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Frequency Stability Analysis Based on Generation Flexibility and Domain of Attraction for Power Systems with High Proportion of Renewable Energy Sources 基于发电柔性和吸引域的高比例可再生能源电力系统频率稳定性分析
IF 5.7 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-03-07 DOI: 10.35833/MPCE.2024.000714
Xiaohui Zhang;Changhong Deng;Qiang Xu;Peng Cao;Wei Li;Li Feng
The significant increase in the proportion of renewable energy sources (RESs) has elevated risks of extreme ramp events and frequency instability in power systems. In recent years, frequency stability events have occurred in several countries/regions worldwide due to flexibility deficiencies. Generation flexibility has emerged as a critical factor influencing the frequency stability of power systems. This paper proposes a domain of attraction (DOA)-based quantitative method to assess the frequency stability region of power systems with a high proportion of RESs, considering generation flexibility constraints. First, ramp rate is adopted as the core indicator to characterize generation flexibility within automatic generation control (AGC) timescale, through which a nonlinear AGC model with rate saturation constraints is established. Second, the concept of DOA is introduced to define the stability region of the nonlinear AGC. Third, a quadratic Lyapunov-based estimation method is employed to quantitatively analyze the DOA of the nonlinear AGC at different generation flexibility levels. Simulation results demonstrate that increased generation flexibility expands the estimated DOA of the nonlinear AGC, whereas generation flexibility deficiency induces AGC instability. Moreover, state trajectory and time-domain simulation verify that the proposed estimation method accurately represents the stability region of the nonlinear AGC.
可再生能源比例的显著增加增加了电力系统发生极端斜坡事件和频率不稳定的风险。近年来,由于灵活性不足,在全球多个国家/地区发生了频率稳定事件。发电柔性已成为影响电力系统频率稳定性的重要因素。本文提出了一种基于吸引域(DOA)的定量方法,在考虑发电机组柔性约束的情况下,对高RESs比例电力系统的频率稳定区域进行评估。首先,在自动发电控制(AGC)时间尺度内,采用斜坡率作为表征发电柔性的核心指标,建立了具有速率饱和约束的非线性AGC模型;其次,引入DOA的概念来定义非线性AGC的稳定区域;第三,采用二次lyapunov估计方法,定量分析了不同发电柔性水平下非线性AGC的DOA。仿真结果表明,增加发电机组柔性可增大非线性AGC的估计DOA,而发电机组柔性不足会导致AGC失稳。此外,状态轨迹和时域仿真验证了所提估计方法能准确表征非线性AGC的稳定区域。
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引用次数: 0
Interpretable Distributionally Robust Optimization for Battery Energy Storage System Planning 电池储能系统规划的可解释分布鲁棒优化
IF 6.1 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-03-05 DOI: 10.35833/MPCE.2024.000974
Qian Wang;Xueguang Zhang;Ying Xu;Zhongkai Yi;Dianguo Xu
A mathematical programming approach rooted in distributionally robust optimization (DRO) provides an effective data-driven strategy for battery energy storage system (BESS) planning. Nevertheless, the DRO paradigm often lacks interpretability in its results, obscuring the causal relationships between data distribution characteristics and the outcomes. Furthermore, the current approach to battery type selection is not included in traditional BESS planning, hindering comprehensive optimization. To tackle these BESS planning problems, this paper presents a universal method for BESS planning, which is designed to enhance the interpretability of DRO. First, mathematical definitions of interpretable DRO (IDRO) are introduced. Next, the uncertainties in wind power, photovoltaic power, and loads are modeled by using second-order cone ambiguity sets (SOCASs). In addition, the proposed method integrates selection, sizing, and siting. Moreover, a second-order cone bidirectional-orthogonal strategy is proposed to solve the BESS planning problems. Finally, the effectiveness of the proposed method is demonstrated through case studies, offering planners richer decision-making insights.
基于分布式鲁棒优化(DRO)的数学规划方法为电池储能系统(BESS)规划提供了一种有效的数据驱动策略。然而,DRO范式的结果往往缺乏可解释性,模糊了数据分布特征与结果之间的因果关系。此外,目前的电池类型选择方法不包括在传统的BESS规划中,不利于全面优化。为了解决这些BESS规划问题,本文提出了一种通用的BESS规划方法,旨在提高DRO的可解释性。首先,介绍了可解释DRO的数学定义。其次,利用二阶锥模糊集(SOCASs)对风电、光伏发电和负荷的不确定性进行建模。此外,所提出的方法集成了选择,大小和定位。此外,还提出了一种二阶锥双向正交策略来解决BESS规划问题。最后,通过案例研究证明了所提出方法的有效性,为规划者提供了更丰富的决策见解。
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引用次数: 0
Co-Optimization of Carbon Reduction and Carbon Sequestration in Power Sector Toward Carbon Neutrality 面向碳中和的电力行业碳减排与固碳协同优化
IF 6.1 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-03-02 DOI: 10.35833/MPCE.2024.001135
Mingyu Yang;Yusheng Xue;Bin Cai;Feng Xue
Planning the low-carbon transition pathway of the power sector to meet the carbon neutrality goal poses a significant challenge due to the complex interplay of temporal, spatial, and cross-domain factors. A novel framework is proposed, grounded in the cyber-physical-social system in energy (CPSSE) and whole-reductionism thinking (WRT), incorporating a tailored mathematical model and optimization method to formalize the co-optimization of carbon reduction and carbon sequestration in the power sector. Using the carbon peaking and carbon neutrality transition of China as a case study, clustering method is employed to construct a diverse set of strategically distinct carbon trajectories. For each trajectory, the evolution of the generation mix and the deployment pathways of carbon capture and storage (CCS) technologies are analyzed, identifying the optimal transition pathway based on the criterion of minimizing cumulative economic costs. Further, by comparing non-fossil energy substitution and CCS retrofitting in thermal power, the analysis high-lights the potential for co-optimization of carbon reduction and carbon sequestration. The results demonstrate that leveraging the spatiotemporal complementarities between the two can substantially lower the economic cost of achieving carbon neutrality, providing insights for integrated decarbonization strategies in power system planning.
由于时间、空间和跨领域因素的复杂相互作用,规划电力部门的低碳转型路径以实现碳中和目标是一项重大挑战。基于能源领域的网络-物理-社会系统(CPSSE)和整体还原论思维(WRT),提出了一个新的框架,结合量身定制的数学模型和优化方法来形式化电力部门碳减排和碳封存的协同优化。本文以中国碳调峰和碳中和转型为例,采用聚类方法构建了一套不同的战略碳轨迹。对于每条轨迹,分析了发电组合的演变和碳捕集与封存(CCS)技术的部署路径,并基于最小化累积经济成本的准则确定了最优过渡路径。此外,通过比较非化石能源替代和CCS改造火电,分析强调了碳减排和碳封存共同优化的潜力。结果表明,利用两者之间的时空互补性可以大大降低实现碳中和的经济成本,为电力系统规划中的综合脱碳策略提供了见解。
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引用次数: 0
Coordinating Multiple Geo-Distributed Data Centers for Enhanced Participation in Frequency Regulation Services Under Uncertainty 协调多个地理分布数据中心以增强不确定条件下频率调节业务的参与
IF 6.1 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-03-02 DOI: 10.35833/MPCE.2024.001044
Bin Zou;Ge Chen;Hongcai Zhang;Yonghua Song
Data centers are promising demand-side flexible resources that can provide frequency regulation services to power grids. While most existing studies focus on individual data centers, coordinating multiple geo-distributed data centers can significantly enhance operational flexibility and market participation. However, the inherent uncertainty in both data center workloads and regulation signals pose significant challenges to maintaining effective operations, let alone determining regulation capacity offerings. To address these challenges, this paper proposes a coordinated bidding strategy for electricity purchases and regulation capacity offerings for multiple geo-distributed data centers in electricity markets. This strategy expands the feasible region of operational decisions, including workload dispatch, server activation, and cooling behaviors. To enhance the participation of data centers in frequency regulation services under uncertainty, chance-constrained programming is adopted. This paper presents explicit models for these uncertainties involved, starting with the Poisson-distributed workloads and then addressing the unpredictable regulation signals. Numerical experiments based on real-world datasets validate the effectiveness of the proposed strategy compared with state-of-the-art strategies.
数据中心是有前景的需求侧灵活资源,可以为电网提供频率调节服务。虽然大多数现有研究集中在单个数据中心,但协调多个地理分布式数据中心可以显著提高运营灵活性和市场参与度。然而,数据中心工作负载和监管信号固有的不确定性对维持有效运营构成了重大挑战,更不用说确定监管能力产品了。为了解决这些挑战,本文提出了电力市场中多个地理分布式数据中心的电力购买和监管能力提供的协调投标策略。该策略扩展了操作决策的可行范围,包括工作负载分派、服务器激活和冷却行为。为了提高不确定条件下数据中心对调频业务的参与度,采用了机会约束规划。本文提出了这些不确定性的显式模型,从泊松分布的工作负载开始,然后解决不可预测的调节信号。基于真实数据集的数值实验验证了该策略与当前策略的有效性。
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引用次数: 0
Data-Driven Peer-to-Peer Energy Trading Based on Prosumer-Driven Carbon-Aware Distribution Locational Marginal Price 基于产消驱动的碳意识分布区位边际价格的数据驱动点对点能源交易
IF 6.1 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-02-28 DOI: 10.35833/MPCE.2024.000548
Xingyu Liu;Yunting Yao;Tianran Li;Yening Lai;Qi Wang;Zhenya Ji
Peer-to-peer (P2P) energy trading enables an efficient regulation of distributed renewable energy among prosumers, implicitly promoting low-carbon operation. This study proposes a novel P2P energy trading scheme with coupled electricity-carbon (E/C) market that co-optimizes both power and carbon emission flows. To facilitate the low-carbon operations in the market, we introduce a prosumer-driven carbon-aware distribution locational marginal price (PDC-DLMP) to serve as a pricing signal for the distribution system operator (DSO). To efficiently determine the optimal trading solutions, we adopt a two-layer data-driven approach. The first layer employs a rein-forcement learning algorithm named multi-agent twin-delayed deep deterministic policy gradient (MATD3); the second layer uses a deep neural network (DNN) driven surrogate model, which is designed to map the PDC-DLMP signals, thereby eliminating the need for direct DSO intervention during market operation. This approach protects the physical model parameters of the distribution network and ensures multilevel privacy protection. Simulation results validate the effectiveness of the proposed P2P energy trading scheme with coupled E/C market, demonstrating its ability to achieve both reduced carbon emissions and lower operational costs for microgrid prosumers.
点对点(P2P)能源交易能够有效地监管生产消费者之间的分布式可再生能源,从而隐含地促进低碳运营。本文提出了一种新的P2P能源交易方案,该方案具有电力-碳(E/C)耦合市场,可共同优化电力和碳排放流。为了促进市场的低碳运作,我们引入了一个产消费者驱动的碳意识分配位置边际价格(PDC-DLMP)作为分配系统运营商(DSO)的定价信号。为了有效地确定最佳交易解决方案,我们采用了两层数据驱动的方法。第一层采用一种名为多智能体双延迟深度确定性策略梯度(MATD3)的强化学习算法;第二层使用深度神经网络(DNN)驱动的代理模型,该模型旨在映射PDC-DLMP信号,从而消除了在市场运行过程中直接DSO干预的需要。该方法既保护了配电网的物理模型参数,又保证了多级隐私保护。仿真结果验证了所提出的耦合E/C市场的P2P能源交易方案的有效性,证明了该方案能够同时降低微电网产消者的碳排放和运营成本。
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引用次数: 0
Large-Signal Analysis and Controller Synthesis of Droop-Based DC Power System with Saturation Constraints 饱和约束下基于下垂的直流电力系统大信号分析与控制器综合
IF 5.7 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-02-28 DOI: 10.35833/MPCE.2024.000164
Jinghan Zhao;Keting Wan;Yongpan Chen;Miao Yu
In DC power systems dominated by power electronic devices, constant power loads (CPLs) and saturation components significantly impact large-signal stability. During the large-signal stability analysis process, the presence of multiple state variables and high-order system poses substantial challenges. To address this, considering the complete control dynamics, this paper proposes an equivalent single-machine (ESM) model of the droop-based DC power systems to reduce the complexity of the large-signal analysis. Building on the proposed ESM model, considering the dynamics of CPL and saturation constraints, a region of attraction (ROA) estimation algorithm based on sum of squares (SOS) programming is proposed, which significantly reduces the conservativeness compared with other existing methods. Furthermore, a control parameter optimization algorithm based on SOS programming is proposed with the aim of expanding the ROA. Furthermgre, with the aim of expanding the ROA, controller sythesis is conducted with proposed control parameter optimization algorithm based on SOS programming. Ultimately, simulation experiments validate the accuracy of the proposed ESM model and the proposed ROA estimation algorithm, as well as the effectiveness of the control parameter optimization algorithm.
在以电力电子器件为主的直流电力系统中,恒功率负载和饱和元件对大信号稳定性的影响很大。在大信号稳定性分析过程中,多状态变量和高阶系统的存在给系统稳定性分析带来了巨大的挑战。为了解决这一问题,考虑到完全控制动力学,本文提出了基于下垂的直流电力系统的等效单机(ESM)模型,以减少大信号分析的复杂性。在提出的ESM模型的基础上,考虑CPL的动态性和饱和约束,提出了一种基于平方和规划的吸引区域(ROA)估计算法,与现有方法相比,该算法显著降低了保守性。在此基础上,提出了一种基于SOS规划的控制参数优化算法,以扩大系统的ROA。在此基础上,采用基于SOS规划的控制参数优化算法进行控制器综合,以扩大系统的ROA。最后通过仿真实验验证了所提ESM模型和所提ROA估计算法的准确性,以及控制参数优化算法的有效性。
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引用次数: 0
Physics-Guided Safe Policy Learning with Enhanced Perception for Real-Time Dynamic Security Constrained Optimal Power Flow 基于物理指导的安全策略学习与增强感知的实时动态安全约束优化潮流
IF 6.1 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-02-26 DOI: 10.35833/MPCE.2024.001219
Yujian Ye;Yizhi Wu;Jianxiong Hu;Hao Hu;Siqi Qian;Xi Zhang;Qiong Wang;Goran Strbac
Driven by increasing penetration of intermittent renewable energy generation, modern power systems are promoting the integration of energy storage (ES) and advocating high-resolution dynamic security constrained optimal power flow (DSCOPF) models to exploit ES time-shifting flexibility against contingencies and respond promptly to more frequent variations in the system operating status. While pioneering research works explore different methods to solve security constrained optimal power flow (SCOPF) problems at individual time steps, real-time implementation of DSCOPF still faces challenges associated with uncertainty adaptation, complex constraint satisfaction, and computational efficiency. This paper proposes a physics-guided safe policy learning method, featuring an analytical evaluation model to provide both accurate safety and cost-efficiency evaluations. A primal-dual-based learning procedure is developed to guide policy learning, fostering prompt convergence. A spatial-temporal graph neural network is constructed to enhance perception on the spatial-temporal uncertainties and leverage policy generalization. Case studies validate the effectiveness and scalability of the proposed method in safety, cost-efficiency, and computational performance and highlight the value of enhanced perception on IEEE 39-bus and 118-bus test systems.
在间歇性可再生能源发电日益普及的推动下,现代电力系统正在推动储能(ES)的集成,并倡导高分辨率动态安全约束最优潮流(DSCOPF)模型,以利用ES的时移灵活性应对突发事件,并迅速响应系统运行状态的更频繁变化。虽然开创性的研究工作探索了不同的方法来解决各个时间步长的安全约束最优潮流(SCOPF)问题,但DSCOPF的实时实现仍然面临着与不确定性适应、复杂约束满足和计算效率相关的挑战。本文提出了一种物理指导下的安全策略学习方法,该方法以分析性评价模型为特征,提供准确的安全性和成本效益评价。制定了一个基于原始双重的学习程序来指导政策学习,促进迅速趋同。构建了一个时空图神经网络,增强了对时空不确定性的感知,并利用策略泛化。案例研究验证了该方法在安全性、成本效益和计算性能方面的有效性和可扩展性,并强调了在IEEE 39总线和118总线测试系统上增强感知的价值。
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引用次数: 0
Collaborative Recovery Method for Cyber-Physical Distribution System Considering Multiple Coupling Constraints 考虑多耦合约束的信息-物流配送系统协同恢复方法
IF 6.1 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-02-26 DOI: 10.35833/MPCE.2024.000925
Jiani Lu;Chao Qin;Yuan Zeng;Guilian Wu;Hao Chen
In cyber-physical distribution systems (CPDSs), the complex coupling between cyber and physical components poses significant challenges to system resilience. When extreme weather disasters occur, these coupling relationships greatly increase the complexity of recovery decisions, which prolongs recovery time and increases recovery costs. In this paper, a collaborative recovery method for CPDS considering multiple coupling constraints is proposed to avoid large-scale outages. First, a fictitious flow based model is established to describe the functional availability of cyber nodes. Second, three typical components are analytically modeled to describe the energy-control coupling relationships. Then, a collaborative recovery method is proposed for post-disaster crew dispatch, network reconfiguration, and fault repair to restore critical loads, considering both the cyber availability constraints and cyber-physical coupling constraints. Finally, the effectiveness of the proposed recovery method is verified by the DCPS-160 test system.
在网络-物理分配系统(cpds)中,网络和物理组件之间的复杂耦合对系统的弹性提出了重大挑战。当极端天气灾害发生时,这些耦合关系大大增加了恢复决策的复杂性,延长了恢复时间,增加了恢复成本。本文提出了一种考虑多耦合约束的CPDS协同恢复方法,以避免大规模故障的发生。首先,建立了虚拟流模型来描述网络节点的功能可用性。其次,对三个典型组件进行了分析建模,描述了能量-控制耦合关系。然后,考虑网络可用性约束和网络物理耦合约束,提出了灾后人员调度、网络重构和故障修复的协同恢复方法,以恢复关键负荷。最后,通过DCPS-160测试系统验证了所提回收方法的有效性。
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引用次数: 0
Enhanced Scheduling Strategy for Wind Farm-Flexible Load Joint Operation System 风电场-柔性负荷联合运行系统的改进调度策略
IF 5.7 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-02-21 DOI: 10.35833/MPCE.2024.000244
Tianhui Meng;Jilai Yu
The increasing penetration of wind power poses challenges to the power grid operation and scheduling. Yet, if the uncertainty of wind power can be economically and effectively managed on the source side, it can drive the power grids towards renewable-dominant future. In this paper, an enhanced scheduling strategy for wind farm-flexible load joint operation system (WF-FLJOS) is proposed. The proposed strategy is designed to manage the uncertainty of wind power on the generation side when integrated into a large-scale power grid. Moreover, it can contribute to saving energy costs on the load side. Compared with the current wind farm operation rules, more stringent assessment requirements are put forward for wind power output accuracy, and the internal organization framework of WF-FLJOS is designed. For potential power violations of wind farms and flexible loads, the violation penalty mechanisms are developed to regulate the behavior of the participants. The joint operation model of the WF-FLJOS is proposed and the submission and tracking approach of the generation schedule for the wind farm is investigated. Numerical results indicate that the proposed strategy can not only improve the ability of the wind farm to track the generation schedule, but also consider the benefits of both the farm side and the load side. Meanwhile, the proposed strategy effectively reduces the schedule adjustment pressure on the main grid caused by the rolling correction mode of the intraday schedule for wind farms.
风电的日益普及对电网的运行和调度提出了挑战。然而,如果风能的不确定性能够在源头方面得到经济有效的管理,它可以推动电网走向可再生能源主导的未来。提出了一种针对风电场-柔性负荷联合运行系统(WF-FLJOS)的增强调度策略。所提出的策略旨在管理风力发电在整合到大型电网时的不确定性。此外,它还有助于节省负载侧的能源成本。与现行风电场运行规则相比,对风电输出精度提出了更严格的考核要求,并设计了WF-FLJOS的内部组织框架。针对风电场和柔性负荷的潜在电力违规行为,建立了违规处罚机制来规范参与者的行为。提出了WF-FLJOS联合运行模型,研究了风电场发电计划的提交与跟踪方法。数值结果表明,该策略不仅提高了风电场跟踪发电计划的能力,而且兼顾了电场侧和负荷侧的利益。同时,该策略有效降低了风电场日内调度滚动修正模式给主电网带来的调度调整压力。
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引用次数: 0
Microgrid Formation Method for Load Restoration in Distribution Network with Dynamic Frequency Constraints 动态频率约束下配电网负荷恢复的微网形成方法
IF 5.7 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-02-21 DOI: 10.35833/MPCE.2024.000152
Jingwen Huang;Guannan Lou;Wei Gu;Chao Shen
In extreme events, microgrid (MG) formation has drawn attention due to its potential to assist in load restoration in the distribution network by utilizing the distributed generations (DGs). However, most of the state-of-the-art studies pay attention to the steady constraints without considering the transient performance during MG formation process. Power fluctuations caused by line switch operations can lead to frequency overruns in low-inertia DG-based systems, thus tripping protective relays. This paper proposes an MG formation method for load restoration in the distribution network with dynamic frequency constraints during the load restoration process. Firstly, considering the frequency constraints, a frequency nadir formula is derived based on the aggregated model. The proposed MG formation method offers two solutions to ensure the frequency safety. One solution is to incorporate the dynamic frequency constraints into the MG formation optimization model to satisfy the frequency requirements if the load restoration amount is preferred. Another alternative solution is to introduce an inertia-adjustable control strategy using virtual synchronous generators (VSGs), which is aimed to improve the frequency nadir during MG formation process. This solution is implemented without changing the MG formation result that is subject to only steady constraints when the load restoration speed is privileged. Theoretical validity is verified through the simulation results. Case study results prove the effectiveness of proposed solutions under various demands in the aspect of frequency improvement.
在极端情况下,微电网(MG)的形成由于其利用分布式代(dg)辅助配电网负荷恢复的潜力而受到关注。然而,目前的研究大多只关注稳态约束,而没有考虑油气形成过程中的瞬态特性。线路开关操作引起的功率波动可能导致基于低惯性dg的系统频率超标,从而跳闸保护继电器。针对配电网在负荷恢复过程中存在动态频率约束的情况,提出了一种负荷恢复的MG形成方法。首先,考虑频率约束,在聚合模型的基础上推导出频率最低点公式;所提出的MG形成方法提供了两种保证频率安全的方案。一种解决方案是将动态频率约束纳入MG地层优化模型中,在负荷恢复量较优的情况下满足频率要求。另一种解决方案是引入一种利用虚拟同步发电机(VSGs)的惯性可调控制策略,该策略旨在改善MG形成过程中的频率最低点。该解决方案在不改变MG地层结果的情况下实现,仅受负载恢复速度特权的稳定约束。仿真结果验证了理论的有效性。通过实例分析,验证了所提方案在频率改进方面的有效性。
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引用次数: 0
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