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Lagrangian Modelling and Motion Stability of Synchronous Generator-based Power Systems 基于同步发电机的电力系统拉格朗日建模与运动稳定性
IF 6.9 2区 工程技术 Q2 ENERGY & FUELS Pub Date : 2025-01-10 DOI: 10.17775/CSEEJPES.2024.00780
Feng Ji;Lu Gao;Chang Lin
This paper proposes to analyze the motion stability of synchronous generator-based power systems using a Lagrangian model derived in the configuration space of generalized position and speed. A Lagrangian model of synchronous generators is derived based on Lagrangian mechanics. The generalized potential energy of inductors and the generalized kinetic energy of capacitors are defined. The mechanical and electrical dynamics can be modelled in a unified manner by constructing a Lagrangian function. Taking the first benchmark model of sub-synchronous oscillation as an example, a Lagragian model is constructed, and a numerical solution of the model is obtained to validate the accuracy and effectiveness of the model. Compared with the traditional EMTP model in PSCAD, the obtained Lagrangian model is able to accurately describe the electromagnetic transient process of the system. Moreover, the Lagrangian model is analytical, which enables the analysis of the motion stability of the system using Lyapunov's motion stability theory. The Lagrangian model can not only be used for discussing the power angle stability but also for analyzing the stability of node voltages and system frequency. It provides the feasibility for studying the unified stability of power systems.
本文提出了在广义位置和速度组态空间中导出的拉格朗日模型来分析同步发电机电力系统的运动稳定性。基于拉格朗日力学推导了同步发电机的拉格朗日模型。定义了电感器的广义势能和电容器的广义动能。力学和电动力学可以通过构造拉格朗日函数统一地建模。以次同步振荡的第一个基准模型为例,建立了Lagragian模型,并得到了该模型的数值解,验证了模型的准确性和有效性。与PSCAD中传统的EMTP模型相比,所得到的拉格朗日模型能够准确地描述系统的电磁瞬变过程。此外,拉格朗日模型是解析的,可以使用李亚普诺夫的运动稳定性理论来分析系统的运动稳定性。拉格朗日模型不仅可以用于讨论功率角的稳定性,还可以用于分析节点电压和系统频率的稳定性。为研究电力系统的统一稳定性提供了可行性。
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引用次数: 0
Optimized Temporary Frequency Support for Wind Power Plants Considering Expanded Operational Region of Wind Turbines 考虑风电机组运行区域扩大的风电场临时频率支持优化
IF 6.9 2区 工程技术 Q2 ENERGY & FUELS Pub Date : 2025-01-10 DOI: 10.17775/CSEEJPES.2024.01340
Zhengyang Hu;Bingtuan Gao;Zhao Xu;Sufan Jiang
Wind power plants (WPPs) are increasingly mandated to provide temporary frequency support to power systems during contingencies involving significant power shortages. However, the frequency support capabilities of WPPs under derated operations remain insufficiently investigated, highlighting the potential for further improvement of the frequency nadir. This paper proposes a bi-level optimized temporary frequency support (OTFS) strategy for a WPP. The implementation of the OTFS strategy is collaboratively accomplished by individual wind turbine (WT) controllers and the central WPP controller. First, to exploit the frequency support capability of WTs, the stable operational region of WTs is expanded by developing a novel dynamic power control approach in WT controllers. This approach synergizes the WTs' temporary frequency support with the secondary frequency control of synchronous generators, enabling WTs to release more kinetic energy without causing a secondary frequency drop. Second, a model predictive control strategy is developed for the WPP controller. This strategy ensures that multiple WTs operating within the expanded stable region are coordinated to minimize the magnitude of the frequency drop through efficient kinetic energy utilization. Finally, comprehensive case studies are conducted on a real-time simulation platform to validate the effectiveness of the proposed strategy.
风力发电厂(WPPs)越来越多地被授权在涉及重大电力短缺的突发事件期间为电力系统提供临时频率支持。然而,水电厂在降额作业下的频率支持能力仍然没有得到充分的调查,这突出了进一步改善频率最低点的潜力。提出了一种WPP双级优化临时频率支持(OTFS)策略。OTFS策略的实现由单个风力机控制器和中央WPP控制器协同完成。首先,利用小波变换的频率支持能力,在小波变换控制器中开发了一种新的动态功率控制方法,扩大了小波变换的稳定工作区域。这种方法将wt的临时频率支持与同步发电机的二次频率控制协同起来,使wt能够释放更多的动能,而不会导致二次频率下降。其次,提出了WPP控制器的模型预测控制策略。该策略确保了在扩展稳定区域内运行的多个WTs协调一致,通过有效的动能利用来最小化频率下降的幅度。最后,在实时仿真平台上进行了全面的案例研究,验证了所提策略的有效性。
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引用次数: 0
Comprehensive Assessment of Transient Stability for Grid-Forming Converters Considering Current Limitations, Inertia and Damping Effects 考虑电流限制、惯性和阻尼效应的成网变流器暂态稳定性综合评估
IF 6.9 2区 工程技术 Q2 ENERGY & FUELS Pub Date : 2025-01-10 DOI: 10.17775/CSEEJPES.2024.03160
Jinlei Chen;Qingyuan Gong;Yawen Zhang;Muhammad Fawad;Sheng Wang;Chuanyue Li;Jun Liang
This paper presents a quantitative assessment of the transient stability of grid-forming converters, considering current limitations, inertia, and damping effects. The contributions are summarized in two main aspects: First, the analysis delves into transient stability under a general voltage sag scenario for a converter subject to current limitations. When the voltage sag exceeds a critical threshold, transient instability arises, with its severity influenced by the inertia and damping coefficients within the swing equation. Second, a comprehensive evaluation of these inertia and damping effects is conducted using a model-based phase-portrait approach. This method allows for an accurate assessment of critical clearing time (CCT) and critical clearing angle (CCA) across varying inertia and damping coefficients. Leveraging data obtained from the phase portrait, an artificial neural network (ANN) method is presented to model CCT and CCA accurately. This precise estimation of CCT enables the extension of practical operation time under faults compared to conservative assessments based on equal-area criteria (EAC), thereby fully exploiting the system's low-voltage-ride-through (LVRT) and fault-ride-through (FRT) capabilities. The theoretical transient analysis and estimation method proposed in this paper are validated through PSCAD/EMTDC simulations.
本文在考虑电流限制、惯性和阻尼效应的情况下,对并网变流器的暂态稳定性进行了定量评估。这些贡献总结在两个主要方面:首先,分析深入研究了受电流限制的变流器在一般电压暂降情况下的暂态稳定性。当电压暂降超过临界阈值时,会产生暂态失稳,其严重程度受摆动方程中的惯性系数和阻尼系数的影响。其次,使用基于模型的相位画像方法对这些惯性和阻尼效应进行了综合评估。该方法允许在不同惯性和阻尼系数下准确评估临界清除时间(CCT)和临界清除角(CCA)。利用从相位画像中获得的数据,提出了一种人工神经网络(ANN)方法来准确地建模CCT和CCA。与基于等面积标准(EAC)的保守评估相比,这种对CCT的精确估计可以延长故障下的实际运行时间,从而充分利用系统的低压穿越(LVRT)和故障穿越(FRT)能力。通过PSCAD/EMTDC仿真验证了本文提出的理论暂态分析和估计方法。
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引用次数: 0
High-Quality Sample Generation for Power System Transient Stability Assessment Based on Data-Driven Methods 基于数据驱动方法的电力系统暂态稳定评估高质量样本生成
IF 5.9 2区 工程技术 Q2 ENERGY & FUELS Pub Date : 2025-01-10 DOI: 10.17775/CSEEJPES.2023.07070
Baoqin Li;Pengfei Fan;Qixin Chen;Rong Li;Kaijun Lin
Deep learning technology is identified as a valid tool for transient stability assessment (TSA). Moreover, the superior performance of the TSA model depends on generously labeled samples. However, the power grid is dynamic, and some topologies or operation conditions change substantially. The traditional method generates a significant quantity of samples for each specific topology. Nonetheless, generating these labeled samples and establishing TSA models is very time-consuming. This paper proposes a high-quality sample generation framework based on data-driven methods to build a high-quality offline samples database for TSA model training and updating. Firstly, the representative topologies provided by the system operator are clustered into four different categories by density-based spatial clustering of applications with noise (DBSCAN). Thus the corresponding samples are collected. Then, when a new topology is encountered in the online application, scenario matching is used to match the most similar topology category. After that, instance-based transfer learning is implemented from a database of the best-matched topology category. Finally, a deep convolutional generative adversarial network (DCGAN) is constructed to mitigate the class imbalance problem. That is, unstable scenarios occur far more rarely than stable scenarios. Consequently, a high-quality and balanced TSA model training and updating database is constructed. The comprehensive test results on the Central China Power Grid illustrate that the proposed framework can generate high-quality and balanced TSA samples. Furthermore, the sample generation time is dramatically shortened. In addition, the metrics of accuracy, reliability and adaptability of the TSA model are significantly enhanced.
深度学习技术被认为是暂态稳定评估(TSA)的有效工具。此外,TSA模型的优越性能取决于慷慨标记的样品。然而,电网是动态的,一些拓扑结构或运行条件会发生很大的变化。传统的方法为每个特定的拓扑生成大量的样本。然而,生成这些标记样本并建立TSA模型是非常耗时的。本文提出了一种基于数据驱动方法的高质量样本生成框架,为TSA模型的训练和更新构建高质量的离线样本数据库。首先,采用基于密度的带噪声应用空间聚类(DBSCAN)方法,将系统算子提供的代表性拓扑聚类为4个不同的类别。这样就收集到了相应的样品。然后,当在线应用中遇到新的拓扑时,使用场景匹配,匹配最相似的拓扑类别。然后,从最匹配拓扑类别的数据库中实现基于实例的迁移学习。最后,构建了深度卷积生成对抗网络(DCGAN)来缓解类不平衡问题。也就是说,不稳定的情况比稳定的情况发生得少得多。从而构建了一个高质量、均衡的TSA模型训练与更新数据库。在华中电网上的综合测试结果表明,该框架能够生成高质量、均衡的TSA样本。此外,大大缩短了样本生成时间。此外,TSA模型的准确性、可靠性和适应性指标都得到了显著提高。
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引用次数: 0
Optimal Power Flow Based on Branch Flow Model for Bipolar DC Distribution Networks 基于双极直流配电网分支流模型的最佳功率流
IF 6.9 2区 工程技术 Q2 ENERGY & FUELS Pub Date : 2024-11-11 DOI: 10.17775/CSEEJPES.2023.08530
Yiyao Zhou;Qianggang Wang;Xiaolong Xu;Tao Huang;Jianquan Liao;Yuan Chi;Xuefei Zhang;Niancheng Zhou
Optimal Power Flow (OPF) plays a crucial role in optimization and operation of the bipolar DC distribution network (Bi-DCDN). However, existing OPF models encounter difficulties in the power optimization of Bi-DCDNs due to the optimal power expressed as a product form, i.e., the product of voltage and current. Hence, this brief formulates the OPF problem of Bi-DCDNs using the branch flow model (BFM). The BFM employs power, instead of current, to account for the unique structure of Bi-DCDNs. Convex relaxation and linear approximation are sequentially applied to reformulate the BFM-based OPF, presenting it as a second-order cone programming (SOCP) problem. Further, the effectiveness of the proposed OPF model is verified in case studies. The numerical results demonstrate that the BFM-based OPF is a feasible and promising approach for Bi-DCDNs.
最优潮流(OPF)在双极直流配电网(Bi-DCDN)优化和运行中起着至关重要的作用。然而,现有的OPF模型在bi - dcdn的功率优化中遇到了困难,因为最优功率以产品形式表示,即电压与电流的乘积。因此,本文简要地利用分支流模型(BFM)阐述了bi - dcdn的OPF问题。BFM使用功率而不是电流来解释bi - dcdn的独特结构。采用凸松弛法和线性逼近法对基于bfm的OPF进行重新表述,将其表现为二阶锥规划问题。通过实例验证了所提出的OPF模型的有效性。数值结果表明,基于bfm的OPF是一种可行且有前景的双dcdn方法。
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引用次数: 0
Multiple Renewable Short-Circuit Ratio for Assessing Weak System Strength with Inverter-Based Resources 基于逆变器资源的多可再生短路比弱系统强度评估
IF 6.9 2区 工程技术 Q2 ENERGY & FUELS Pub Date : 2024-11-11 DOI: 10.17775/CSEEJPES.2023.10060
Lin Yu;Shiyun Xu;Huadong Sun;Bing Zhao;Guanglu Wu;Xiaoxin Zhou
Inverter-based resources (IBRs), such as wind and photovoltaic generation, are characterized by low capacity and extensive distribution, which can exacerbate the weak properties of power systems. Precise identification of weak system status is essential for ensuring the security and economic efficiency of IBR integration. This paper proposes the index of the multiple renewable short-circuit ratio (MRSCR) and its critical value calculated by the voltage (CMRSCR) to provide a comprehensive assessment of power system strength in the presence of high IBR penetration, enhancing the accuracy and reliability of system strength evaluation. First, we introduce a single-infeed equivalent model of the power system integrating multiple IBRs. We examine the factors associated with system properties that are crucial in the strength assessment process. Subsequently, the MRSCR is derived from this analysis. The MRSCR describes the connection between system strength and voltage variation caused by power fluctuations. This implies that voltage variation caused by IBR power fluctuations is more pronounced under weak grid conditions. Following this, the CMRSCR is proposed to precisely evaluate the stability boundary. The disparity between MRSCR and CMRSCR is utilized to evaluate the stability margin of the power system. Unlike a fixed value, the CMRSCR exhibits higher sensitivity as the system approaches a critical state. These indexes have been implemented in the PSD power tools and power system analysis software package, facilitating engineering calculation and analysis of bulk power systems in China. Finally, simulation results validate the effectiveness of the proposed indexes and the research findings.
基于逆变器的资源(IBRs),如风能和光伏发电,具有容量小、分布广的特点,会加剧电力系统的弱特性。系统弱状态的准确识别对于保证IBR集成的安全性和经济性至关重要。本文提出了由电压计算的多重可再生短路比(MRSCR)及其临界值指标(CMRSCR),以提供高IBR渗透情况下电力系统强度的综合评估,提高了系统强度评估的准确性和可靠性。首先,我们介绍了集成多个ibr的电力系统的单进给等效模型。我们研究了与系统特性相关的因素,这些因素在强度评估过程中至关重要。随后,MRSCR从这一分析中得到。MRSCR描述了系统强度与由功率波动引起的电压变化之间的关系。这意味着在弱电网条件下,IBR功率波动引起的电压变化更为明显。在此基础上,提出了基于CMRSCR的稳定边界精确评价方法。利用MRSCR与CMRSCR的差值来评估电力系统的稳定裕度。与固定值不同,当系统接近临界状态时,CMRSCR表现出更高的灵敏度。这些指标已在PSD电动工具和电力系统分析软件包中实现,方便了中国大容量电力系统的工程计算和分析。最后,仿真结果验证了所提指标和研究成果的有效性。
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引用次数: 0
Sub/Super-Synchronous Oscillation Detection Based on Matching Synchroextracting Wavelet Transform 基于匹配同步提取小波变换的次/超同步振荡检测
IF 6.9 2区 工程技术 Q2 ENERGY & FUELS Pub Date : 2024-11-11 DOI: 10.17775/CSEEJPES.2023.01310
Tianyao Ji;Shiyu Wang;Luliang Zhang;Q. H. Wu
When disturbed, the interaction between power grid and wind farm may cause serious sub/super-synchronous oscillation (SSO), affecting the security and stability of the system. It is therefore important to detect the time-varying amplitude and frequency of SSO to provide information for its control. The matching synchroextracting wavelet transform (MSEWT) is a new method proposed in this paper to serve this purpose. Based on the original synchrosqueezing wavelet transform, MSEWT uses a synchronous extraction operator to calculate the time-frequency coefficients and a chirp-rate estimation to modify the instantaneous frequency estimation. Thus, MSEWT can improve the concentration degree and reconstruction accuracy of the signal's time-frequency representation without iterative calculation, and can achieve superior noise robustness. After the time-frequency analysis and modal decomposition of the SSO by MSEWT, the amplitudes and frequencies of each oscillation component can be obtained by Hilbert transform (HT). The simulation studies demonstrate that the proposed scheme can accurately identify the modal parameters of SSO even in the case of noise interference, providing a reliable reference for stable operation of power system time-frequency.
当受到干扰时,电网和风电场之间的相互作用可能会导致严重的亚同步/超同步振荡(SSO),影响系统的安全性和稳定性。因此,检测次/超同步振荡的时变振幅和频率,为其控制提供信息非常重要。匹配同步提取小波变换(MSEWT)是本文提出的一种新方法。MSEWT 在原始同步提取小波变换的基础上,使用同步提取算子计算时频系数,并使用啁啾率估计修改瞬时频率估计。因此,MSEWT 无需迭代计算即可提高信号时频表示的集中度和重构精度,并能实现出色的噪声鲁棒性。利用 MSEWT 对 SSO 进行时频分析和模态分解后,可通过希尔伯特变换(HT)获得各振荡分量的振幅和频率。仿真研究表明,即使在噪声干扰的情况下,所提出的方案也能准确识别 SSO 的模态参数,为电力系统时频的稳定运行提供可靠的参考。
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引用次数: 0
SOH Prediction of Li-ion Batteries for Second-Life Applications in Renewable Energy Systems 可再生能源系统中二次使用锂离子电池的SOH预测
IF 5.9 2区 工程技术 Q2 ENERGY & FUELS Pub Date : 2024-11-11 DOI: 10.17775/CSEEJPES.2024.02890
Qingsong Wang;Annuo Yu;Hao Ding;Ming Cheng;Giuseppe Buja
The rapid growth of renewable energy sources, such as wind and solar power, together with global carbon neutrality targets, is driving the transformation of the energy system. To mitigate the intermittency inherent in renewable energy, the integration of energy storage systems has become imperative. In China, the expansion of electric vehicles (EVs) has positioned them as mobile energy storage units, with the stock of new energy vehicles (NEVs) reaching 31.4 million by 2024. While retired EV batteries retain 70% to 80% of their original capacity, they are suitable for second-life applications, such as grid peak shaving and distributed storage, offering both environmental and economic benefits. However, safety concerns persist, requiring accurate predictions of state of health (SOH) for safe operation and optimal utilization of these batteries. To address this challenge, this paper proposes an improved Transformer model, where discrete wavelet transform (DWT) is first employed to deal with the inherent noise during charge/discharge cycles. The serial Convolutional Neural Network (CNN) structure is utilized to mine local health factors and position information based on residual connections encoded into the Transformer network. The trend fusion module is added to improve the network integration capability. Evaluations using both public center for advanced life cycle engineering (CALCE) and experimental lifetime battery datasets B_X demonstrate the superiority and effectiveness of the DWT-CNN-Transformer model. It showcases faster convergence speed and higher optimization accuracy compared with other baseline approaches, significantly bolstering the precision and robustness of SOH predictions.
风能和太阳能等可再生能源的快速增长,加上全球碳中和目标,正在推动能源系统的转型。为了缓解可再生能源固有的间歇性,储能系统的集成已经变得势在必行。在中国,电动汽车(ev)的扩张将其定位为移动储能单元,到2024年新能源汽车(nev)的库存将达到3140万辆。虽然退役的电动汽车电池保留了其原始容量的70%至80%,但它们适用于二次使用,例如电网调峰和分布式存储,具有环境和经济效益。然而,安全问题仍然存在,需要准确预测健康状态(SOH),以确保这些电池的安全运行和最佳利用。为了解决这一挑战,本文提出了一种改进的Transformer模型,其中首先使用离散小波变换(DWT)来处理充放电周期中的固有噪声。利用串行卷积神经网络(CNN)结构,基于编码到变压器网络中的残差连接,挖掘局部健康因素和位置信息。增加趋势融合模块,增强网络融合能力。利用CALCE公共生命周期工程中心(CALCE)和实验寿命电池数据集B_X进行的评估证明了DWT-CNN-Transformer模型的优越性和有效性。与其他基线方法相比,该方法具有更快的收敛速度和更高的优化精度,显著提高了SOH预测的精度和鲁棒性。
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引用次数: 0
Two-Stage Multi-Objective Optimization and Decision-Making Method for Integrated Energy System Under Wind Generation Disturbances 风力发电扰动下综合能源系统两阶段多目标优化与决策方法
IF 6.9 2区 工程技术 Q2 ENERGY & FUELS Pub Date : 2024-09-19 DOI: 10.17775/CSEEJPES.2023.07130
Bin Deng;Xiaosheng Xu;Mengshi Li;Tianyao Ji;Q. H. Wu
Although integrated energy systems (IES) are currently modest in size, their scheduling faces strong challenges, stemming from both wind generation disturbances and the system's complexity, including intrinsic heterogeneity and pronounced non-linearity. For this reason, a two-stage algorithm called the Multi-Objective Group Search Optimizer with Pre-Exploration (MOGSOPE) is proposed to efficiently achieve the optimal solution under wind generation disturbances. The optimizer has an embedded trainable surrogate model, Deep Neural Networks (DNNs), to explore the common features of the multi-scenario search space in advance, guiding the population toward a more efficient search in each scenario. Furthermore, a multi-scenario Multi-Attribute Decision Making (MADM) approach is proposed to make the final decision from all alternatives in different wind scenarios. It reflects not only the decision-maker's (DM) interests in other indicators of IES but also their risk preference for wind generation disturbances. A case study conducted in Barry Island shows the superior convergence and diversity of MOGSOPE in comparison to other optimization algorithms. With respect to numerical performance metrics HV, IGD, and SI, the proposed optimizer exhibits improvements of 3.1036%, 4.8740%, and 4.2443% over MOGSO, and 4.2435%, 6.2479%, and 52.9230% over NSGAII, respectively. What's more, the effectiveness of the multi-scenario MADM in making final decisions under uncertainty is demonstrated, particularly in optimal scheduling of IES under wind generation disturbances.
虽然综合能源系统(IES)目前的规模不大,但由于风力发电的干扰和系统的复杂性,包括内在的异质性和明显的非线性,它们的调度面临着巨大的挑战。为此,提出了一种两阶段的多目标群搜索优化器预探索算法(multiobjective Group Search Optimizer with Pre-Exploration, MOGSOPE),以有效地实现风力发电扰动下的最优解。优化器具有嵌入式可训练代理模型深度神经网络(Deep Neural Networks, dnn),可以提前探索多场景搜索空间的共同特征,引导人群在每个场景中进行更有效的搜索。在此基础上,提出了一种多场景多属性决策(MADM)方法,对不同风场下的所有备选方案进行最终决策。它不仅反映了决策者对IES其他指标的兴趣,也反映了决策者对风力发电扰动的风险偏好。在巴里岛进行的实例研究表明,与其他优化算法相比,MOGSOPE具有更好的收敛性和多样性。在数值性能指标HV、IGD和SI方面,该优化器比MOGSO分别提高了3.1036%、4.8740%和4.2443%,比NSGAII分别提高了4.2435%、6.2479%和52.9230%。此外,还验证了多场景MADM在不确定条件下做出最终决策的有效性,特别是在风力发电干扰下IES最优调度的有效性。
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引用次数: 0
Partially Affine Policy for Multistage Robust Unit Commitment with Fast-Ramping Units 具有快速爬坡单元的多阶段鲁棒单元承诺的部分仿射策略
IF 6.9 2区 工程技术 Q2 ENERGY & FUELS Pub Date : 2024-09-19 DOI: 10.17775/CSEEJPES.2023.08300
Zhongjie Guo;Jiayu Bai;Wei Wei;Shengwei Mei;Weihao Hu
Multistage robust unit commitment (MRUC) is an important decision-making problem in power system operations. The affine policy facilitates problem-solving, but it compromises flexibility. This letter proposes a partially affine policy for MRU C problem with fast-ramping units; this policy imposes affine relations to coupling variables only and leaves the remaining variables to be optimized in the real-time dispatch. As a result, the real-time flexibility of fast-ramping units is retained. By adopting this approach, MRU C with a partially affine policy becomes a special two-stage adaptive robust optimization problem. Numerical tests verify that the proposed partially affine policy significantly reduces the conservativeness compared with affine policy, improving the dispatch economy and flexibility.
多阶段鲁棒机组承诺是电力系统运行中的重要决策问题。仿射策略有助于解决问题,但它牺牲了灵活性。这封信提出了一个部分仿射策略的MRU C问题与快速斜坡单元;该策略仅对耦合变量施加仿射关系,其余变量在实时调度中进行优化。因此,快速斜坡单元的实时灵活性得以保留。采用该方法,具有部分仿射策略的MRU C问题成为一个特殊的两阶段自适应鲁棒优化问题。数值试验表明,与仿射策略相比,所提出的部分仿射策略显著降低了调度的保守性,提高了调度的经济性和灵活性。
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引用次数: 0
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CSEE Journal of Power and Energy Systems
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