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How to break carbon lock-in of thermal power industry in China—A tripartite evolutionary game analysis 如何打破中国火电行业的碳锁定--三方演化博弈分析
IF 10.1 1区 工程技术 Q1 ENERGY & FUELS Pub Date : 2024-09-24 DOI: 10.1016/j.apenergy.2024.124504
Moving away from a carbon-intensive power supply over the next few decades requires a commitment to both reduce power-related carbon emissions and ensure a secure and affordable power supply in China. However, thermal power still contributes to roughly 70 % of the electricity generated in China, and the carbon lock-in in thermal power hampers the realization of low carbon transition of power systems. In this context, this paper employs a tripartite evolutionary game model to explore the strategies of breaking carbon lock-in in thermal power generation among the power plants and China's central and local governments. Three scenarios were designed considering both CCS installation and economic incentives. Numerical simulations show neither power plants nor the local government has the motivation to decarbonize power generation in baseline scenario. Under the single decarbonization strategy scenario, only relying on technological progress, carbon trading or subsidy is infeasible to incentive decarbonization due to high cost. When the three strategies are combinedly used, carbon lock-in can be broken. Therefore, the combined decarbonization strategy that integrates reducing technology cost, increasing carbon trading price, and subsidy is recommended for the decarbonization of thermal power. Moreover, the selection of a proper decarbonization strategy should be based on local situation.
中国要在未来几十年内摆脱碳密集型电力供应,就必须同时致力于减少与电力相关的碳排放,并确保安全和可负担得起的电力供应。然而,火力发电仍占中国发电量的 70%左右,火力发电的碳锁定阻碍了电力系统低碳转型的实现。在此背景下,本文采用三方演化博弈模型,探讨电厂与中国中央和地方政府之间打破火力发电碳锁定的策略。本文设计了三种同时考虑碳捕集与封存装置和经济激励措施的方案。数值模拟显示,在基准情景下,发电厂和地方政府都没有动力去碳化发电。在单一去碳化战略情景下,由于成本高昂,仅依靠技术进步、碳交易或补贴来激励去碳化是不可行的。如果将三种策略结合使用,就可以打破碳锁定。因此,建议在火电脱碳过程中采用降低技术成本、提高碳交易价格和补贴相结合的脱碳策略。此外,应根据当地情况选择合适的去碳化策略。
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引用次数: 0
Design criterion of critical mode ejector for PEMFC hydrogen supply and recycle system PEMFC 供氢和循环系统临界模式喷射器的设计标准
IF 10.1 1区 工程技术 Q1 ENERGY & FUELS Pub Date : 2024-09-24 DOI: 10.1016/j.apenergy.2024.124566
Most studies on hydrogen ejectors focus on enhancing recirculation capability and extending the working range through structural optimization or innovation. Its wide application is limited by its performance deterioration dramatically due to its operating point slipping into the subcritical region under dynamic or fluctuating conditions. However, the criterion for ensuring and evaluating its operational stability is still lacking. Therefore, this study proposes a design criterion for stable and efficient hydrogen ejector, and a critical mode ejector is designed under the criterion. The internal flow characteristics, recirculation capability, and operational stability of the designed ejector are analyzed using an experimentally validated 2D axisymmetric CFD model. The findings indicate that the increase in primary flow pressure may decrease the critical recirculation ratio (ω), but effectively increase the critical back pressure (pc⁎). In addition, the ω increases roughly linearly as secondary flow pressure rises, while the pc⁎ is less affected by it. The ω is sensitive to anode gas relative humidity and increases with it, while its effect on pc⁎ can be disregarded. Considering both the recirculation capability and operational stability, the designed critical mode ejector can operate within a power range of 38.86–86.59 kW, with the corresponding stability margin of 5–90 kPa and minimum ω above 0.72. The designed ejector not only meets the requirement of ω but works in the critical mode over a wide power range compared to other hydrogen ejectors reported in the literature. Compared to ω, pc⁎ should have a higher priority in designing hydrogen ejectors. This research may contribute to designing stable and efficient ejectors used in PEMFC and promote its wide application.
关于氢气喷射器的大多数研究都集中在通过结构优化或创新来增强再循环能力和扩大工作范围。在动态或波动条件下,氢喷射器的工作点会滑入亚临界区,从而导致性能急剧下降,这限制了其广泛应用。然而,目前仍缺乏确保和评估其运行稳定性的标准。因此,本研究提出了稳定高效氢气喷射器的设计标准,并根据该标准设计了临界模式喷射器。通过实验验证的二维轴对称 CFD 模型分析了所设计喷射器的内部流动特性、再循环能力和运行稳定性。研究结果表明,一次流压力的增加可能会降低临界再循环比 (ω⁎),但会有效增加临界背压 (pc⁎)。此外,ω⁎ 会随着二次流压力的升高而大致线性增加,而 pc⁎ 受其影响较小。ω⁎对阳极气体相对湿度很敏感,会随着相对湿度的增加而增加,而其对 pc⁎ 的影响可以忽略不计。考虑到再循环能力和运行稳定性,所设计的临界模式喷射器可在 38.86-86.59 kW 功率范围内运行,相应的稳定裕度为 5-90 kPa,最小ω⁎高于 0.72。与文献报道的其他氢气喷射器相比,所设计的喷射器不仅满足ω的要求,而且能在很宽的功率范围内以临界模式工作。与 ω⁎ 相比,pc⁎ 在设计氢气喷射器时应具有更高的优先级。这项研究可能有助于设计用于 PEMFC 的稳定而高效的喷射器,并促进其广泛应用。
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引用次数: 0
The role of economic policies in achieving sustainable development goal 7: Insights from OECD and European countries 经济政策在实现可持续发展目标 7 方面的作用:经合组织和欧洲国家的见解
IF 10.1 1区 工程技术 Q1 ENERGY & FUELS Pub Date : 2024-09-24 DOI: 10.1016/j.apenergy.2024.124558
The literature widely recognizes the importance of effective economic policies in achieving Sustainable Development Goal 7 (SDG 7). However, existing research fails to examine how these policies synergistically affect the achievement of SDG 7 targets. This paper addresses this gap by conducting a configurational analysis to identify various combinations of economic policies through which countries can reach SDG 7 targets. Drawing on empirical evidence from 41 OECD and European countries, the findings suggest that governments must (1) enhance coherence of their economic policies through collaboration among and within government bodies, (2) promote prosperity and innovation opportunities by fostering inclusive labor markets, and (3) implement international financial regulations to facilitate energy investments. Policymakers can utilize these findings to identifying key policy levers, enhance innovation in policy making, and develop appropriate strategies for achieving sustainable development goals.
文献普遍承认有效的经济政策对实现可持续发展目标 7(SDG 7)的重要性。然而,现有研究未能考察这些政策如何协同影响可持续发展目标 7 的实现。本文针对这一空白进行了配置分析,以确定各国实现可持续发展目标 7 的各种经济政策组合。根据 41 个经合组织国家和欧洲国家的经验证据,研究结果表明,各国政府必须:(1)通过政府机构之间和内部的合作,加强经济政策的一致性;(2)通过培育包容性劳动力市场,促进繁荣和创新机会;(3)实施国际金融法规,促进能源投资。政策制定者可以利用这些发现来确定关键的政策杠杆,加强政策制定的创新性,并为实现可持续发展目标制定适当的战略。
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引用次数: 0
Multi-objective optimization design for a 15 MW semisubmersible floating offshore wind turbine using evolutionary algorithm 利用进化算法对 15 兆瓦半潜式浮式海上风力涡轮机进行多目标优化设计
IF 10.1 1区 工程技术 Q1 ENERGY & FUELS Pub Date : 2024-09-24 DOI: 10.1016/j.apenergy.2024.124533
This paper introduces a framework designed to optimize the configuration of a 15 MW floating offshore wind turbine (FOWT) with a focus on the cost. The proposed framework employs a multi-objective evolutionary algorithm, integrating frequency domain (FD) simulations with equilibrium analysis to assess the responses of the floating platform and its mooring system. The objective function of the optimization includes the steel structural mass of the floating platform, the pitch heeling angle, and the motion response amplitude operator (RAO) peak as determined by the FD simulation. Constraints pertinent to these objective functions, alongside the safety of the mooring system and the dynamic response and parameter settings of the FOWT, are meticulously enforced. The resulting optimized designs exhibit substantial improvements in the steel structural mass and pitch heeling angle compare to the initial design parameters. The reliability of this optimization framework is corroborated through time domain (TD) simulations, which elucidate the effects of the pitch heel angle and motion RAO peaks on the time domain response of the optimized structures. These insights offer reference for the future optimization of floating platforms and mooring systems in the realm of offshore wind energy.
本文介绍了一个旨在优化 15 兆瓦浮式海上风力涡轮机(FOWT)配置的框架,重点关注成本问题。所提出的框架采用多目标进化算法,将频域(FD)模拟与平衡分析相结合,以评估浮动平台及其系泊系统的响应。优化的目标函数包括浮动平台的钢结构质量、俯仰翻滚角和频域模拟确定的运动响应振幅算子(RAO)峰值。与这些目标函数相关的约束条件,以及系泊系统的安全性、浮式工作台的动态响应和参数设置,都得到了严格执行。与初始设计参数相比,优化后的设计在钢结构质量和俯仰角方面都有很大改进。通过时域(TD)仿真,阐明了俯仰后跟角和运动 RAO 峰对优化结构时域响应的影响,从而证实了该优化框架的可靠性。这些见解为未来海上风能领域浮动平台和系泊系统的优化提供了参考。
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引用次数: 0
Optimal energy management for prosumers and power plants considering transmission congestion based on carbon emission flow 基于碳排放流量,考虑输电拥堵问题,优化用户和发电厂的能源管理
IF 10.1 1区 工程技术 Q1 ENERGY & FUELS Pub Date : 2024-09-24 DOI: 10.1016/j.apenergy.2024.124488
With the rapid development of high-efficiency, long-distance, and large-capacity power interaction in multiple communities, prosumers in each community who can participate in three markets, i.e., green power market, electricity market and carbon market, may make decisions based on incomplete rational behaviors. The behaviors, e.g., purchasing plenty of power from the power plants through the independent system operator (ISO) at a certain time slot, may cause the problem that a certain power line cannot transmit the power since the amount of power intended to transmit via the power line is beyond the constraint of the physical network, which is regarded as the transmission congestion. How to realize the optimization of energy management for the prosumers and power plants in three markets considering transmission congestion arouse the public concern. In this paper, an optimal energy management method is proposed for the power plants and prosumers with community energy storage considering transmission congestion based on carbon emission flow. It is constructed with a three-level structure, i.e., prosumer level, ISO level and power plant level. At the first level, i.e., prosumer level, based on the cumulative prospect theory, an incomplete rational behavior model is developed for the prosumers who can store the excess power in community energy storage for backup. Due to the existing prosumer peer-to-peer energy trading approach, all prosumers in the same community can be aggregated into a community agent to participate in the three markets, which can deliver the power demand from the prosumers to the ISO at the second level. At the third level, power plant level, two energy trading models of power plants are established, which can deliver the power supply from the power plants to the ISO at the second level, i.e., ISO level, as well. One is presented for the coal-fired power plants according to the cost-benefit function theory, the other one is constructed for the renewable power plants considering the uncertainty of renewable output power. Then, at the second level, an energy management method considering transmission congestion is developed in respect of the power demand from the first-level behavior and the power supply from the third level. Finally, the optimization of energy management is solved under the Lagrange multiplier method with the improved differential evolution algorithm, which is verified in numerical simulations with the effectiveness of the proposed method.
随着多社区高效、远距离、大容量电力互动的快速发展,每个社区中可参与绿色电力市场、电力市场和碳市场三个市场的用户可能会做出基于不完全理性行为的决策。这些行为,例如在某个时间段通过独立系统运营商(ISO)从发电厂购买大量电力,可能会导致某条电力线无法传输电力的问题,因为打算通过该电力线传输的电力量超出了物理网络的限制,这被视为传输拥塞。如何在考虑输电拥塞的情况下,实现三个市场中用户和发电厂的能源管理优化,引起了公众的关注。本文基于碳排放流,提出了一种考虑输电拥塞的发电厂和社区储能用户的优化能源管理方法。该方法采用三层结构,即用户层、国际标准化组织层和发电厂层。在第一个层面,即消费者层面,基于累积前景理论,为消费者建立了一个不完全理性行为模型,消费者可将多余电力储存在社区储能中备用。由于现有的准用户点对点能源交易方式,同一社区的所有准用户可以聚合成一个社区代理,参与三个市场,从而在第二层面将准用户的电力需求输送给 ISO。在第三个层面,即发电厂层面,建立了两个发电厂能源交易模型,这两个模型也可以将发电厂的电力供应输送到第二层面的 ISO,即 ISO 层面。一个模型是根据成本效益函数理论为燃煤发电厂建立的,另一个模型是考虑到可再生能源输出功率的不确定性为可再生能源发电厂建立的。然后,在第二层,针对第一层行为的电力需求和第三层的电力供应,开发了一种考虑输电拥塞的能源管理方法。最后,利用改进的微分演化算法,在拉格朗日乘数法下对能源管理进行优化求解,并通过数值模拟验证了所提方法的有效性。
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引用次数: 0
Techno-economic assessment of a hybrid PV-assisted biomass gasification CCHP plant for electrification of a rural area in the Savannah region of Ghana 对加纳大草原地区用于农村电气化的光伏辅助生物质气化冷热电混合发电厂进行技术经济评估
IF 10.1 1区 工程技术 Q1 ENERGY & FUELS Pub Date : 2024-09-24 DOI: 10.1016/j.apenergy.2024.124446
In rural areas of sub-Saharan countries, there is great potential for solar and biomass resources to achieve a reliable electricity supply, reduce the dependence on fossil fuels, and mitigate greenhouse gas emissions, thereby tackling energy poverty and promoting sustainable development. This work aims to address the lack of reliable electricity access in rural communities of sub-Saharan countries through biomass gasification assisted by solar photovoltaic (PV) energy and a small back-up diesel engine–generator set. The biomass gasification plant is designed to convert locally available agricultural waste into producer gas, which can then be used to generate electricity. A detailed analysis of the system components, including the PV array, battery bank, biomass gasifier with a combined cooling, heat and power generation unit (CCHP), is carried out to evaluate their performance and efficiency under different operating conditions. The results reveal a CCHP efficiency of 62% for the gasification CCHP unit, accompanied by a remarkable 93.8% reduction in CO2 emissions considering the whole hybrid system. From an economic standpoint under conservative assumptions, the proposed facility can generate a cumulative profit of $157,890 after 20 years, recovering the initial investment within a period of just under 7 years. This is reflected in a levelized cost of electricity (LCOE) of $0.287/kWh, comparable to that of related studies. The outcomes demonstrate that the PV-assisted biomass gasification plant offers a sustainable technical, economical and environmentally friendly solution for electrification of rural communities in sub-Saharan countries.
在撒哈拉以南国家的农村地区,太阳能和生物质资源在实现可靠的电力供应、减少对化石燃料的依赖、减少温室气体排放,从而解决能源贫困和促进可持续发展方面具有巨大潜力。这项工作旨在通过生物质气化技术,在太阳能光伏(PV)能源和小型备用柴油发动机发电机组的辅助下,解决撒哈拉以南国家农村社区缺乏可靠电力供应的问题。生物质气化厂的设计目的是将当地可用的农业废弃物转化为生产气体,然后用于发电。对系统的各个组成部分,包括光伏阵列、电池组、生物质气化炉以及冷却、热能和发电联合装置(CCHP)进行了详细分析,以评估它们在不同运行条件下的性能和效率。结果显示,气化冷热电联产装置的冷热电联产效率为 62%,而整个混合系统的二氧化碳排放量则显著减少了 93.8%。从经济角度来看,在保守的假设条件下,拟议的设施在 20 年后可累计产生 157890 美元的利润,在不到 7 年的时间内就可收回初始投资。这体现在 0.287 美元/千瓦时的平准化电力成本 (LCOE),与相关研究结果相当。研究结果表明,光伏辅助生物质气化发电厂为撒哈拉以南国家农村社区的电气化提供了可持续的技术、经济和环保解决方案。
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引用次数: 0
Vehicle-to-grid impact on battery degradation and estimation of V2G economic compensation 车辆对电网对电池退化的影响以及 V2G 经济补偿估算
IF 10.1 1区 工程技术 Q1 ENERGY & FUELS Pub Date : 2024-09-24 DOI: 10.1016/j.apenergy.2024.124546
This study investigates the Lithium-ion battery degradation of battery electric vehicles (BEVs) and calculates the compensation cost when BEVs are used as primary energy storage systems using vehicle-to-grid (V2G) technology. We introduce a novel co-simulation interface in MATLAB Simulink, which includes a V2G model, a BEV mobility model, and a battery degradation model to estimate the BEV battery degradation. This study considers three V2G operational scenarios from the fleet perspective and three individual user profiles to examine different battery degradation levels under different scenarios. Unlike studies that analyse battery degradation for a shorter period (1 day to 1 year), with standard drive cycles under a constant C rate, the co-simulation model calculates the battery degradation with a variable C rate energy flow under multiple real-world drive cycles, variable V2G operational and participation scenarios until the end of the life of the battery, followed by the estimation of V2G economic compensation.
The results show that V2G increases the battery degradation rate by 9 % - 14 % over 10 years. Unlike the calender degradation process which contributes 85 % to 90 % of total degradation over 10 years without V2G, the cyclic degradation process contributes only 10 % to 15 %, which increases to 20 % - 25 % with V2G for different sub-scenarios. As V2G only contributes to cyclic degradation, the results show an average of 0.31 % increase in total degradation per year due to V2G for 33 charging/discharging cycles. To break even the degradation rate and infrastructure cost, the comprehensive economic analysis estimates the V2G compensation as €132/MWh of V2G energy flow in the 2030 scenario and €70/MWh of V2G energy flow in the 2050 scenario.
本研究调查了电池电动汽车(BEV)的锂离子电池退化情况,并计算了使用车联网(V2G)技术将电池电动汽车用作主要储能系统时的补偿成本。我们在 MATLAB Simulink 中引入了一个新颖的协同仿真界面,其中包括一个 V2G 模型、一个 BEV 移动模型和一个电池退化模型,用于估算 BEV 电池的退化情况。本研究从车队角度出发,考虑了三种 V2G 运行场景和三种个人用户情况,以研究不同场景下的不同电池衰减水平。与分析较短时间内(1 天至 1 年)电池降解、恒定 C 率下的标准驱动周期的研究不同,该联合模拟模型计算了多个实际驱动周期、可变 V2G 运行和参与情景下的可变 C 率能量流下的电池降解,直至电池寿命结束,然后估算 V2G 经济补偿。在没有 V2G 的情况下,日历退化过程占 10 年总退化率的 85% 至 90%,与此不同的是,周期退化过程只占 10% 至 15%,而在不同的子方案中,V2G 会将这一比例提高到 20% 至 25%。由于 V2G 只造成周期性退化,结果表明,在 33 个充电/放电周期中,V2G 每年造成的总退化率平均增加 0.31%。为了平衡退化率和基础设施成本,综合经济分析估计,在 2030 年方案中,V2G 补偿为 132 欧元/兆瓦时的 V2G 能量流,在 2050 年方案中,V2G 补偿为 70 欧元/兆瓦时的 V2G 能量流。
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引用次数: 0
Mechanism design of EVs fast charging rights for enhanced vehicle-to-grid regulation 电动汽车快速充电权的机制设计,以加强车辆对电网的监管
IF 10.1 1区 工程技术 Q1 ENERGY & FUELS Pub Date : 2024-09-24 DOI: 10.1016/j.apenergy.2024.124392
With the advancement of policy initiatives and technological developments, vehicle-to-grid (V2G) interactions have emerged as a critical focus within power system research. Despite numerous current studies on V2G, the exploration of incentive mechanisms to encourage user participation in these systems remains comparatively underdeveloped. This study proposes an innovative demand response (DR) incentive mechanism for electric vehicles (EVs) grounded in the regulation of fast charging powers via strategically assigning and allocating virtual points defined as fast charging right (FCR). The primary objective of this mechanism is to meet the power regulation requirements of DR while simultaneously balancing the grid’s response costs and accommodating the charging demands of EV users. Through simulation and comparative analysis with the existing pilot DR incentive mechanisms, the results demonstrate that the proposed mechanism outperforms the current model in three critical aspects: power regulation efficacy, cost-effectiveness, and user experience. In addition, this paper investigates the performance of the incentive mechanisms in both online and offline scheduling environments. The findings reveal that the FCR mechanism maintains robust power regulation performance even under online scheduling conditions.
随着政策措施的推进和技术的发展,车联网(V2G)互动已成为电力系统研究中的一个重要焦点。尽管目前有许多关于 V2G 的研究,但对鼓励用户参与这些系统的激励机制的探索仍相对不足。本研究针对电动汽车(EV)提出了一种创新的需求响应(DR)激励机制,即通过战略性地分配和分配定义为快速充电权(FCR)的虚拟点来调节快速充电功率。该机制的主要目标是在满足 DR 功率调节要求的同时,平衡电网响应成本并满足电动汽车用户的充电需求。通过仿真以及与现有试点 DR 激励机制的比较分析,结果表明所提出的机制在电力调节效率、成本效益和用户体验三个关键方面均优于现有模式。此外,本文还研究了激励机制在在线和离线调度环境下的表现。研究结果表明,即使在在线调度条件下,FCR 机制也能保持稳健的功率调节性能。
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引用次数: 0
A novel method for state of charge estimation of lithium-ion batteries at low-temperatures 低温下锂离子电池电荷状态估算的新方法
IF 10.1 1区 工程技术 Q1 ENERGY & FUELS Pub Date : 2024-09-24 DOI: 10.1016/j.apenergy.2024.124514
The low temperature environment poses a significant challenge to the application of electric vehicles (EVs). At low temperatures, the dynamic characteristics inside the battery become significantly different from those in the temperature range of 10–40 °C, resulting in high uncertainties in the estimation of state of charge (SOC). Experimental studies on two types of lithium-ion batteries have found that due to changes in battery polarization characteristics at low temperatures, the open circuit voltage (OCV) identified by the commonly used equivalent circuit models and parameter identification methods becomes more distorted. This is the reason for the failure of most SOC estimation methods based on OCV-SOC mapping. A part of polarization voltage is incorrectly involved in the OCV by online parameter identification. Based on this phenomenon, a novel method is proposed to achieve accurate SOC estimation at low temperatures by compensating this part of polarization voltage. The compensation voltage is calculated by a function, which is identified from experimental data using genetic algorithm. The validation against experimental results demonstrates that the proposed method can achieve a root mean square error and mean absolute error of less than 3 % for the SOC estimation in temperatures down to −20 °C. Moreover, this method only needs experimental data of dynamic operating conditions measured at two temperatures which cover most of the battery's working temperature range. And its computational complexity is low, making it suitable for onboard applications.
低温环境给电动汽车(EV)的应用带来了巨大挑战。在低温条件下,电池内部的动态特性与 10-40 °C 温度范围内的动态特性有很大不同,导致电量状态(SOC)估算的不确定性很高。对两种锂离子电池进行的实验研究发现,由于低温下电池极化特性的变化,常用等效电路模型和参数识别方法所识别的开路电压(OCV)变得更加失真。这是大多数基于 OCV-SOC 映射的 SOC 估算方法失效的原因。在线参数识别方法错误地将极化电压的一部分卷入了 OCV。基于这一现象,我们提出了一种新方法,通过补偿这部分极化电压,在低温条件下实现准确的 SOC 估算。补偿电压由一个函数计算,该函数通过遗传算法从实验数据中识别出来。根据实验结果进行的验证表明,在温度低至 -20 °C 的情况下,所提出的方法在 SOC 估算方面的均方根误差和平均绝对误差均小于 3%。此外,该方法只需要在两个温度下测量动态工作条件的实验数据,这两个温度覆盖了电池工作温度的大部分范围。而且它的计算复杂度低,适合车载应用。
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引用次数: 0
Online assessment of frequency support capability of the DFIG-based wind farm using a knowledge and data-driven fusion Koopman method 使用知识和数据驱动的 Koopman 融合方法在线评估基于 DFIG 的风电场的频率支持能力
IF 10.1 1区 工程技术 Q1 ENERGY & FUELS Pub Date : 2024-09-23 DOI: 10.1016/j.apenergy.2024.124518
The increasing integration of renewable energy in power systems causes a decrease in the frequency stability of the system. Consequently, renewable energy stations, such as wind farms (WFs), must possess adequate frequency support capabilities. To maximize the frequency support capability of the WF, it is crucial to determine the frequency support capability boundaries (FSCB) of the WF. Due to the uneven distribution of wind resources and complex operating states of wind turbines, accurate evaluation of the FSCB of the WF is challenging. To address this issue, this paper proposes a knowledge and data-driven fusion Koopman method to assess the FSCB of the doubly fed induction generator (DFIG)-based WF. The characteristics of FSCB are analyzed and a multi-dimensional indicator system is defined to precisely quantify FSCB at both theoretical and practical levels. To accurately calculate the defined indicators, a knowledge and data-driven fusion method based on Koopman-mixed integer linear programming (MILP) is proposed. The knowledge of WF frequency regulation structures is integrated to construct Koopman dictionary functions. This allows the training of historical frequency regulation data to obtain the global linearized Koopman operator for the assessment object. Subsequently, it facilitates online assessment results using real-time data. Case studies are undertaken on the four-machine two-area power system including a DFIG-based WF. The assessment error of the proposed Koopman-MILP method is within 2%, with an assessment speed nearly 10 times faster than conventional nonlinear methods. The proposed dictionary function, compared to the one without integrated knowledge, improves assessment accuracy by nearly 5 times. Additionally, it reveals the impact of frequency regulation strategies, safety operation constraints, and wind resources on FSCB. Simulation results validate the rationality of the proposed indicators, the accuracy of the assessment method, and the practicality of the assessment outcomes under various operating conditions.
可再生能源越来越多地融入电力系统,导致系统频率稳定性下降。因此,风电场等可再生能源发电站必须具备足够的频率支持能力。为了最大限度地提高风电场的频率支持能力,确定风电场的频率支持能力边界(FSCB)至关重要。由于风力资源分布不均和风机运行状态复杂,准确评估风场的频率支持能力边界具有挑战性。针对这一问题,本文提出了一种知识和数据驱动的 Koopman 融合方法,用于评估基于双馈异步发电机(DFIG)的风力发电机的 FSCB。本文分析了 FSCB 的特征,并定义了多维指标体系,以从理论和实践两个层面精确量化 FSCB。为了精确计算所定义的指标,提出了一种基于 Koopman 混合整数线性规划(MILP)的知识和数据驱动融合方法。通过整合 WF 频率调节结构的知识来构建 Koopman 字典函数。这样就可以对历史频率调节数据进行训练,从而获得评估对象的全局线性化 Koopman 算子。随后,还可利用实时数据获得在线评估结果。对包括基于 DFIG 的 WF 在内的四机两区电力系统进行了案例研究。所提出的 Koopman-MILP 方法的评估误差在 2% 以内,评估速度比传统非线性方法快近 10 倍。与没有综合知识的字典函数相比,所提出的字典函数将评估精度提高了近 5 倍。此外,它还揭示了频率调节策略、安全运行约束和风力资源对 FSCB 的影响。仿真结果验证了所提指标的合理性、评估方法的准确性以及评估结果在各种运行条件下的实用性。
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