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Optimal Multi-Timescale Scheduling of Integrated Energy Systems with Hybrid Energy Storage System Based on Lyapunov Optimization
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作者 Yehui Ma Dong Han Zhuoxin Lu 《Journal of Beijing Institute of Technology》 EI CAS 2024年第5期465-480,共16页
The economic operation of integrated energy system(IES)faces new challenges such as multi-timescale characteristics of heterogeneous energy sources,and cooperative operation of hybrid energy storage system(HESS).To th... The economic operation of integrated energy system(IES)faces new challenges such as multi-timescale characteristics of heterogeneous energy sources,and cooperative operation of hybrid energy storage system(HESS).To this end,this paper investigates the multi-timescale rolling opti-mization problem for IES integrated with HESS.Firstly,the architecture of IES with HESS is established,a comparative analysis is conducted to evaluate the advantages of the HESS over a single energy storage system(SESS)in stabilizing power fluctuations.Secondly,the dayahead and real-time scheduling cost functions of IES are established,the day-ahead scheduling mainly depends on operation costs of the components in IES,the real-time optimal scheduling adopts the Lya-punov optimization method to schedule the battery and hydrogen energy storage in each time slot,so as to minimize the real-time average scheduling operation cost,and the problem of day-ahead and real-time scheduling error,which caused by the uncertainty of the energy storage is solved by online optimization.Finally,the proposed model is verified to reduce the scheduling operation cost and the dispatching error by performing an arithmetic example analysis of the IES in Shanghai,which provides a reference for the safe and stable operation of the IES. 展开更多
关键词 integrated energy systems multiple time scales hybrid energy storage systems Lya-punov optimization
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STABILITY ANALYSIS OF CAUSAL INTEGRAL EVOLUTION IMPULSIVE SYSTEMS ON TIME SCALES
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作者 Jiafa XU Bakhtawar PERVAIZ +1 位作者 Akbar ZADA Syed Omar SHAH 《Acta Mathematica Scientia》 SCIE CSCD 2021年第3期781-800,共20页
In this article,we present the existence,uniqueness,Ulam-Hyers stability and Ulam-Hyers-Rassias stability of semilinear nonautonomous integral causal evolution impulsive integro-delay dynamic systems on time scales,wi... In this article,we present the existence,uniqueness,Ulam-Hyers stability and Ulam-Hyers-Rassias stability of semilinear nonautonomous integral causal evolution impulsive integro-delay dynamic systems on time scales,with the help of a fixed point approach.We use Gronwall’s inequality on time scales,an abstract Growall’s lemma and a Picard operator as basic tools to develop our main results.To overcome some difficulties,we make a variety of assumptions.At the end an example is given to demonstrate the validity of our main theoretical results. 展开更多
关键词 time scale Ulam-Hyers stability impulsES semilinear nonautonomous system Gr?nwall’s inequality dynamic system
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Finite time stability and stabilization of hybrid dynamic systems
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作者 Guopei Chen Junmin Li Ying Yang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第6期1084-1089,共6页
Finite time stability and stabilization are studied for hy-brid dynamic systems. By combining multiple Lyapunov function and finite time Lyapunov function, a sufficient condition of finite time stability is given for ... Finite time stability and stabilization are studied for hy-brid dynamic systems. By combining multiple Lyapunov function and finite time Lyapunov function, a sufficient condition of finite time stability is given for the system. Compared with the previ-ous works, our results have less conservativeness. Furthermore, based on the state partition of continuous and resetting parts of system, a hybrid feedback controller is constructed, which stabi-lizes the closed-loop systems in finite time. Finally, a numerical example is provided to demonstrate the effectiveness of the pro-posed method. 展开更多
关键词 hybrid dynamic systems multiple Lyapunov function finite time Lyapunov function STABILITY stabilization.
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Impulsive Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on the Unification of Discrete and Continuous Systems 被引量:1
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作者 Ayse Feza Güvenilir Billur Kaymakcalan Neslihan Nesliye Pelen 《Applied Mathematics》 2015年第9期1649-1664,共16页
In this study, the impulsive predator-prey dynamic systems on time scales calculus are studied. When the system has periodic solution is investigated, and three different conditions have been found, which are necessar... In this study, the impulsive predator-prey dynamic systems on time scales calculus are studied. When the system has periodic solution is investigated, and three different conditions have been found, which are necessary for the periodic solution of the predator-prey dynamic systems with Beddington-DeAngelis type functional response. For this study the main tools are time scales calculus and coincidence degree theory. Also the findings are beneficial for continuous case, discrete case and the unification of both these cases. Additionally, unification of continuous and discrete case is a good example for the modeling of the life cycle of insects. 展开更多
关键词 time scales Calculus Predator-Prey dynamic systems Periodic Solutions Coincidence Degree Theory Beddington-DeAngelis Type Functional Response
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Global exponentially stability for time-delay and time-varying measure large scale systems with impulsive effects
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作者 刘云龙 高存臣 +1 位作者 李云艳 刘现明 《中南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2009年第S1期175-180,共6页
The global exponentially stability was studied for time-delay and time-varying measure large scale systems with impulsive effects. Firstly, the concepts are drawn for the functional category. Secondly, some sufficient... The global exponentially stability was studied for time-delay and time-varying measure large scale systems with impulsive effects. Firstly, the concepts are drawn for the functional category. Secondly, some sufficient conditions of the uniformly stability and the global exponentially stability are given for the above systems through defining a Lyapunov function of the weighting sum of the variable absolute by using the Lyapunov function method and the comparison principle. At the same time, the new conclusion of stability of these systems is more universal and contains the existing results. Finally, an example is given to illustrate the feasibility and validity of the obtained results. 展开更多
关键词 distributional DERIVATIVE time-DELAY MEASURE large scale systems impulsive GLOBAL EXPONENTIALLY stability
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Simulation of large-scale numerical substructure in real-time dynamic hybrid testing 被引量:7
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作者 Zhu Fei Wang Jinting +2 位作者 Jin Feng Zhou Mengxia Gui Yao 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2014年第4期599-609,共11页
A solution scheme is proposed in this paper for an existing RTDHT system to simulate large-scale finite element (FE) numerical substructures. The analysis of the FE numerical substructure is split into response anal... A solution scheme is proposed in this paper for an existing RTDHT system to simulate large-scale finite element (FE) numerical substructures. The analysis of the FE numerical substructure is split into response analysis and signal generation tasks, and executed in two different target computers in real-time. One target computer implements the response analysis task, wherein a large time-step is used to solve the FE substructure, and another target computer implements the signal generation task, wherein an interpolation program is used to generate control signals in a small time-step to meet the input demand of the controller. By using this strategy, the scale of the FE numerical substructure simulation may be increased significantly. The proposed scheme is initially verified by two FE numerical substructure models with 98 and 1240 degrees of freedom (DOFs). Thereafter, RTDHTs of a single frame-foundation structure are implemented where the foundation, considered as the numerical substructure, is simulated by the FE model with 1240 DOFs. Good agreements between the results of the RTDHT and those from the FE analysis in ABAQUS are obtained. 展开更多
关键词 real-time dynamic hybrid testing large-scale numerical substructure control signal generation finite element simulation
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Use of Dynamical Systems Modeling to Hybrid Cloud Database 被引量:1
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作者 Evgeniy V. Pluzhnik Evgeny V. Nikulchev 《International Journal of Communications, Network and System Sciences》 2013年第12期505-512,共8页
In the article, an experiment is aimed at clarifying the transfer efficiency of the database in the cloud infrastructure. The system was added to the control unit, which has guided the database search in the local par... In the article, an experiment is aimed at clarifying the transfer efficiency of the database in the cloud infrastructure. The system was added to the control unit, which has guided the database search in the local part or in the cloud. It is shown that the time data acquisition remains unchanged as a result of modification. Suggestions have been made about the use of the theory of dynamic systems to hybrid cloud database. The present work is aimed at attracting the attention of specialists in the field of cloud database to the apparatus control theory. The experiment presented in this article allows the use of the description of the known methods for solving important practical problems. 展开更多
关键词 hybrid CLOUD DATABASE CLOUD COMPUTING time of QUERY dynamicAL systems Control THEORY
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Methods of reduction for Lagrange systems on time scales with nabla derivatives 被引量:4
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作者 Shi-Xin Jin Yi Zhang 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第1期243-249,共7页
The Routh and Whittaker methods of reduction for Lagrange system on time scales with nabla derivatives are studied.The equations of motion for Lagrange system on time scales are established, and their cyclic integrals... The Routh and Whittaker methods of reduction for Lagrange system on time scales with nabla derivatives are studied.The equations of motion for Lagrange system on time scales are established, and their cyclic integrals and generalized energy integrals are given. The Routh functions and Whittaker functions of Lagrange system are constructed, and the order of differential equations of motion for the system are reduced by using the cyclic integrals or the generalized energy integrals with nabla derivatives. The results show that the reduced Routh equations and Whittaker equations hold the form of Lagrnage equations with nabla derivatives. Finally, two examples are given to illustrate the application of the results. 展开更多
关键词 reduction of dynamical system cyclic integral energy integral time scales
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On the conjunction practical stability and controllability of large-scale impulsive control systems
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作者 Dilan GHEN Jitao SUN 《控制理论与应用(英文版)》 EI 2005年第2期181-185,共5页
We studied the conjunction practical stability and controllability of large-scale impulsive control systems by using the comparison systems and vector Lyapunov fimctions. Then the less conservative sufficient conditio... We studied the conjunction practical stability and controllability of large-scale impulsive control systems by using the comparison systems and vector Lyapunov fimctions. Then the less conservative sufficient conditions for conjunction practical stability and controllability of large-scale impulsive control system were obtained. 展开更多
关键词 Large-scale impulsive dynamic system impulsive control Conjunction practical stability CONTROLLABILITY
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Dynamic interaction numerical models in the time domain based on the high performance scaled boundary finite element method 被引量:3
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作者 Li Jianbo Liu Jun Lin Gao 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2013年第4期541-546,共6页
Consideration of structure-foundation-soil dynamic interaction is a basic requirement in the evaluation of the seismic safety of nuclear power facilities. An efficient and accurate dynamic interaction numerical model ... Consideration of structure-foundation-soil dynamic interaction is a basic requirement in the evaluation of the seismic safety of nuclear power facilities. An efficient and accurate dynamic interaction numerical model in the time domain has become an important topic of current research. In this study, the scaled boundary finite element method (SBFEM) is improved for use as an effective numerical approach with good application prospects. This method has several advantages, including dimensionality reduction, accuracy of the radial analytical solution, and unlike other boundary element methods, it does not require a fundamental solution. This study focuses on establishing a high performance scaled boundary finite element interaction analysis model in the time domain based on the acceleration unit-impulse response matrix, in which several new solution techniques, such as a dimensionless method to solve the interaction force, are applied to improve the numerical stability of the actual soil parameters and reduce the amount of calculation. Finally, the feasibility of the time domain methods are illustrated by the response of the nuclear power structure and the accuracy of the algorithms are dynamically verified by comparison with the refinement of a large-scale viscoelastic soil model. 展开更多
关键词 time domain analysis dynamic interaction acceleration impulse response function scaled boundary finiteelement method viscoelastic boundary
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Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal
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作者 Giuseppe Grassi 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第6期94-99,共6页
In this paper we present a new projective synchronization scheme, where two chaotic (hyperchaotic) discrete-time systems synchronize for any arbitrary scaling matrix. Specifically, each drive system state synchroniz... In this paper we present a new projective synchronization scheme, where two chaotic (hyperchaotic) discrete-time systems synchronize for any arbitrary scaling matrix. Specifically, each drive system state synchronizes with a linear combination of response system states. The proposed observer-based approach presents some useful features: i) it enables exact synchronization to be achieved in finite time (i.e., dead-beat synchronization); ii) it exploits a scalar synchronizing signal; iii) it can be applied to a wide class of discrete-time chaotic (hyperchaotic) systems; iv) it includes, as a particular case, most of the synchronization types defined so far. An example is reported, which shows in detail that exact synchronization is effectively achieved in finite time, using a scalar synchronizing signal only, for any arbitrary scaling matrix. 展开更多
关键词 chaos synchronization full-state hybrid projective synchronization observer-based syn-chronization chaotic discrete-time systems dead beat control attractor scaling
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Dynamics for a hybrid non-autonomous prey-predator system with generalist predator and impulsive conditions on time scales
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作者 Anil Kumar Muslim Malik Yun Kang 《International Journal of Biomathematics》 SCIE 2023年第1期157-182,共26页
In this paper,we investigate the dynamical behavior for a hybrid non-autonomous predator-prey system with Holling Type II functional response,impulsive effects and generalist predator on time scales,where our proposed... In this paper,we investigate the dynamical behavior for a hybrid non-autonomous predator-prey system with Holling Type II functional response,impulsive effects and generalist predator on time scales,where our proposed model commutes between a continuous-time dynamical system and discrete-time dynamical system.By using com--parison theorems,we first study the permanence results of the proposed model.Also,we established the uniformly asymptotic stability for the almost periodic solution of the proposed model.Finally,in the last section,we provide some examples with numerical simulation. 展开更多
关键词 hybrid non-autonomous prey-predator system Lyapunov functional impulsive effect time scales
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Decentralized Stabilization of Large-scale Uncertain Systems with State-Delays——LMIs Approach
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作者 程储旺 张美芬 汤兵勇 《Journal of China Textile University(English Edition)》 EI CAS 1999年第4期60-65,共6页
This paper deals with the problem of decentralized robustcontrol for a class of interconnected uncertain systemswith state delays.The parameter uncertainties are un-known but norm-bounded.A new sufficient condition is... This paper deals with the problem of decentralized robustcontrol for a class of interconnected uncertain systemswith state delays.The parameter uncertainties are un-known but norm-bounded.A new sufficient condition isobtained for each subsystem and overall system to be sta-bilizable via linear memoryless state feedback robust de-centralized controllers.The results depend on the size of the delays and are given in terms of linear matrix ine-qualities,so they are less conservative than those of delay-independent.Moreover,matching condition is not a necessary condition.Finally,an example is presented to illustrative the effectiveness of the proposed method. 展开更多
关键词 Decentralized CONTROL robust CONTROL time de-lay uncertain dynamic systems large - scale systems
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A Paradoxical Consistency Between Dynamic and Conventional Derivatives on Hybrid Grids
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作者 Qin Sheng 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2008年第2期198-213,共16页
It has been evident that the theory and methods of dynamic derivatives are playing an increasingly important role in hybrid modeling and computations. Being constructed on various kinds of hybrid grids, that is, tim... It has been evident that the theory and methods of dynamic derivatives are playing an increasingly important role in hybrid modeling and computations. Being constructed on various kinds of hybrid grids, that is, time scales, dynamic derivatives offer superior accuracy and flexibility in approximating mathematically important natural processes with hard-to-predict singularities, such as the epidemic growth with unpredictable jump sizes and option market changes with high uncertainties, as compared with conventional derivatives. In this article, we shall review the novel new concepts, explore delicate relations between the most frequently used second-order dynamic derivatives and conventional derivatives. We shall investigate necessary conditions for guaranteeing the consistency between the two derivatives. We will show that such a consistency may never exist in general. This implies that the dynamic derivatives provide entirely different new tools for sensitive modeling and approximations on hybrid grids. Rigorous error analysis will be given via asymptotic expansions for further modeling and computational applications. Numerical experiments will also be given. 展开更多
关键词 dynamic derivatives conventional derivatives time scale theory APPROXIMATIONS error estimates hybrid grids uniform and nonuniform grids asymptotic expansions
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GENERALIZED DHALQUIST CONSTANT WITH APPLICATION IN STABLE ANALYSIS FOR DYNAMIC SYSTEMS ON TIME SCALES
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作者 Qunli Zhang 《Annals of Differential Equations》 2013年第2期248-252,共5页
A novel and effective approach to exponentially stable analysis for dynamic systems on time scales is investigated using the nonlinear operator named the generalized Dahlquist constant in this paper, and simple yet ge... A novel and effective approach to exponentially stable analysis for dynamic systems on time scales is investigated using the nonlinear operator named the generalized Dahlquist constant in this paper, and simple yet generic criteria are derived ensuring the robust stability. 展开更多
关键词 dynamic system time scales generalized Dahlquist constant exponentially stable impulsive control
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Multi-time scale dynamics in power electronics-dominated power systems 被引量:1
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作者 Xiaoming YUAN Jiabing HU Shijie CHENG 《Frontiers of Mechanical Engineering》 SCIE CSCD 2017年第3期303-311,共9页
Electric power infrastructure has recently undergone a comprehensive transformation from electromagnetics to semiconductors. Such a development is attributed to the rapid growth of power electronic converter applicati... Electric power infrastructure has recently undergone a comprehensive transformation from electromagnetics to semiconductors. Such a development is attributed to the rapid growth of power electronic converter applications in the load side to realize energy conservation and on the supply side for renewable generations and power transmissions using high voltage direct current transmission. This transformation has altered the fundamental mechanism of power system dynamics, which demands the establishment of a new theory for power system control and protection. This paper presents thoughts on a theoretical framework for the coming semiconducting power systems. 展开更多
关键词 power electronics power systems multi-time scale dynamics mass-spring-damping model self-stabilizing and en-stabilizing property multi-time scale power system stabilizer
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EXISTENCE OF POSITIVE SOLUTIONS TO A SYSTEM OF DYNAMIC EQUATIONS WITH PARAMETERS ON TIME SCALES 被引量:1
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作者 Jinjun Fan Liqing Li 《Annals of Differential Equations》 2013年第3期277-287,共11页
In this paper, we consider a three-point boundary value problem for a system of dynamic equations with parameters on time scales. Applying fixed point theorems,we give the existence of positive solutions to the proble... In this paper, we consider a three-point boundary value problem for a system of dynamic equations with parameters on time scales. Applying fixed point theorems,we give the existence of positive solutions to the problem. Examples are also included to illustrate our results. 展开更多
关键词 positive solutions time scales dynamic equations system fixed point theorem
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Study on Variation of Parameters Formula and Stability for Impulsive Time-Delay Nonlinear Large Scale Systems
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作者 GUAN Zhihong(Dept.of Basic Science,Jianghan Petroleum Institute,Hubei 434102,China)LIU Yongqing(Dept.of Automation,South China Univ.of Technology,Guangzhou 510641, China) 《Systems Science and Systems Engineering》 CSCD 1996年第1期9-23,共15页
This work concerns the representation and stability properties of impulsive solutions for a class of time-delay and measure nonlinear large scale systems. On the basis of fundamental solution of the correspollding ord... This work concerns the representation and stability properties of impulsive solutions for a class of time-delay and measure nonlinear large scale systems. On the basis of fundamental solution of the correspollding ordinary time-delay nonlinear large scale systems is established.By lumped Picard and Gauss-Seidel iteration methods which avoided the difficulties of constructing lyapunov functin, the explicit algebraic criteria of exponential stability for the impulsive and time-delay system are obtained. 展开更多
关键词 impulsive time-delay systems nonlinear large scale systems variation of parameters formula exponential stability.
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Understanding the Dynamics Location of Very Large Populations Interacted with Service Points
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作者 Rola Younis Masoud Mohammed Mohammad Asif Salam 《Open Journal of Modelling and Simulation》 2023年第3期60-87,共28页
This paper offers preliminary work on system dynamics and Data mining tools. It tries to understand the dynamics of carrying out large-scale events, such as Hajj. The study looks at a large, recurring problem as a var... This paper offers preliminary work on system dynamics and Data mining tools. It tries to understand the dynamics of carrying out large-scale events, such as Hajj. The study looks at a large, recurring problem as a variable to consider, such as how the flow of people changes over time as well as how location interacts with placement. The predicted data is analyzed using Vensim PLE 32 modeling software, GIS Arc Map 10.2.1, and AnyLogic 7.3.1 software regarding the potential placement of temporal service points, taking into consideration the three dynamic constraints and behavioral aspects: a large population, limitation in time, and space. This research proposes appropriate data analyses to ensure the optimal positioning of the service points with limited time and space for large-scale events. The conceptual framework would be the output of this study. Knowledge may be added to the insights based on the technique. 展开更多
关键词 Information on Geographic systems (GIS) Large-scale Events Hajj Pilgrimage Data Mining Tools system dynamics Agent-Based Modeling Discrete-time Event
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Economic optimization on two time scales for a hybrid energy system based on virtual storage 被引量:7
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作者 Jingjie YANG Bingqing GUO Bo QU 《Journal of Modern Power Systems and Clean Energy》 SCIE EI 2018年第5期1004-1014,共11页
This paper proposes an economic optimization method with two time scales for a hybrid energy system based on the virtual storage characteristic of a thermostatically controlled load(TCL). The optimization process incl... This paper proposes an economic optimization method with two time scales for a hybrid energy system based on the virtual storage characteristic of a thermostatically controlled load(TCL). The optimization process includes two time scales in order to ensure accuracy and efficiency. Based on the forecast load and energy supply of the system, the first time scale is day-ahead economic operating optimization, carried out to determine the minimum operating cost for the whole day, and to find the period of greatest cost to which the second time scale optimization is applied. Using the virtual storage characteristic, the second time scale is short-term detailed optimization carried out for these particular hours. By dispatching thermal load in this period and adjusting energy supply accordingly, we can find the optimal economic performance, and customer requests are taken into account to ensure satisfaction. A case study in Tianjin, China illustrates the effectiveness of this method and proves that a TCL can make a great contribution to improving the economic performance of a hybrid energy system. 展开更多
关键词 ECONOMIC optimization hybrid energy system Virtual storage TWO time scales HEATING ventilation and air conditioning(HVAC) system
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