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Impact of Electric Vehicle Aggregator with Communication Time Delay on stability regions and stability Delay Margins in Load Frequency Control System

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Journal of Modern Power Systems and Clean Energy 2021年第3期9卷 595-601页

作者： Ausnain Naveed Sahin Sonmez Saffet Ayasun the Department of Electrical and Electronic Engineering Nigde Omer Halisdemir UniversityNigdeTurkey the Department of Electrical and Electronic Engineering Gazi UniversityAnkaraTurkey

This paper investigates the impact of electric vehicle(EV)aggregator with communication time delay on stability regions and stability delay margins of a single-area load frequency control(LFC)system.Primarily,a graphical method characterizing stability boundary locus is implemented.For a given time delay,the method computes all the stabilizing proportional-integral(PI)controller gains,which constitutes a stability region in the parameter space of PI controller.Secondly,in order to complement the stability regions,a frequency-domain exact method is used to calculate stability delay margins for various values of PI controller gains.The qualitative impact of EV aggregator on both stability regions and stability delay margins is thoroughly analyzed and the results are authenticated by time-domain simulations and quasi-polynomial mapping-based root finder(QPmR)algorithm.

关键词： Communication time delay electric vehicle(EV)aggregator frequency regulation proportional-integral(PI)controller design stability delay margin stability region

Optimal Robust Control for Unstable Delay System

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Computer Systems Science & Engineering 2021年第2期36卷 307-321页

作者： Rihem Farkh Khaled A.Aljaloud Moufida Ksouri Faouzi Bouani King Saud University Riyadh11451Saudi Arabia Laboratory for Analysis Conception and Control of SystemsLR-11-ES20Department of Electrical EngineeringNational Engineering School of TunisTunis El Manar UniversityTunis1002Tunisia

Proportional-Integral-Derivative control system has been widely used in industrial applications.For uncertain and unstable systems,tuning controller parameters to satisfy the process requirements is very challenging.In general,the whole system’s performance strongly depends on the controller’s efficiency and hence the tuning process plays a key role in the system’s response.This paper presents a robust optimal Proportional-Integral-Derivative controller design methodology for the control of unstable delay system with parametric uncertainty using a combination of Kharitonov theorem and genetic algorithm optimization based approaches.In this study,the Generalized Kharitonov Theorem(GKT)for quasi-polynomials is employed for the purpose of designing a robust controller that can simultaneously stabilize a given unstable second-order interval plant family with time delay.Using a constructive procedure based on the Hermite-Biehler theorem,we obtain all the Proportional-Integral-Derivative gains that stabilize the uncertain and unstable second-order delay system.Genetic Algorithms(GAs)are utilized to optimize the three parameters of the PID controllers and the three parameters of the system which provide the best control that makes the system robust stable under uncertainties.Specifically,the method uses genetic algorithms to determine the optimum parameters by minimizing the integral of time-weighted absolute error ITAE,the Integral-Square-Error ISE,the integral of absolute error IAE and the integral of time-weighted Square-Error ITSE.The validity and relatively effortless application of presented theoretical concepts are demonstrated through a computation and simulation example.

关键词： Unstable time-delay system interval plants generalized Kharitonov theorem PID controller Hermite-Biehler theorem stability region genetic algorithms optimum PID controller optimum system parameters

Dynamical Behavior and Singularities of a Single-machine Infinite-bus Power System

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Acta Mathematicae Applicatae Sinica 2004年第3期20卷 457-476页

作者： Jin-liangWang Sheng-weiMei QiangLu TeoKok-lay DepartmentofMathematics&LIMBoftheMinistryofEducation BeijingUniversityofAeronautandAstronautBeijing100083China DepartmentofElectricalEngineering TsinghuaUniversityBeijing100084China DepartmentofAppliedMathematics HongKongPolytechnicUniversityHongKong

This paper uses the geometric singular perturbation theory to investigate dynamical behaviors and singularities in a fundamental power system presented in a single-machine infinite-bus formulation. The power system can be approximated by two simplified systems S and F, which correspond respectively to slow and fast subsystems. The singularities, including Hopf bifurcation (HB), saddle-node bifurcation (SNB) and singularity induced bifurcation (SIB), are characterized. We show that SNB occurs at P Tc = 3.4382, SIB at P T0 = 2.8653 and HB at P Th = 2.802 for the singular perturbation system. It means that the power system will collapse near SIB which precedes SNB and that the power system will oscillate near HB which precedes SIB. In other words, the power system will lose its stability by means of oscillation near the HB which precedes SIB and SNB as P T is increasing to a critical value. The boundary of the stability region of the system can be described approximately by a combination of boundaries of the stability regions of the fast subsystem and slow subsystem.

关键词： Singular perturbation saddle-node bifurcation Hopf bifurcation singularity induced bifurcation power system stability stability region

A Modified Model Predictive Control Scheme

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International Journal of Automation and computing 2005年第1期2卷 101-106页

作者： Xiao-Bing Hu Wen-Hua Chen Department of Aeronautical and Automotive Engineering Loughborough University Loughborough UK

In implementations of MPC (Model Predictive Control) schemes, two issues need to be addressed. One is how to enlarge the stability region as much as possible. The other is how to guarantee stability when a computational time limitation exists. In this paper, a modified MPC scheme for constrained linear systems is described. An offline LMI-based iteration process is introduced to expand the stability region. At the same time, a database of feasible control sequences is generated offline so that stability can still be guaranteed in the case of computational time limitations. Simulation results illustrate the effectiveness of this new approach. Keywords Model predictive control - linear matrix inequality - stability region - terminal region - feasibility Xiao-Bing Hu received the B.S. degree in Aviation Electronic Engineering at Civil Aviation Institute of China, Tianjin, China, in 1998, the M.S. degree in Automatic Control Engineering at Nanjing University of Aeronautics & Astronautics, Nanjing, China, in 2001, and the Ph.D. degree in Aeronautical and Automotive Engineering at Loughborough University, UK, in 2005.He is currently a Research Fellow in Department of Informatics at Sussex University, UK. His major field of research includes predictive control, artificial intelligence, air traffic management, and flight control. Wen-Hua Chen received his MSc and Ph.D. degrees from Department of Automatic Control at Northeast University, China, in 1989 and 1991, respectively.From 1991 to 1996, he was a Lecturer in Department of Automatic Control at Nanjing University of Aeronautics & Astronautics, China. He held a research position and then a Lectureship in Control Engineering in Center for Systems and Control at University of Glasgow, UK, from 1997 to 2000. He holds a Lectureship in Flight Control Systems in Department of Aeronautical and Automotive Engineering at Loughborough University, UK. He has published one book and more than 60 papers on journals and conferences. His research interests are the developm

关键词： Model predictive control linear matrix inequality stability region terminal region feasibility

多项式族的Hurwitz稳定性分析(英文)

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哈尔滨工业大学学报 1993年第2期25卷 127-128页

作者：段广仁王民智哈尔滨工业大学控制工程系

In this note,some new developments concerning the problem of stability analysis

关键词： Hurwitz stability stability region boundary theorem projective boundary theorem

On the Estimation of stability Boundaries of Nonlinear Dynamic Systems

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On the Estimation of Stability Boundaries of Nonlinear Dynam...

Singularities and stability regions of a Single-Machine Infinite-Bus Power System

2011 Chinese Control and Decision Conference（CCDC）

作者： Feng Liu,Wei Wei,and Shengwei Mei the State Key Laboratory of Power Systems,Department of Electrical Engineering and Applied Electronic Technology,Tsinghua University,100084 Beijing,China.

The expansion methodology monotonically enlarges the estimated stability region of a general system so that the true stability boundary can be approached.It has advantages to reduce the conservativeness of the general system and to construct feasible algorithms for large-scale and complicated systems.Our paper provides fundamentals for the expansion theory of stability region estimation,locally and globally.It shows how the initial level set of energy function can be expanded via the diffeomorphism defined by the flow map so that the level set can approach to the exact boundary,even when the initial level set is not entirely within the true stability region.Such a generalization can broaden the valid scope to which the expansion approach can be applied.In addition,the rigorous topological characteristics of the determined local and global boundaries by such expansion are presented substantially.This provides a theoretical justification for the use of expansion schemes for those local estimation methods based on energy function,such as the Controlling Unstable Equilibrium Point （CUEP） method.The theoretical results also indicate that the estimation conservativeness of the conventional methods based on energy function can be significantly reduced.Finally,the proposed theory is tested on a simplified three-machine power system to verify its validation.

关键词： nonlinear system energy function stability region

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Singularities and Stability Regions of a Single-Machine Infi...

Attractive region of Discrete Singular Systems with the Delay

第二十二届中国控制会议

作者： Teo Kolday Department of Applied Mathematics The Hong Kong Polytechnic UniversityHong Kong

This paper uses the geometric singular perturbation theory to investigate dynamical behaviors and singularities in a fundamental power system .The singularities, including Hopf bifurcation (HB), saddle-node bifurcation (SNB)and singularity induced bifurcation(SIB),are characterized. We show that SNB occurs at PTc=3.4382, SIB at PT0=2.8653 and HB at PTh=2.802 for the singular perturbation system. It means that the power system will lose its stability by means of oscillation near the HB which precedes SIB and SNB as Pt is increasing to a critical value. The boundary of the stability regions of the fast subsystem and slow subsystem.

关键词： Singular perturbation Saddle-node bifurcation Hopf bifurcation Singularity induced bifurcation Power system stability stability region

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Attractive Region of Discrete Singular Systems with the Dela...