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Analysis of Renewable Energy Absorption and Economic Feasibility in Multi-Energy Complementary Systems under Spot Market Conditions 被引量:1
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作者 Xiuyun Wang Zipeng Zhang +1 位作者 Chuang Liu Guoliang Bian 《Energy Engineering》 2025年第2期577-619,共43页
As the power system transitions to a new green and low-carbon paradigm,the penetration of renewable energy in China’s power system is gradually increasing.However,the variability and uncertainty of renewable energy o... As the power system transitions to a new green and low-carbon paradigm,the penetration of renewable energy in China’s power system is gradually increasing.However,the variability and uncertainty of renewable energy output limit its profitability in the electricity market and hinder its market-based integration.This paper first constructs a wind-solar-thermalmulti-energy complementary system,analyzes its external game relationships,and develops a bi-level market optimization model.Then,it considers the contribution levels of internal participants to establish a comprehensive internal distribution evaluation index system.Finally,simulation studies using the IEEE 30-bus system demonstrate that the multi-energy complementary system stabilizes nodal outputs,enhances the profitability of market participants,and promotes the market-based integration of renewable energy. 展开更多
关键词 Multi-energy complementary systems spot market two-layer optimization new energy consumption
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Base force element method of complementary energy principle for large rotation problems 被引量:9
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作者 Yijiang Peng Yinghua Liu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2009年第4期507-515,共9页
Using the concept of the base forces, a new finite element method (base force element method, BFEM) based on the complementary energy principle is presented for accurate modeling of structures with large displacemen... Using the concept of the base forces, a new finite element method (base force element method, BFEM) based on the complementary energy principle is presented for accurate modeling of structures with large displacements and large rotations. First, the complementary energy of an element is described by taking the base forces as state variables, and is then separated into deformation and rotation parts for the case of large deformation. Second, the control equations of the BFEM based on the complementary energy principle are derived using the Lagrange multiplier method. Nonlinear procedure of the BFEM is then developed. Finally, several examples are analyzed to illustrate the reliability and accuracy of the BFEM. 展开更多
关键词 Base force element method (BFEM) complementary energy principle Lagrange multiplier method Geometrically nonlinear Large rotation
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Carbon efficiency evaluation method for urban energy system with multiple energy complementary
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作者 Xianan Jiao Jiekang Wu +1 位作者 Yunshou Mao Mengxuan Yan 《Global Energy Interconnection》 EI CSCD 2024年第2期142-154,共13页
Urban energy systems(UESs)play a pivotal role in the consumption of clean energy and the promotion of energy cascade utilization.In the context of the construction and operation strategy of UESs with multiple compleme... Urban energy systems(UESs)play a pivotal role in the consumption of clean energy and the promotion of energy cascade utilization.In the context of the construction and operation strategy of UESs with multiple complementary energy resources,a comprehensive assessment of the energy efficiency is of paramount importance.First,a multi-dimensional evaluation system with four primary indexes of energy utilization,environmental protection,system operation,and economic efficiency and 21 secondary indexes is constructed to comprehensively portray the UES.Considering that the evaluation system may contain a large number of indexes and that there is overlapping information among them,an energy efficiency evaluation method based on data processing,dimensionality reduction,integration of combined weights,and gray correlation analysis is proposed.This method can effectively reduce the number of calculations and improve the accuracy of energy efficiency assessments.Third,a demonstration project for a UES in China is presented.The energy efficiency of each scenario is assessed using six operational scenarios.The results show that Scenario 5,in which parks operate independently and investors build shared energy-storage equipment,has the best results and is best suited for green and low-carbon development.The results of the comparative assessment methods show that the proposed method provides a good energy efficiency assessment.This study provides a reference for the optimal planning,construction,and operation of UESs with multiple energy sources. 展开更多
关键词 Urban energy systems(UESs) Multiple energy complementary system Carbon efficiency evaluation Data downscaling Subjective and objective weight Gray correlation analysis
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Design of the Multi-Energy Complementary Distributed Energy System for Towns
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作者 Tieyin Zhang Weihan Song Song +2 位作者 Shubao Wang Yuegang Wang Yukun Chen 《Journal of Power and Energy Engineering》 2021年第4期53-60,共8页
The multi-energy complementary distributed energy system (MCDES) covers a variety of energy forms, involves complex operation modes, and contains a wealth of control equipment and coupling links. It can realize the co... The multi-energy complementary distributed energy system (MCDES) covers a variety of energy forms, involves complex operation modes, and contains a wealth of control equipment and coupling links. It can realize the complementary and efficient use of different types of energy, which is the basic component of the physical layer of the Energy Internet. In this paper, aiming at the demand of the energy application for towns, a distributed energy system based on multi-energy complementary is constructed. Firstly, the supply condition of the distributed energy for the demonstration project is analyzed, and the architecture of the multi-energy complementary distributed energy system is established. Then the regulation strategy of the multi-energy complementary distributed energy system is proposed. Finally, an overall system scheme for the multi-energy complementary distributed energy system suitable for towns is developed, which provides a solid foundation for the development and promotion of the multi-energy complementary distributed energy system. 展开更多
关键词 Multi-energy complementary Distributed energy System System Scheme
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基于螺杆膨胀机的太阳能辅助热电联产系统性能分析
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作者 柴萍涛 顾煜炯 朱萍 《华北电力大学学报(自然科学版)》 北大核心 2026年第1期138-148,共11页
由于热电联产机组供热蒸汽参数的不匹配和机组调峰能力的不足,导致了抽汽能量的浪费和较低的可再生能源利用率。为此,在能源系统变革与新能源体系建设的背景下,以提高热电联产机组能效水平,增加运行灵活性为目的构建了基于螺杆膨胀机的... 由于热电联产机组供热蒸汽参数的不匹配和机组调峰能力的不足,导致了抽汽能量的浪费和较低的可再生能源利用率。为此,在能源系统变革与新能源体系建设的背景下,以提高热电联产机组能效水平,增加运行灵活性为目的构建了基于螺杆膨胀机的太阳能辅助热电联产系统。以某600 MW机组为例,利用Ebsilon软件建立热力学模型,对不同运行模式下互补系统的调峰能力、典型日运行特性以及结合碳交易的经济收益进行分析。结果表明,互补系统在两种运行模式下,均能有效拓展热电特性区域和提高系统调峰能力,调峰能力比原机组最大可增加19.94%,夜间风电消纳能力提升46.3 MW;采暖季典型日内,螺杆膨胀机发电量293.36 MW,互补系统节省标准煤耗量64.17 t(1.66%);非采暖季典型日内,系统太阳能累计发电量144.41 MW,平均光电效率可达18.08%。互补系统每年可减少43713.27 t的碳排放量,节省了349.71万元的碳交易成本。 展开更多
关键词 热电联产 螺杆膨胀机 太阳能热 多能互补
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海上光伏发展的关键技术挑战与多模式融合趋势
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作者 刘鲲 何非凡 林慰 《船舶工程》 北大核心 2026年第1期I0052-I0062,共11页
[目的]为系统评估海上光伏的规模化与商业化潜力,[方法]基于对国内外典型工程案例与最新研究文献的综述,从技术、工程与政策等多个维度进行综合分析。系统梳理海上光伏的发展现状,剖析关键技术挑战并展望融合趋势。[结果]研究表明:海上... [目的]为系统评估海上光伏的规模化与商业化潜力,[方法]基于对国内外典型工程案例与最新研究文献的综述,从技术、工程与政策等多个维度进行综合分析。系统梳理海上光伏的发展现状,剖析关键技术挑战并展望融合趋势。[结果]研究表明:海上光伏已从概念验证步入工程示范,固定式与漂浮式技术路线并行,且在“风光同场”和“渔光互补”等融合模式中展现出巨大潜力,但其发展仍严峻受制于严苛海洋环境适应性、系统可靠性、高成本等核心挑战。[结论]未来须加强关键技术攻关、政策协同与多产业融合,推动海上光伏向深远海、规模化、智能化方向发展,助力能源结构转型。 展开更多
关键词 太阳能 海上光伏 风光同场 渔光互补
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多能互补电力系统中混合式抽水蓄能电站作用分析
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作者 胡玮 姜梦妍 +2 位作者 董闯 益波 李运龙 《人民黄河》 北大核心 2026年第1期155-160,共6页
基于多种类电源区域电力系统研究混合式抽蓄电站的作用,构建了多时间尺度的互补调度优化模型,优化了青海电力系统全年8760 h互补运行。以黄河上游龙羊峡—拉西瓦梯级水电站增设可逆机组为例,分析其储能功能和对水电站运行的影响。结果表... 基于多种类电源区域电力系统研究混合式抽蓄电站的作用,构建了多时间尺度的互补调度优化模型,优化了青海电力系统全年8760 h互补运行。以黄河上游龙羊峡—拉西瓦梯级水电站增设可逆机组为例,分析其储能功能和对水电站运行的影响。结果表明:根据拉西瓦水库水位波动控制情况不同,120万kW可逆机组全年抽水消纳弃电19亿~29亿kW·h,降低电网弃电率1.0%~1.8%,龙羊峡水电站增发电量15亿~22亿kW·h;拉西瓦水库水位变幅限制对龙羊峡水电站可逆机组抽水和发电时长产生较大影响,将使可逆机组长时储能和调峰效益无法充分发挥;可逆机组在新能源连续大发和小发的特殊场景下能够分别进行10 h以上的长时抽水和发电运行,保障电力系统稳定运行。 展开更多
关键词 多能互补 调度优化 混合式抽水蓄能 梯级水电站 电力生产模拟 龙羊峡水电站 拉西瓦水电站
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Study on Ecological Compensation Policy among the Micro Subjects on Water Energy Resources Development 被引量:2
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作者 Shihua LI Deshan TANG 《Journal of Water Resource and Protection》 2009年第1期10-15,共6页
The subjects of ecological compensation involve the nation, society, development enterprises of wa-ter-energy resources, as well as the location of resource itself. This paper systematically studies on how to make “w... The subjects of ecological compensation involve the nation, society, development enterprises of wa-ter-energy resources, as well as the location of resource itself. This paper systematically studies on how to make “water energy sources market compensation policy”, “the economic compensation policy for relevant interest subjects” and “the ecological compensation policy of basin ecological water.” So, it is necessary to exert the complementary function between market compensation and government compensation by the means of economic compensation and to establish the ecological compensation policy of basin ecological water, which is beneficial to coordinating the stakeholders’ interests of cross-region or inter-basin. And it is important and significant to establish constantly perfected ecological compensation policy among the micro subjects on water energy resources development, so as to coordinate interest relationships among various subjects and finally reach the aim of sustainable use of water energy resources and environmental protection as possible. 展开更多
关键词 ECOLOGICAL COMPENSATION POLICY WATER energy Resources Development MICRO SUBJECTS re-source COMPENSATION Economic COMPENSATION Regional ECOLOGICAL WATER Market Compensa-tion Government COMPENSATION
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Some Concerns Related to the Idea of Energetic Complementarity and Its Application
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作者 Flávio P. Livi Elton G. Rossini Alexandre Beluco 《Energy and Power Engineering》 2017年第9期482-485,共4页
This letter to the editor presents some notes on energetic complementarity and a growing understanding of its role as a planning tool. This letter looks at the fact that an increasing number of works in recent years o... This letter to the editor presents some notes on energetic complementarity and a growing understanding of its role as a planning tool. This letter looks at the fact that an increasing number of works in recent years on this subject has promoted an increase in its level of importance in the design and operation of energy systems. The main change is the consideration of complementarity no longer as a consequence but as a design parameter. The continental dimension of Brazil, for example, should make it obvious that complementarities should be sought among the various energy resources available. 展开更多
关键词 Component: ENERGETIC Complementarity complementary energy re-sources
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Stochastic programming based coordinated expansion planning of generation,transmission,demand side resources,and energy storage considering the DC transmission system
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作者 Liang Lu Mingkui Wei +4 位作者 Yuxuan Tao Qing Wang Yuxiao Yang Chuan He Haonan Zhang 《Global Energy Interconnection》 EI CSCD 2024年第1期25-37,共13页
With the increasing penetration of wind and solar energies,the accompanying uncertainty that propagates in the system places higher requirements on the expansion planning of power systems.A source-grid-load-storage co... With the increasing penetration of wind and solar energies,the accompanying uncertainty that propagates in the system places higher requirements on the expansion planning of power systems.A source-grid-load-storage coordinated expansion planning model based on stochastic programming was proposed to suppress the impact of wind and solar energy fluctuations.Multiple types of system components,including demand response service entities,converter stations,DC transmission systems,cascade hydropower stations,and other traditional components,have been extensively modeled.Moreover,energy storage systems are considered to improve the accommodation level of renewable energy and alleviate the influence of intermittence.Demand-response service entities from the load side are used to reduce and move the demand during peak load periods.The uncertainties in wind,solar energy,and loads were simulated using stochastic programming.Finally,the effectiveness of the proposed model is verified through numerical simulations. 展开更多
关键词 Hydro-wind-solar complementary Expansion planning Demand response energy storage system Source-network-demand-storage coordination
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ICPS multi-target constrained comprehensive security control based on DoS attacks energy grading detection and compensation
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作者 HAN Yinlong HAN Xiaowu 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2024年第4期518-531,共14页
Aiming at the industry cyber-physical system(ICPS)where Denial-of-Service(DoS)attacks and actuator failure coexist,the integrated security control problem of ICPS under multi-objective constraints was studied.First,fr... Aiming at the industry cyber-physical system(ICPS)where Denial-of-Service(DoS)attacks and actuator failure coexist,the integrated security control problem of ICPS under multi-objective constraints was studied.First,from the perspective of the defender,according to the differential impact of the system under DoS attacks of different energies,the DoS attacks energy grading detection standard was formulated,and the ICPS comprehensive security control framework was constructed.Secondly,a security transmission strategy based on event triggering was designed.Under the DoS attack energy classification detection mechanism,for large-energy attacks,the method based on time series analysis was considered to predict and compensate for lost data.Therefore,on the basis of passive and elastic response to small energy attacks,the active defense capability against DoS attacks was increased.Then by introducing the conecomplement linearization algorithm,the calculation methods of the state and fault estimation observer and the integrated safety controller were deduced,the goal of DoS attack active and passive hybrid intrusion tolerance and actuator failure active fault tolerance were realized.Finally,a simulation example of a four-capacity water tank system was given to verify the validity of the obtained conclusions. 展开更多
关键词 industry cyber-physical system(ICPS) Denial-of-Service(DoS)attacks energy grading detection security event triggering mechanism time series analysis methods cone complementary linearization
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一种适用于风储微电网的混合储能系统的功率分配策略 被引量:2
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作者 李艳波 杨凯 +3 位作者 陈俊硕 姚博彬 刘维宇 武奇生 《电测与仪表》 北大核心 2025年第2期43-50,共8页
混合储能系统是微电网的重要组成部分之一,研究其功率分配策略对电池的保护具有重要意义。在由超级电容-蓄电池组成的混合储能系统的基础上,提出互补集合经验模态分解的方法来平抑风力发电不稳定性而引起的功率波动。针对风力发电的波... 混合储能系统是微电网的重要组成部分之一,研究其功率分配策略对电池的保护具有重要意义。在由超级电容-蓄电池组成的混合储能系统的基础上,提出互补集合经验模态分解的方法来平抑风力发电不稳定性而引起的功率波动。针对风力发电的波动性及不确定性,互补集合经验模态分解法能够把风电原始能量信号分解为固有模态分量和余量,通过能量熵理论求出功率一次分配分界点,即初始功率分配;提出利用模糊控制对混合储能系统的荷电状态进行优化约束,自适应调整并修正混合储能系统功率分配指令。利用MATLAB程序及Simulink仿真模型并结合算例分析,结果说明了提出的策略可以使蓄电池SOC波动不超过8%,超级电容SOC波动不超过10%,有效提高了整个系统的工作效率和使用寿命。 展开更多
关键词 互补集合经验模态分解法 模糊控制 荷电状态 能量熵
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基于改进的PSO风光互补公路隧道配置优化 被引量:2
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作者 李金 林志 +3 位作者 于冲冲 尹恒 黄可心 刘超铭 《科学技术与工程》 北大核心 2025年第6期2578-2584,共7页
公路隧道里程的快速增加也标志着运营成本的逐渐上升,高昂的公路隧道电力运营成本问题急需解决。为了降低公路隧道电力运营成本,实现节能减排。在“双碳”背景下,从优化能源结构的角度思考,探究可再生能源供电系统在公路隧道上的应用前... 公路隧道里程的快速增加也标志着运营成本的逐渐上升,高昂的公路隧道电力运营成本问题急需解决。为了降低公路隧道电力运营成本,实现节能减排。在“双碳”背景下,从优化能源结构的角度思考,探究可再生能源供电系统在公路隧道上的应用前景,建立一个风、光、储互补发电系统。以一条498 m长的公路隧道负荷为算例,利用基于改进的粒子群算法(particle swarm optimization,PSO),以全生命周期的设备建设成本和维护成本最低为目标,以缺电负荷率、储能容量为约束,针对风光储互补系统进行寻优。结果表明:经改进的离散型自适应粒子群算法在第20次迭代后得到了最优解,标准粒子群算法在近第300次迭代得到最优解,离散型自适应粒子群算法寻优能力更强;改进后的离散型自适应粒子群算法对比标准的粒子群算法,寻优结果的风、光、储的设备投资使用成本降低了57.83万元,约17.37%。对比算例隧道一年的用电成本51.50万元,风、光、储互补系统的全生命周期成本为332.88万元,投资成本将在7 a的时间内收回,该风光互补系统的投资回报率是10.47%。在设备20 a的使用寿命内,风光储互补发电系统将节省697.12万元的用电费用。 展开更多
关键词 公路隧道运营成本 粒子群算法 风光储互补系统 可再生能源
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太阳能辅助海洋温差能氨水吸收制冷特性研究 被引量:1
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作者 张艳梅 万玥汝 张程宾 《工程热物理学报》 北大核心 2025年第5期1409-1416,共8页
本文提出太阳能辅助的海洋温差能氨水吸收式制冷系统。在介绍制冷系统模块与工作原理后,建立系统仿真模型并进行了模型验证。基于该模型仿真研究了太阳能辅助海洋温差能氨水吸收式制冷系统的热经济性能,并与无太阳能辅助工况对比,分析... 本文提出太阳能辅助的海洋温差能氨水吸收式制冷系统。在介绍制冷系统模块与工作原理后,建立系统仿真模型并进行了模型验证。基于该模型仿真研究了太阳能辅助海洋温差能氨水吸收式制冷系统的热经济性能,并与无太阳能辅助工况对比,分析了发生温度和一级精馏温度对该系统制冷系数和㶲效率的影响。研究结果表明,通过太阳能辅助可获得比单一海洋温差能驱动的氨水吸收式制冷多11.6倍的制冷量,且制冷循环的热力完善度达43.3%;该系统存在最优的发生温度和一级精馏温度组合,可使制冷系统性能最佳。 展开更多
关键词 海洋温差能 吸收式制冷 多能互补 热经济性
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基于备用流量的水风光多能互补优化调度 被引量:1
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作者 方国华 刘畅 丁紫玉 《长江科学院院报》 北大核心 2025年第4期36-44,共9页
随着大规模风光电站接入,风光能源出力预测精度不足影响了电网的安全稳定运行。为解决此类问题,提出基于备用流量的水风光多能互补系统优化调度方法。首先,根据水电站的可用水量按比例设置备用流量,然后以发电量最大和余留负荷方差最小... 随着大规模风光电站接入,风光能源出力预测精度不足影响了电网的安全稳定运行。为解决此类问题,提出基于备用流量的水风光多能互补系统优化调度方法。首先,根据水电站的可用水量按比例设置备用流量,然后以发电量最大和余留负荷方差最小为目标建立基于备用流量的水风光多能互补优化调度模型,利用备用流量应对风光高发和低发的影响,最后对雅砻江下游梯级水电站及接入的风光电站进行实例研究。结果表明:相对于不设置备用流量,设置了备用流量的多能互补系统在典型丰水月(6月份)和典型枯水月(12月份)的发电量分别增加0.08%和1.97%,而余留负荷方差下降均超过40%;设置备用流量能够在保证发电效益的基础上减轻电力系统的供需平衡压力,保障电力系统安全稳定运行。该调度方法的有效性和实用性得到了验证,可供类似水电站参考。 展开更多
关键词 风光能源 备用流量 多能互补系统 优化调度 梯级水电站
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Circular Scale of Time Applied in Classifying the Quantum-Mechanical Energy Terms Entering the Framework of the Schrodinger Perturbation Theory
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作者 S.Olszewski 《Journal of Quantum Information Science》 2011年第3期142-148,共7页
The paper applies a one-to-one correspondence which exists between individual Schr?dinger perturbation terms and the diagrams obtained on a circular scale of time to whole sets of the Schr?dinger terms belonging to a ... The paper applies a one-to-one correspondence which exists between individual Schr?dinger perturbation terms and the diagrams obtained on a circular scale of time to whole sets of the Schr?dinger terms belonging to a definite perturbation order. In effect the diagram properties allowed us to derive the recurrence formulae giving the number of higher perturbative terms from the number of lower order terms. This recurrence formalism is based on a complementary property that any perturbation order N can be composed of two positive integer components Na , Nb combined into N in all possible ways. Another result concerns the degeneracy of the perturbative terms. This degeneracy is shown to be only twofold and the terms having it are easily detectable on the basis of a circular scale. An analysis of this type demonstrates that the degeneracy of the perturbative terms does not exist for very low perturbative orders. But when the perturbative order exceeds five, the number of degenerate terms predominates heavily over that of nondegenerate terms. 展开更多
关键词 Circular Scale of Time Quantum-Mechanical energy Terms complementary Relations Schrodinger’s Perturbation Theory
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含风-光-电氢混合储能的多微电网系统容量优化配置方法 被引量:4
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作者 刘忠 黄彦铭 +1 位作者 朱光明 邹淑云 《发电技术》 2025年第2期240-251,共12页
【目的】为研究高比例可再生能源接入所带来的电力系统功率平衡复杂性增加、潮流分布不确定性提升和电网安全稳定性要求提高的问题,提出了一种包含风电、光伏、蓄电池和氢储能的多微电网系统容量优化配置方法。【方法】在多微电网配电... 【目的】为研究高比例可再生能源接入所带来的电力系统功率平衡复杂性增加、潮流分布不确定性提升和电网安全稳定性要求提高的问题,提出了一种包含风电、光伏、蓄电池和氢储能的多微电网系统容量优化配置方法。【方法】在多微电网配电网框架下,建立双层优化模型。该模型外层目标为最低全生命周期成本,内层目标为最小化配电网的峰谷差、网损和电压偏移。基于IEEE 69节点系统,使用白鲨优化(white shark optimizer,WSO)算法和Cplex求解器对模型进行求解,并获取最优容量配置方案和规划运行结果。最后,通过不同储能组合进行案例分析。【结果】当系统各部件的容量配置达到最优时,风光发电系统与电氢混合储能系统的装机比例为1∶0.27。风-光-电氢混合储能系统在经济性和稳定性上优于风-光-单一储能系统。【结论】所提方法在优化系统联合最优成本的同时,还能够有效降低负荷峰谷差、配电网网损并提高电能质量。 展开更多
关键词 风电 光伏 氢能 储能 多能互补 容量配置 功率分配 双层优化模型 多微电网
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水风光多能互补系统多目标优化调度研究进展 被引量:1
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作者 张验科 郭合斌 +1 位作者 卢垚键 武文龙 《水利水电快报》 2025年第10期101-109,共9页
水风光多能互补是构建新型电力系统、实现“双碳”目标的重要途径之一。通过发挥水能、风能与太阳能在时间与空间上的互补特性,可有效提升新能源的消纳能力与利用效率。系统梳理了水风光多能互补系统多目标优化调度的研究进展。首先,从... 水风光多能互补是构建新型电力系统、实现“双碳”目标的重要途径之一。通过发挥水能、风能与太阳能在时间与空间上的互补特性,可有效提升新能源的消纳能力与利用效率。系统梳理了水风光多能互补系统多目标优化调度的研究进展。首先,从水风光多能互补系统的组成结构及其协同机制出发,深入分析了梯级水电在平抑风光出力波动、增强系统调节能力方面的关键作用;其次,围绕水风光多能互补系统多目标调度的建模方法、智能优化算法及出力不确定性处理策略,归纳总结了当前在提升发电效益、增强出力平稳性及满足生态约束等方面的研究成果与工程实践;最后,针对现有研究中存在的问题与挑战,探讨了未来的研究方向,以期为中国风光资源的高效利用、清洁能源基地的优化开发及能源结构转型提供参考。 展开更多
关键词 水风光多能互补系统 多目标优化调度 梯级水电 新能源
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变节点余能原理基面力元法单元模型性能研究
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作者 王耀 胥民尧 +1 位作者 纵岗 侯长超 《应用数学和力学》 北大核心 2025年第3期353-370,共18页
为了解决疏密单元网格交界面节点位移不协调、求解方程构造复杂及空间可扩展性能差的问题,基于余能原理基面力元法提出了一种可变节点数量及位置的单元模型,并针对任意单元类型建立了一种具有统一形式的显式求解方法.首先,建立了一种二... 为了解决疏密单元网格交界面节点位移不协调、求解方程构造复杂及空间可扩展性能差的问题,基于余能原理基面力元法提出了一种可变节点数量及位置的单元模型,并针对任意单元类型建立了一种具有统一形式的显式求解方法.首先,建立了一种二维可变边中节点单元模型,介绍了边中节点的柔度贡献矩阵及节点位移显式表达式;随后,将该模型扩展到三维层次,建立了一种可变面中节点单元模型,并将节点柔度贡献矩阵及节点位移表达式扩展到三维单元.基于上述模型,建立了平面及空间问题的疏密网格悬挂单元模型,并通过端部承受弯矩荷载、集中荷载及拉伸荷载的悬臂梁算例,论证了平面及空间可变节点单元模型、疏密网格悬挂单元模型的数值精度和适用性.研究表明,基于余能原理基面力元法建立的平面及空间可变节点单元模型具有较高的数值精度;此外,疏密网格之间的交界面无需进行任何处理措施,也无需构造插值函数或约束函数,仅依靠疏密网格交界面共用的边中节点(2D)及面中节点(3D)即可确保疏密网格交界面的节点位移协调;同时,模型和方法独立于单元类型、单元维度、节点数量及分布等因素,具有优异的空间可扩展性能及易于程序化的特点. 展开更多
关键词 基面力元法 变节点单元 余能原理 悬挂单元模型
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混合元分裂因子的取值与层合板静力学问题分析
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作者 黄选红 王永钢 《复合材料科学与工程》 北大核心 2025年第4期47-56,共10页
相对于传统的混合变分原理,带有分裂因子的广义混合变分原理的优越性非常明显。目前,广义混合元模型中分裂因子值的选取是一个开放性问题。基于线弹性问题的应变能等于余能且应变能和余能分别等于混合能量的一半的理论,提出了一种选择... 相对于传统的混合变分原理,带有分裂因子的广义混合变分原理的优越性非常明显。目前,广义混合元模型中分裂因子值的选取是一个开放性问题。基于线弹性问题的应变能等于余能且应变能和余能分别等于混合能量的一半的理论,提出了一种选择分裂因子的误差分析方法。该方法为获取协调广义混合元的适当分裂因子提供了新的途径。数值实例分析表明,通过本文方法获得的协调混合元的分裂因子值,同样适用于3D复合材料层合板问题的求解,且在网格模型相同的情下,可获得更精确的数值结果。 展开更多
关键词 广义混合元 分裂因子 应变能 余能 复合材料
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