been valuable for many years, it may not fully capture the complexities of actual line operating conditions, such as the effect of changing environmental parameters and ambient conditions. This paper proposes a sensorless Line Rating Assessment (LRA) approach to estimate the ampacity of transmission OHL. It employs the IEEE 738 standard and the weather parameters data derived from two distinct numerical weather models, the Weather Research and Forecasting (WRF) model and the Weather Research and Forecasting Chemistry (WRF-Chem) model. The model estimations are compared with weather data collected by weather mast measurements, serving as a reference to validate the numerical weather models. The proposed strategy is applied to a section of 132kV OHL in the Dubai region. Initial investigations include sensitivity analyses to explore the impact of varying weather parameters on the line ampacity ratings. Thereafter, three performance indices are utilised to evaluate the performance of the proposed approach for ampacity estimation. The results indicate that WRF-Chem surpasses WRF by delivering estimates with greater ampacity headroom in winter and ensuring safer ratings in the summer.

定义架空线路 (OHL) 额定线路安培容量的传统方法是静态的,往往比较保守。虽然这种方法多年来一直很有价值,但它可能无法完全反映实际线路运行条件的复杂性,例如不断变化的环境参数和环境条件的影响。本文提出了一种无传感器线路额定值评估 (LRA) 方法,用于估算输电 OHL 的电容量。该方法采用了 IEEE 738 标准和两个不同的数值天气模型(天气研究与预测模型(WRF)和天气研究与预测化学模型(WRF-Chem))得出的天气参数数据。模型估计值与气象桅杆测量收集的气象数据进行了比较,作为验证数值天气模型的参考。建议的策略适用于迪拜地区的一段 132 千伏 OHL。初步调查包括敏感性分析,以探索不同天气参数对线路额定容量的影响。之后,利用三个性能指标来评估所提出的安培估算方法的性能。结果表明,WRF-Chem 超越了 WRF,在冬季提供的估算值具有更大的容量余量,并能确保在夏季获得更安全的额定值。
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引用次数: 0
A Stackelberg game theory-based optimal scheduling of active distribution system considering multi-stakeholders 基于斯塔克尔伯格博弈论的主动配电系统优化调度(考虑多方利益相关者
IF 3.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-06 DOI: 10.1016/j.epsr.2024.111024

This study addresses the limited research on energy storage operators as independent stakeholders in active distribution network scheduling involving multiple stakeholders. The study proposes a multi-agent Stackelberg Game Model where distribution network operators act as leaders, and energy storage operators and power users act as followers. A Bi-Level programming model is employed to solve the multi-agent game, and equilibrium strategies of each stakeholder are analyzed. Distribution network operators aims to maximize operational efficiency by formulating time-of-use price strategies, while energy storage operators and power users adjust their charging, discharging, and consumption strategies to maximize profits and minimize electricity costs. It emphasizes the importance of considering user satisfaction alongside economic costs when examining their electricity consumption. Simulation scenarios demonstrate that the proposed model enhances stakeholder benefits and societal welfare. Energy storage operators increase the depth of its own charging and discharging strategies in pursuit of maximizing benefits, resulting in a lower peak-valley transfer rate on load. Considering the interests of all stakeholders, the benefits of energy storage operators and power users are increased by 29.58 % and 20.07 % respectively, and the benefits of distribution grid companies are reduced by 18.97 %, but the total social profit is increased by 26.11 % while the cost of user satisfaction reduced by 43.78 %.© 2017 Elsevier Inc. All rights reserved.

在涉及多个利益相关者的主动配电网络调度中,储能运营商作为独立利益相关者的研究十分有限。研究提出了一个多代理斯塔克尔伯格博弈模型,其中配电网运营商充当领导者,储能运营商和电力用户充当追随者。采用双层编程模型求解多代理博弈,并分析了各利益相关者的均衡策略。配电网运营商通过制定分时电价策略来实现运营效率最大化,而储能运营商和电力用户则通过调整充电、放电和消费策略来实现利润最大化和电力成本最小化。它强调了在研究用户用电量时,在考虑经济成本的同时考虑用户满意度的重要性。模拟场景表明,所提出的模型提高了利益相关者的利益和社会福利。储能运营商为了追求利益最大化,增加了自身充放电策略的深度,从而降低了负载的峰谷转移率。考虑到所有利益相关者的利益,储能运营商和电力用户的收益分别增加了 29.58 % 和 20.07 %,配电网公司的收益减少了 18.97 %,但社会总利润增加了 26.11 %,用户满意度成本降低了 43.78 %。保留所有权利。
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引用次数: 0
An emergency frequency control method based on efficient coordination between generator tripping and power regulation for wind power integrated system 基于发电机跳闸与功率调节高效协调的风电集成系统紧急频率控制方法
IF 3.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-05 DOI: 10.1016/j.epsr.2024.111045

Wind generators with integrated inertia control can autonomously regulate active power in response to frequency variations within the power system. Generator tripping is often necessary to address frequency increases during significant grid disturbances. This tripping alters the adjusLEle power range of the wind generator and frequency characteristics of the power system, impacting power regulation capacity and modifying the required generator tripping power (GTP). Precise frequency control in wind power integrated systems is challenging due to the inability to accurately quantify frequency security conditions. To address this, the synthetic power regulating speed (SPRS) is deduced to characterize regulation capability. The ranges of required GTP and SPRS are modeled under constraints including maximum frequency deviation, rate of frequency change, and the frequency regulating capacity of wind farms. A novel concept of the frequency dynamic security domain is introduced, accounting for the interplay among generator tripping, power regulation, and frequency characteristics. This approach includes identifying generator tripping locations and determining the required GTP by establishing the frequency dynamic security domain. Additionally, an emergency frequency control method that coordinates generator tripping and power regulation is proposed. Simulations show that this method minimizes generator tripping while avoiding frequency threshold exceedance, thus preserving power regulation capability.

集成惯性控制功能的风力发电机可根据电力系统内的频率变化自主调节有功功率。在电网受到严重干扰时,往往需要发电机跳闸来应对频率上升。这种跳闸会改变风力发电机的可调功率范围和电力系统的频率特性,影响功率调节能力并改变所需的发电机跳闸功率 (GTP)。由于无法精确量化频率安全条件,风电集成系统中的精确频率控制具有挑战性。为此,我们推导出合成功率调节速度 (SPRS),以描述调节能力。在最大频率偏差、频率变化率和风电场频率调节能力等约束条件下,对所需的 GTP 和 SPRS 范围进行建模。引入了频率动态安全域的新概念,考虑了发电机跳闸、功率调节和频率特性之间的相互作用。这种方法包括确定发电机跳闸位置,并通过建立频率动态安全域来确定所需的 GTP。此外,还提出了一种协调发电机跳闸和功率调节的紧急频率控制方法。模拟结果表明,这种方法能最大限度地减少发电机跳闸,同时避免频率阈值超标,从而保持功率调节能力。
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引用次数: 0
Hybridization of planning and operational techniques for resiliency improvement of electrical distribution networks against multi-scenario natural disasters based on a convex model 基于凸模型的规划与运营技术混合应用,提高配电网抵御多场景自然灾害的能力
IF 3.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-05 DOI: 10.1016/j.epsr.2024.111043

Due to increasing the intensity and frequency of natural catastrophes, sustainable supplying of consumers is one of the main challenges of electrical distribution companies against these high-impact and low-probability (HILP) events. Recently, researches are directed to solve the mentioned challenge by various methods including optimal distributed generation and energy storage placement, micro-grid formation, structural reinforcement and etc. In addition, the uncertainty nature of the disasters, loads and renewable generations has influenced these studies. Despite the availability of different solutions considering all resilient-oriented methods and uncertain parameters, applying a proper model as long as simplifying the equations, which satisfies all the needs, are still the outstanding aspects that must be studied. This paper applies and proposes convex equations in all parts, including both operational and planning perspectives as an innovation. Mixed-integer quadratically-constrained programming (MIQCP) is adapted for formulating the problem. The proposed model is developed under GAMS environment, and its performance is evaluated by the IEEE 33-node test system under various severe fault scenarios. Comparing the results reveals that the hybridization technique against only planning technique leads to a decrease of 46.15 % and 42.45 % in load shedding and investment costs respectively. Also, it causes a decrease of 40.63 % and 25.32 % in load shedding and investment costs respectively compared to only operational techniques causes.

由于自然灾害的强度和频率不断增加,可持续地向用户供电成为配电公司应对这些高影响、低概率(HILP)事件的主要挑战之一。近年来,研究人员致力于通过各种方法解决上述挑战,包括优化分布式发电和储能布局、微电网形成、结构加固等。此外,灾害、负荷和可再生能源发电的不确定性也对这些研究产生了影响。尽管考虑到所有以抗灾为导向的方法和不确定参数,已有不同的解决方案,但应用适当的模型以及简化方程以满足所有需求,仍是必须研究的突出问题。本文从运行和规划两个角度对凸方程进行了全面应用和创新。混合整数二次约束程序设计(MIQCP)被用于问题的表述。提出的模型是在 GAMS 环境下开发的,并通过 IEEE 33 节点测试系统在各种严重故障情况下对其性能进行了评估。比较结果表明,与单纯的规划技术相比,混合技术使甩负荷成本和投资成本分别降低了 46.15% 和 42.45%。此外,与单纯的运行技术相比,混合技术还能使负载损耗和投资成本分别降低 40.63 % 和 25.32 %。
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引用次数: 0
Derivation of aggregated equivalent models for the steady-state analysis of active distribution networks operated under voltage control schemes 推导用于电压控制方案下运行的主动配电网络稳态分析的集合等效模型
IF 3.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-05 DOI: 10.1016/j.epsr.2024.111023

To facilitate the coordination between transmission and distribution system operators, accurate equivalent models of power system components are required. Towards this objective, in this paper, a black-box model is proposed for developing steady-state reduced-order equivalents of active distribution networks (ADNs) that host converter-interfaced renewable energy sources (CI-RES) and operate under various voltage control schemes. Droop-based and traditional voltage control schemes, such as on-load tap changer (OLTC) control strategies and the use of shunt capacitors, are considered. The performance of the proposed model is evaluated via simulations considering various load types and CI-RES penetration levels. Comparisons against the conventional polynomial and exponential models are also conducted, demonstrating the superior performance of the proposed black-box model.

为促进输电和配电系统运营商之间的协调,需要精确的电力系统组件等效模型。为实现这一目标,本文提出了一个黑盒模型,用于开发主动配电网(ADNs)的稳态降阶等效模型,该配电网可承载变流器内置可再生能源(CI-RES),并在各种电压控制方案下运行。考虑了基于降序的电压控制方案和传统的电压控制方案,例如有载分接开关 (OLTC) 控制策略和并联电容器的使用。考虑到各种负载类型和 CI-RES 渗透水平,通过模拟对所提出模型的性能进行了评估。此外,还与传统的多项式和指数模型进行了比较,证明了所提出的黑盒模型的卓越性能。
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引用次数: 0
Enhancing energy quality and grid stability with improved adaptive controller for renewable energy conversion systems under weak grid conditions 利用改进型自适应控制器提高弱电网条件下可再生能源转换系统的能源质量和电网稳定性
IF 3.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-05 DOI: 10.1016/j.epsr.2024.111041

This work presents a systematic procedure for the parameterization of a robust adaptive proportional-integral controller applied to a grid-tied inverter with an LCL filter. The controller parameterization uses the Tasmanian devil optimizer, driven by performance indexes and controller stability constraints in the formulation of the optimization problem. Simulation results considering the renewable energy conversion system subject to periodic exogenous disturbances, grid impedance variations, and system uncertainties representing critical situations of real systems are presented. The optimized controller allows current tracking in less than one grid cycle (around 9 ms) during the initial transient regime, and when the grid inductance changes around 4.33 times the nominal value (from 0.3 mH to 1.3 mH), the transient regime ends in 11 ms without significant overshoot. Two extreme scenarios were also considered: when the grid inductance increases 17.66 times (from 0.3 mH to 5.3 mH) and 34.33 times (from 0.3 mH to 10.3 mH). The duration of transient regimes was again less than one grid cycle. Moreover, there are no significant tracking errors in the transient regimes associated with current reference changes, and the tracking error tends to a residual value in steady state in all scenarios, with values on the order of 10−6.

本研究提出了一种系统化程序,用于对带有 LCL 滤波器的并网逆变器进行鲁棒自适应比例积分控制器的参数化。控制器参数化采用塔斯马尼亚魔鬼优化器,优化问题的表述由性能指标和控制器稳定性约束驱动。仿真结果表明,可再生能源转换系统受到周期性外生干扰、电网阻抗变化和系统不确定性的影响,代表了真实系统的关键情况。优化后的控制器可在初始瞬态系统中实现不到一个电网周期(约 9 毫秒)的电流跟踪,当电网电感变化约为额定值的 4.33 倍(从 0.3 mH 到 1.3 mH)时,瞬态系统在 11 毫秒内结束,不会出现明显的过冲。还考虑了两种极端情况:电网电感增加 17.66 倍(从 0.3 mH 到 5.3 mH)和 34.33 倍(从 0.3 mH 到 10.3 mH)。瞬态持续时间同样小于一个电网周期。此外,在与电流参考变化相关的暂态过程中没有明显的跟踪误差,在所有情况下,跟踪误差都趋于稳定状态下的剩余值,其值约为 10-6。
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引用次数: 0
Transient stability quantification of power systems with inverter-based resources via Koopman operator based machine learning approach 通过基于 Koopman 算子的机器学习方法量化基于逆变器资源的电力系统的暂态稳定性
IF 3.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-05 DOI: 10.1016/j.epsr.2024.111035

Increased integration of inverter-based resources alters the response of large-scale power systems to contingency events. The resulting loss of control actuation and rotating inertia causes the system operating point to move substantially in a short period of time following severe disturbances. To ensure system reliability, it is essential to develop efficient global stability assessment tools. Toward this end, Lyapunov’s direct method has received considerable attention due to their rigorous mathematical foundation and fast stability screening. However, most existing approaches in this category are limited in application and cannot readily be extended to practical large-scale power systems. In this work, we propose a data-driven method based on Koopman operator theory for constructing a Lyapunov function and estimating the corresponding region of attraction (ROA). To achieve this, we employ a coordinate transformation enabled by deep neural networks. This approach addresses persistent challenges of existing direct methods in finding proper Lyapunov functions for contemporary power systems. Once the ROA is estimated, the resulting method can rapidly screen the stability of an arbitrary initial operating point without simulating the state trajectory. A numerical case study is presented using a reduced-order model of the North American Western Interconnection with battery energy storage.

逆变器资源集成度的提高改变了大型电力系统对突发事件的响应。由此造成的控制执行和旋转惯性的损失会导致系统运行点在严重扰动后的短时间内大幅移动。为确保系统可靠性,必须开发高效的全局稳定性评估工具。为此,Lyapunov 直接法因其严谨的数学基础和快速的稳定性筛选而备受关注。然而,现有的此类方法大多应用有限,无法随时扩展到实际的大规模电力系统。在这项工作中,我们提出了一种基于 Koopman 算子理论的数据驱动方法,用于构建 Lyapunov 函数并估算相应的吸引区域 (ROA)。为此,我们利用深度神经网络实现了坐标转换。这种方法解决了现有直接方法在为当代电力系统寻找合适的 Lyapunov 函数时所面临的长期挑战。一旦估算出 ROA,由此产生的方法就能快速筛选任意初始运行点的稳定性,而无需模拟状态轨迹。本文介绍了一项数值案例研究,该研究使用了一个带电池储能的北美西部互联的降阶模型。
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引用次数: 0
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Electric Power Systems Research
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