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Frequency-fixed grid-forming control for less-dynamic and safer renewable power systems
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作者 Yong Min Zhenyu Lei +4 位作者 Lei Chen Fei Xu Boyuan Zhao Zongxiang Lu Ling Hao 《iEnergy》 2025年第4期219-234,共16页
Grid-forming(GFM)control is a key technology for ensuring the safe and stable operation of renewable power systems dominated by converter-interfaced generation(CIG),including wind power,photovoltaic,and battery energy... Grid-forming(GFM)control is a key technology for ensuring the safe and stable operation of renewable power systems dominated by converter-interfaced generation(CIG),including wind power,photovoltaic,and battery energy storage.In this paper,we challenge the traditional approach of emulating a synchronous generator by proposing a frequency-fixed GFM control strategy.The CIG endeavors to regulate itself as a constant voltage source without control dynamics due to its capability limitation,denoted as the frequency-fixed zone.With the proposed strategy,the system frequency is almost always fixed at its rated value,achieving system active power balance independent of frequency,and intentional power flow adjustments are implemented through direct phase angle control.This approach significantly reduces the frequency dynamics and safety issues associated with frequency variations.Furthermore,synchronization dynamics are significantly diminished,and synchronization stability is enhanced.The proposed strategy has the potential to realize a renewable power system with a fixed frequency and robust stability. 展开更多
关键词 Converter interfaced generation grid-forming control frequency stability active power control synchronization stability renewable power system
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Neural-Network-Based Terminal Sliding Mode Control for Frequency Stabilization of Renewable Power Systems 被引量:6
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作者 Dianwei Qian Guoliang Fan 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2018年第3期706-717,共12页
This paper addresses a terminal sliding mode control(T-SMC) method for load frequency control(LFC) in renewable power systems with generation rate constraints(GRC).A two-area interconnected power system with wind turb... This paper addresses a terminal sliding mode control(T-SMC) method for load frequency control(LFC) in renewable power systems with generation rate constraints(GRC).A two-area interconnected power system with wind turbines is taken into account for simulation studies. The terminal sliding mode controllers are assigned in each area to achieve the LFC goal. The increasing complexity of the nonlinear power system aggravates the effects of system uncertainties. Radial basis function neural networks(RBF NNs) are designed to approximate the entire uncertainties. The terminal sliding mode controllers and the RBF NNs work in parallel to solve the LFC problem for the renewable power system. Some simulation results illustrate the feasibility and validity of the presented scheme. 展开更多
关键词 Generation rate constraint(GRC) load frequency control(LFC) radial basis function neural networks(RBF NNs) renewable power system terminal sliding mode control(T-SMC)
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Distributed High Efficiency Renewable Power Systems With Modules in Series Connection 被引量:1
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作者 WU Hongfei SUN Kai XING Yan 《中国电机工程学报》 EI CSCD 北大核心 2012年第33期I0001-I0022,共22页
Renewable power modules such as the thermoelectric generator and the PV panel are featured by low output voltage and low power.Aiming at maximum output power,a high energy efficiency module integrated converter(MIC),a... Renewable power modules such as the thermoelectric generator and the PV panel are featured by low output voltage and low power.Aiming at maximum output power,a high energy efficiency module integrated converter(MIC),as shown in Fig.1,and its control strategy for series connected distributed(SCD)renewable power systems,as shown in Fig.2,are proposed.The topology of the MIC is an improved one of the conventional H-bridge Buck-Boost converter. 展开更多
关键词 distributed power system module integrated converter renewable power system Buck-Boost converter high energy efficiency
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Development Track of Renewable Power Technology in China
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作者 Hou Jianchao1, Tan Zhongfu,1 Zhao Jianbao2 1. Institute of Power Economics, North China Electric Power University 2. Luoyang Power Supply Company of Henan Province Li Wei 《Electricity》 2009年第3期42-47,共6页
Introduction Within the context of deeper global energy shortage and increasingly more polluted environment,countries throughout the world have been actively developing renewable energy sources to replace the fossil f... Introduction Within the context of deeper global energy shortage and increasingly more polluted environment,countries throughout the world have been actively developing renewable energy sources to replace the fossil fuel, 展开更多
关键词 TIME Development Track of renewable power Technology in China
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A Study on Renewable Power Pricing Mechanism and Price Incentive Policies in China
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作者 Shi Jingli Energy Research Institute, National Development and Reform Commission 《Electricity》 2008年第3期18-21,共4页
The basic framework of price policies for promoting renewable power de- velopment in China is introduced. The background, concept and implementation of price policies, focused on wind power, biomass power and solar po... The basic framework of price policies for promoting renewable power de- velopment in China is introduced. The background, concept and implementation of price policies, focused on wind power, biomass power and solar power, are summarized in the article. The experiences and lessons of implementation of these price policies are analyzed. It is concluded that reasonable price policy is quite effective for promoting re- newable power development. According to the requirement of China's renewable power development, the suggestions for improving renewable power pricing mechanism and price incentive policies are proposed. 展开更多
关键词 A Study on renewable power Pricing Mechanism and Price Incentive Policies in China
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Impedance Dataset Optimization Method for Data-driven Modeling of Renewable Power Generation Equipment Considering Multi-operation Conditions
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作者 Han Li Heng Nian +1 位作者 Bin Hu Zhen He 《Journal of Modern Power Systems and Clean Energy》 2025年第5期1642-1652,共11页
The data-driven approaches have been extensively developed for multi-operation impedance modeling of the renewable power generation equipment(RPGE).However,due to the black box of RPGE,the dataset used for establishin... The data-driven approaches have been extensively developed for multi-operation impedance modeling of the renewable power generation equipment(RPGE).However,due to the black box of RPGE,the dataset used for establishing impedance model lacks theoretical guidance for data generation,which reduces data quality and results in a large amount of data redundancy.To address this issue,this paper proposes an impedance dataset optimization method for data-driven modeling of RPGE considering multi-operation conditions.The objective is to improve the data quality of the impedance dataset,thereby reflecting the overall impedance characteristics with a reduced data amount.Firstly,the impact of operation conditions on impedance is evaluated to optimize the selection of operating points.Secondly,at each operating point,the frequency distribution is designed to reveal the impedance characteristics with fewer measurement points.Finally,a serial update method for measured datasets and the multi-operation impedance model is developed to further refine the dataset.The experiments based on control-hardware-in-loop(CHIL)are conducted to verify the effectiveness of the proposed method. 展开更多
关键词 renewable power generation equipment(RPGE) operating point impedance modeling DATA-DRIVEN dataset optimization
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Transient Stability Analysis and Control Strategy for Paralleled Grid-forming Renewable Power Generations under Symmetric Faults
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作者 Sen Huang Jun Yao +2 位作者 Wenwen He Dong Yang Hai Xie 《Protection and Control of Modern Power Systems》 2025年第5期165-180,共16页
Similar to synchronous generators(SGs),symmetrical short-circuit faults can reduce the stability margin of grid-forming renewable power generation(GFM-RPG),thereby heightening the risk of transient instability.While e... Similar to synchronous generators(SGs),symmetrical short-circuit faults can reduce the stability margin of grid-forming renewable power generation(GFM-RPG),thereby heightening the risk of transient instability.While existing studies primarily examine single-machine infinite-bus systems,this work explores transient stability challenges inherent in paralleled GFM-RPG systems.First,through rigorous mathematical derivation,it establishes that the transient characteristics of paralleled systems can still be effectively characterized by a second-order motion equation.Subsequently,by applying the extended equal area criterion(EEAC)and numerical solutions to differential equations,the study uncovers the governing principles behind the variations in the critical clearing angle(CCA)and critical clearing time(CCT)for the paralleled GFM-RPG system under various operating conditions.Finally,to mitigate potential instability risks,two corrective strategies,namely adaptive damping enhancement and power switching control,are proposed to improve the transient stability of the paralleled system during symmetrical faults.Simulation results confirm the accuracy of the theoretical analysis and demonstrates the effectiveness of the proposed strategy. 展开更多
关键词 Grid-forming renewable power genera-tion TRANSIENT stability control strategy
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Stochastic processes in renewable power systems: From frequency domain to time domain 被引量:7
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作者 SONG YongHua CHEN XiaoShuang +2 位作者 LIN Jin LIU Feng QIU YiWei 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2019年第12期2093-2103,共11页
With the increasing penetration of renewable energy resources(RESs), the uncertainties of volatile renewable generations significantly affect the power system operation. Such uncertainties are usually modeled as stoch... With the increasing penetration of renewable energy resources(RESs), the uncertainties of volatile renewable generations significantly affect the power system operation. Such uncertainties are usually modeled as stochastic variables obeying specific distributions by neglecting the temporal correlations. Conventional approaches to hedge the negative effects caused by such uncertainties are thus hard to pursue a trade-off between computation efficiency and optimality. As an alternative, the theory of stochastic process can naturally model temporal correlation in closed forms. Attracted by this feature, our research group has been conducting thorough researches in the past decade to introduce stochastic processes within renewable power systems. This paper summarizes our works from the perspective of both the frequency domain and the time domain, provides the tools for the analysis and control of power systems under a unified framework of stochastic processes, and discusses the underlying reasons that stochastic process-based approaches can perform better than conventional approaches on both computational efficiency and optimality. These work may shed a new light on the research of analysis, control and operation of renewable power systems.Finally, this paper outlooks the theoretic developments of stochastic processes in future’s renewable power systems. 展开更多
关键词 renewable energy resources renewable power systems stochastic processes frequency domain time domain
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Renewable energy power generation projects started construction in Tibet
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作者 Liu Chunsheng 《Electricity》 2010年第2期6-,共1页
On March 19, the construction of a 10-MW photovoltaic power plant and a 1 000-kW new type geothermal power generation project were started by Guodian Longyuan Group in Yanbajing Town, Dangxiong County of Tibet.
关键词 renewable energy power generation projects started construction in Tibet
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Impact of interconnections and renewable energy integration on the Philippine-Sabah Power Grid systems
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作者 Tristan G.Magallones,Jr. Jai Govind Singh 《Global Energy Interconnection》 EI CSCD 2023年第3期253-272,共20页
This study presents a comprehensive impact analysis of the rotor angle stability of a proposed international connection between the Philippines and Sabah,Malaysia,as part of the Association of Southeast Asian Nations(... This study presents a comprehensive impact analysis of the rotor angle stability of a proposed international connection between the Philippines and Sabah,Malaysia,as part of the Association of Southeast Asian Nations(ASEAN)Power Grid.This study focuses on modeling and evaluating the dynamic performance of the interconnected system,considering the high penetration of renewable sources.Power flow,small signal stability,and transient stability analyses were conducted to assess the ability of the proposed linked power system models to withstand small and large disturbances,utilizing the Power Systems Analysis Toolbox(PSAT)software in MATLAB.All components used in the model are documented in the PSAT library.Currently,there is a lack of publicly available studies regarding the implementation of this specific system.Additionally,the study investigates the behavior of a system with a high penetration of renewable energy sources.Based on the findings,this study concludes that a system is generally stable when interconnection is realized,given its appropriate location and dynamic component parameters.Furthermore,the critical eigenvalues of the system also exhibited improvement as the renewable energy sources were augmented. 展开更多
关键词 Modeling of ASEAN power Grid Rotor angle stability of asynchronous Philippine-Sabah interconnection in ASEAN power Grid The impact of renewable energy integration on Philippine-Sabah interconnection in ASEAN power Grid
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A robust optimization model for demand response management with source-grid-load collaboration to consume wind-power 被引量:5
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作者 Xiangfeng Zhou Chunyuan Cai +3 位作者 Yongjian Li Jiekang Wu Yaoguo Zhan Yehua Sun 《Global Energy Interconnection》 EI CSCD 2023年第6期738-750,共13页
To accommodate wind power as safely as possible and deal with the uncertainties of the output power of winddriven generators,a min-max-min two-stage robust optimization model is presented,considering the unit commitme... To accommodate wind power as safely as possible and deal with the uncertainties of the output power of winddriven generators,a min-max-min two-stage robust optimization model is presented,considering the unit commitment,source-network load collaboration,and control of the load demand response.After the constraint functions are linearized,the original problem is decomposed into the main problem and subproblem as a matrix using the strong dual method.The minimum-maximum of the original problem was continuously maximized using the iterative method,and the optimal solution was finally obtained.The constraint conditions expressed by the matrix may reduce the calculation time,and the upper and lower boundaries of the original problem may rapidly converge.The results of the example show that the injected nodes of the wind farms in the power grid should be selected appropriately;otherwise,it is easy to cause excessive accommodation of wind power at some nodes,leading to a surge in reserve costs and the load demand response is continuously optimized to reduce the inverse peak regulation characteristics of wind power.Thus,the most economical optimization scheme for the worst scenario of the output power of the generators is obtained,which proves the economy and reliability of the two-stage robust optimization method. 展开更多
关键词 renewable power system Optimal dispatching Wind-power consumption Source-grid-load collaboration Load demand response Two-stage robust optimization model
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Some Recommendations for Improving Renewable Energy Policies in China
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作者 Yongmin Zhang Wenwen Liu 《Management Studies》 2015年第2期110-128,共19页
Renewable energy is the one of the most promising solutions for environmental protection and energy deficiency. Since 2005, the Chinese government has put forward a number of measures in promoting renewable energy. Th... Renewable energy is the one of the most promising solutions for environmental protection and energy deficiency. Since 2005, the Chinese government has put forward a number of measures in promoting renewable energy. This paper presents those renewable energy policies in China and illustrates their achievements and limits. Comparing the renewable energy policies in Europe and US, feed-in-tariffs and quotas are two main measures that are adopted by western countries. A detailed performance review of feed-in-tariffs and quotas is examined by using effectiveness and efficiency as criteria. The enlightenments to improve renewable policies in China include strengthening compliance with quotas, developing priority dispatch and technical standards for interconnection, putting forward a more advanced feed-in-tariff system, and ultimately guaranteeing the electricity consumer's right of choice. 展开更多
关键词 feed-in-tariffs renewable power quotas priority dispatch distributed generation
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An Assessment of Renewable Energy Options for Somalia Turkey Hospital
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作者 Bahtiyar Dursun Sibel Dursun Ercan Aykut 《Journal of Electrical Engineering》 2020年第1期27-45,共19页
Somalia Mogadishu-Turkey Training and Research Hospital is only powered by diesel generator currently.In this paper,the energy demand of this hospital is supplied by determining the optimum hybrid power renewable gene... Somalia Mogadishu-Turkey Training and Research Hospital is only powered by diesel generator currently.In this paper,the energy demand of this hospital is supplied by determining the optimum hybrid power renewable generating system.Therefore,numerous hybrid renewable power generating systems including the components like diesel generator,wind turbine,photovoltaic(PV)and battery are considered in different configurations.Eventually,they are technically,environmentally and economically analyzed by using the well-known HOMER software.Furthermore,a sensitivity analysis is also performed considering variations in three important parameters,namely average wind speed,current diesel price and also solar radiation.According to the results,the optimal system is the standalone Wind/Diesel/Battery hybrid renewable energy system(HRES)with the configuration of 1,000 kW wind turbine,350 kW diesel generator,250 kW power converters and 750 batteries.Additionally,this system has the net present cost of$5,056,700 as well as the cost of energy as$0.191/kWh.Lastly,it is clearly occurred that the Wind/Diesel/Battery HRES is eco-friendlier than other HRESs. 展开更多
关键词 SOMALIA renewable power generating system HOSPITAL environmental assessment hybrid systems renewable energy
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Double-machine Equivalent Method for Evaluating Plant-and Unit-level Stability of Hybrid Grid-connected Renewable Power Plants
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作者 Zixuan Guo Xing Zhang +3 位作者 Fei Li Xinxin Fu Feng Han Jilei Wang 《CSEE Journal of Power and Energy Systems》 2025年第5期2102-2116,共15页
Equivalent models are essential for time-domain simulation and harmonic stability evaluation of renewable power plants.Such harmonic instability may co-occur at the plant-level and unit-level,or it may only occur at t... Equivalent models are essential for time-domain simulation and harmonic stability evaluation of renewable power plants.Such harmonic instability may co-occur at the plant-level and unit-level,or it may only occur at the unit-level,manifesting as local resonances.However,conventional equivalent methods can only simulate plant-level instability,but cannot consider such unit-level instability.To address this problem,the main contributions of this paper are as follows:1)Based on the impedance matrix and the eigenvalue analysis,the reason why conventional equivalent methods cannot accurately simulate unitlevel stability is studied.2)A double-machine equivalent method is proposed.The model used in this method is a minimumscale equivalent model capable of simulating plant-level and unit-level stability,simultaneously.It uses two single-machine models to represent a generation cluster containing N generation units.A single-machine model M_(1) represents N—1 generation units for simplification,while another single-machine model M_(2) represents the remaining one generation unit for simulating unitlevel stability.3)Furthermore,a practical improvement approach of the double-machine equivalent method is proposed for taking into account operating point differences and complex connection conditions.Finally,the proposed method is verified by simulations and experiments. 展开更多
关键词 Double-machine equivalent model harmonic stability multi-machine renewable power generation
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Analysis and Control of Frequency Stability in Low-Inertia Power Systems:A Review 被引量:3
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作者 Changjun He Hua Geng +1 位作者 Kaushik Rajashekara Ambrish Chandra 《IEEE/CAA Journal of Automatica Sinica》 CSCD 2024年第12期2363-2383,共21页
Power electronic-interfaced renewable energy sources(RES)exhibit lower inertia compared to traditional synchronous generators.The large-scale integration of RES has led to a significant reduction in system inertia,pos... Power electronic-interfaced renewable energy sources(RES)exhibit lower inertia compared to traditional synchronous generators.The large-scale integration of RES has led to a significant reduction in system inertia,posing significant challenges for maintaining frequency stability in future power systems.This issue has garnered considerable attention in recent years.However,the existing research has not yet achieved a comprehensive understanding of system inertia and frequency stability in the context of low-inertia systems.To this end,this paper provides a comprehensive review of the definition,modeling,analysis,evaluation,and control for frequency stability.It commences with an exploration of inertia and frequency characteristics in low-inertia systems,followed by a novel definition of frequency stability.A summary of frequency stability modeling,analysis,and evaluation methods is then provided,along with their respective applicability in various scenarios.Additionally,the two critical factors of frequency control—energy sources at the system level and control strategies at the device level—are examined.Finally,an outlook on future research in low-inertia power systems is discussed. 展开更多
关键词 Frequency control frequency stability definition low inertia power system with high penetration of renewable energy sources
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Multi-Lever EarlyWarning forWind and Photovoltaic Power Ramp Events Based on Neural Network and Fuzzy Logic
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作者 Huan Ma Linlin Ma +3 位作者 Zengwei Wang Zhendong Li Yuanzhen Zhu Yutian Liu 《Energy Engineering》 EI 2024年第11期3133-3160,共28页
With the increasing penetration of renewable energy in power system,renewable energy power ramp events(REPREs),dominated by wind power and photovoltaic power,pose significant threats to the secure and stable operation... With the increasing penetration of renewable energy in power system,renewable energy power ramp events(REPREs),dominated by wind power and photovoltaic power,pose significant threats to the secure and stable operation of power systems.This paper presents an early warning method for REPREs based on long short-term memory(LSTM)network and fuzzy logic.First,the warning levels of REPREs are defined by assessing the control costs of various power control measures.Then,the next 4-h power support capability of external grid is estimated by a tie line power predictionmodel,which is constructed based on the LSTMnetwork.Finally,considering the risk attitudes of dispatchers,fuzzy rules are employed to address the boundary value attribution of the early warning interval,improving the rationality of power ramp event early warning.Simulation results demonstrate that the proposed method can generate reasonable early warning levels for REPREs,guiding decision-making for control strategy. 展开更多
关键词 Early warning machine learning power system security renewable energy power ramp event smart grid
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PLL Frequency Stability Enhancement under Weak Grid Considering Reactive Current Support
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作者 Bin Hu Ling Zhan +1 位作者 Heng Nian Donglian Qi 《CES Transactions on Electrical Machines and Systems》 2025年第1期110-114,共5页
The phase-locked loop(PLL)plays an essential role for synchronizing renewable power generation to the grid.However,as per the grid-code compliance for reactive current support,the PLL output frequency fluctuates signi... The phase-locked loop(PLL)plays an essential role for synchronizing renewable power generation to the grid.However,as per the grid-code compliance for reactive current support,the PLL output frequency fluctuates significantly and exceeds the limitation,which seriously threaten the safe supply of electricity.In this paper,the underlying theoretical mechanism and dominant force behind the maximum PLL frequency deviation are revealed.Accordingly,two feasible approaches are proposed to enhance the PLL frequency stability with validations in experimental results. 展开更多
关键词 Phase-locked loop renewable power generation Weak grid Reactive current support
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A coordinated operation method of wind-PV-hydrogenstorage multi-agent energy system 被引量:1
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作者 Tengfei Ma Wei Pei +3 位作者 Yanhong Yang Hao Xiao Chenghong Tang Weiqi Hua 《Global Energy Interconnection》 EI CSCD 2024年第4期446-461,共16页
Wind-photovoltaic(PV)-hydrogen-storage multi-agent energy systems are expected to play an important role in promoting renewable power utilization and decarbonization.In this study,a coordinated operation method was pr... Wind-photovoltaic(PV)-hydrogen-storage multi-agent energy systems are expected to play an important role in promoting renewable power utilization and decarbonization.In this study,a coordinated operation method was proposed for a wind-PVhydrogen-storage multi-agent energy system.First,a coordinated operation model was formulated for each agent considering peer-to-peer power trading.Second,a coordinated operation interactive framework for a multi-agent energy system was proposed based on the theory of the alternating direction method of multipliers.Third,a distributed interactive algorithm was proposed to protect the privacy of each agent and solve coordinated operation strategies.Finally,the effectiveness of the proposed coordinated operation method was tested on multi-agent energy systems with different structures,and the operational revenues of the wind power,PV,hydrogen,and energy storage agents of the proposed coordinated operation model were improved by approximately 59.19%,233.28%,16.75%,and 145.56%,respectively,compared with the independent operation model. 展开更多
关键词 Wind-PV-hydrogen-storage Multi-agent energy system renewable power to hydrogen Coordinated operation Peer-to-peer power trading
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Smart Python Agents for Microgrids
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作者 Salem Al-Agtash Xueyan Xian +1 位作者 Kristina Petroshchuk Heba Syeddah 《Smart Grid and Renewable Energy》 2023年第10期183-196,共14页
Microgrids are revolutionary power systems that interconnect a mix of renewable power generation, load, storage systems, and inverters in a small-scale grid network. Operating microgrids while maintaining a consistent... Microgrids are revolutionary power systems that interconnect a mix of renewable power generation, load, storage systems, and inverters in a small-scale grid network. Operating microgrids while maintaining a consistent grid voltage and frequency during the islanding and disruption of renewables has been a challenging research problem. In this paper, a preliminary microgrid agent implementation is presented using SPADE (Smart Python Agent Development Environment) as a powerful development framework that has been used extensively in many application domains. Agents autonomously managed and operated microgrid individual components. A multiagent microgrid system was modeled to seamlessly operate and optimize energy balance by coordinating the actions of agents. Agents were built to forecast energy demand and solar power and coordinate to balance generation with load while maintaining optimal power flow and adequate network voltage and frequency. 展开更多
关键词 MICROGRIDS AGENTS SPADE renewable power
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Communication Resources Allocation for Time Delay Reduction of Frequency Regulation Service in High Renewable Penetrated Power System 被引量:1
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作者 Hongjie He Ning Zhang +3 位作者 Chongqing Kang Song Ci Fei Teng Goran Strbac 《CSEE Journal of Power and Energy Systems》 SCIE EI CSCD 2024年第2期468-480,共13页
The high renewable penetrated power system has severe frequency regulation problems.Distributed resources can provide frequency regulation services but are limited by com-munication time delay.This paper proposes a co... The high renewable penetrated power system has severe frequency regulation problems.Distributed resources can provide frequency regulation services but are limited by com-munication time delay.This paper proposes a communication resources allocation model to reduce communication time delay in frequency regulation service.Communication device resources and wireless spectrum resources are allocated to distributed resources when they participate in frequency regulation.We reveal impact of communication resources allocation on time delay reduction and frequency regulation performance.Besides,we study communication resources allocation solution in high renewable energy penetrated power systems.We provide a case study based on the HRP-38 system.Results show communication time delay decreases distributed resources'ability to provide frequency regulation service.On the other hand,allocating more communication resources to distributed resources'communica-tion services improves their frequency regulation performance.For power systems with renewable energy penetration above 70%,required communications resources are about five times as many as 30%renewable energy penetrated power systems to keep frequency performance the same.Index Terms-Communication resources allocation,commun-ication time delay,distributed resource,frequency regulation,high renewable energy penetrated power system. 展开更多
关键词 Communication resources allocation communication time delay distributed resource frequency regulation high renewable energy penetrated power system
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