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SENSITIVITY-REDUCED OPTIMAL DISCRETE LINEAR REGULATOR WITH PRESCRIBED closed-loop eigenvalues

IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS 1985年第1期132卷 18-24页

作者： GOPAL, M NAIR, PP Department of Electrical Engineering Indian Institute of Technology New Delhi India

A method is proposed for the design of constant-gain optimal feedback control laws for discrete-time systems, which reduce trajectory sensitivity to small system parameter variations and ensure the closed-loop eigenvalues at the prescribed locations. The selected performance index is of standard linear regulator type, modified to include a quadratic sensitivity term. An efficient computational procedure, based on direct cost optimisation and using a gradient-type algorithm, is also reported. A case study of a boiling-water reactor power plant has been presented to illustrate the application of the design procedure.

关键词： discrete time systems eigenvalues and eigenfunctions optimal control performance index Discrete control systems sensitivity reduced systems Optimal control linear systems constant-gain optimal feedback control laws control system synthesis discrete-time systems closed-loop eigenvalues feedback Control system analysis and synthesis methods linear regulator

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AN ALGORITHM USING THE HR PROCESS FOR SOLVING THE closed-loop eigenvalues OF A DISCRETE-TIME ALGEBRAIC RICCATI EQUATION

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 1994年第8期39卷 1682-1685页

作者： LU, LZ JI, XZ JIANG, H UNIV WATERLOO DEPT COMP SCIWATERLOO N2L 3G1ONTARIOCANADA

In this paper we present a numerical approach to the closed-loop spectrum of a discrete-time algebraic Riccati equation. The concerned symplectic pencil N - lambdaL is proven to be equivalent to the pencil P - lambdaQ, where P is skew -symmetric and Q is symmetric. Then, the HR process, which can be viewed as a generalization of the QR method, is applied to compute the eigenvalue of P - lambdaQ. Some numerical examples are included.

关键词： difference equations eigenvalues and eigenfunctions matrix algebra nonlinear differential equations optimal control HR process QR method closed-loop eigenvalues closed-loop spectrum discrete-time algebraic Riccati equation numerical approach symplectic p matrix algebra nonlinear differential equations Optimal control Eigenfunctions Riccati equations closed loop pencil Difference equation discrete-time skew-symmetry Heart Rate

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Optimal Automatic Generation Control of Asynchronous Power Systems Using Output Feedback Control Strategy with Dynamic Participation of Wind Turbines

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ELECTRIC POWER COMPONENTS AND SYSTEMS 2015年第4期43卷 384-398页

作者： Sharma, Gulshan Nasiruddin, Ibraheem Niazi, Khaleequr Rehman Malaviya Natl Inst Technol Dept Elect Engn Jaipur Rajasthan India Qassim Univ Qassim Engn Coll Dept Elect Engn Buraydah Saudi Arabia

Abstract-This article presents the design of optimal output feedback automatic generation control regulators for an interconnected power system with dynamic participation of doubly fed induction generator based wind turbines. The power systems consist of plants with hydro-thermal turbines and are interconnected via parallel AC/DC links. Efforts have been made to propose optimal automatic generation control regulators based on feedback of output state variables, which are easily accessible and available for the measurement. The designed optimal output feedback automatic generation control regulators are implemented, and the system dynamic responses for various system states are obtained considering 1% load perturbation in one of the areas. The dynamic performance is compared with that obtained with optimal automatic generation control regulators designed using full state vector feedback. The pattern of closed-loop eigenvalues is also determined to test the system stability.

关键词： area control error output feedback doubly fed induction generator closed-loop eigenvalues optimal automatic generation control regulators automatic generation control

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Optimal Output Vector Feedback Control Strategy for Wind Power Systems

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ELECTRIC POWER COMPONENTS AND SYSTEMS 2015年第8-10期43卷 1122-1132页

作者： Khatoon, Shahida Nasiruddin, Ibraheem Ehtesham, Reshma Bansal, Ramesh C. Jamia Millia Islamia Dept Elect Engn New Delhi 110025 India Qassim Univ Dept Elect Engn Al Qassim Saudi Arabia Univ Pretoria Dept Elect Elect & Comp Engn ZA-0028 Pretoria South Africa

This article presents the design of optimal output feedback controllers to enhance the dynamic performance of wind turbine generator supplying an infinite bus through transmission line. Efforts have been made to propose optimal regulators based on feedback of output state variables, which are easily accessible and available for the measurement. The designed optimal output feedback controllers are implemented in the wake of step disturbance in the system. The system dynamic responses and pattern of closed loop system eigenvalues for various system states are obtained with the designed optimal regulators to investigate the system dynamic performance. The investigations of the results obtained reveal that the reduction in system states used for feedback has resulted in degradation of system dynamic performance. However, for a particular set of output variables used as feedback;five states are used for feedback for an eighth order original system. The system dynamic performance is the same as offered by optimal controllers based on full state vector feedback control strategy.

关键词： dynamic system performance optimal regulator closed-loop eigenvalues wind power system output feedback control

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Non-linear controller approach for an autonomous battery-assisted photovoltaic system feeding an AC load with a non-linear component

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IET RENEWABLE POWER GENERATION 2014年第8期8卷 838-848页

作者： Khayamy, Mehdy Ojo, Olorunfemi Sota, Eseme Tennessee Technol Univ Dept Elect & Comp Engn Lab Elect Machines & Power Elect Energy Syst Res Ctr Cookeville TN 38505 USA

The conventional controller design of the autonomous photovoltaic (PV) energy system feeding a load is usually based on a dual-loop cascade controller structure. The controllers are designed based on the small signal equations of the non-linear system. However, most of the elements comprising the energy system are non-linear in nature such that controllers based on small signal models are not effective in all operability regions. Since the PV-battery-assisted energy system has four inputs and five controlled outputs, it is a non-square mult-input-multi-output system as well. To consider the non-linear behaviour of the system, the concept of feedback linearisation control algorithm is used which provides satisfactory performance, ensures input-output decoupled control on each of the outputs and gives the opportunity to achieve any level of dynamic performance through appropriate locations of the closed-loop eigenvalues and zeros. Different modes of operation of the autonomous, battery-assisted PV system and their controls are investigated and their boundaries of operation are determined. The proposed control algorithm is programmed to operate in all the modes of operation and it is shown that for various load demands, solar irradiation levels and the status of the battery, the control system set forth faithfully follows the reference points. These assertions are validated with computer simulation results.

关键词： photovoltaic power systems battery storage plants hybrid power systems power system control eigenvalues and eigenfunctions cascade control nonlinear control systems nonlinear controller approach autonomous battery-assisted photovoltaic system AC load nonlinear component PV energy system dual-loop cascade controller structure signal equations nonsquare multi-input–multi-output system nonlinear behaviour feedback linearisation control algorithm input–output decoupled control dynamic performance closed-loop eigenvalues load demands solar irradiation levels

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Study on Dynamic Participation of Wind Turbines in Automatic Generation Control of Power Systems

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ELECTRIC POWER COMPONENTS AND SYSTEMS 2015年第1期43卷 44-55页

作者： Ibraheem Niazi, Khaleequr Rehman Sharma, Gulshan Qassim Univ Qassim Engn Coll Dept Elect Engn Buraydah 51452 Saudi Arabia Malaviya Natl Inst Technol Dept Elect Engn Jaipur Rajasthan India

This article presents the design of optimal automatic generation control regulators for an interconnected power system incorporating dynamic participation of doubly fed induction generator based wind turbines. Two power system models are identified for the investigations. Power system model 1 is a two-area interconnected power system consisting of identical plants with non-reheat turbines, whereas power system model 2 consists of identical plants with non-reheat turbines and dynamic participation of doubly fed induction generator based wind turbines in both areas. An AC tie-line is used as area interconnection in both power system models. The designed optimal automatic generation control regulators are implemented, and the system dynamic responses for various system states are obtained considering a 1% load disturbance in one of the areas. The pattern of closed-loop eigenvalues is also determined to investigate system stability. From the investigations carried out in the work, it is inferred that the incorporation of doubly fed induction generator based wind turbines in both areas has appreciably improved the dynamic performance of the system under consideration. Moreover, system stability is ensured for both power system models.

关键词： closed-loop eigenvalues automatic generation control doubly fed induction generator area control error wind turbines optimal automatic generation control regulator

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Boundary control of free and forced oscillation of shearable thin-walled beam cantilevers

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EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 1998年第4期17卷 687-700页

作者： Librescu, L Na, S Virginia Polytech Inst & State Univ Dept Engn Sci & Mech Blacksburg VA 24061 USA

This paper deals with the problem of controlling the bending oscillations of cantilevers subjected to harmonic time-dependent excitations and with that of enhancing their eigenvibration response characteristics. The structural model consisting of a thin-walled beam of arbitrary cross-section includes a number of nonclassical effects, such as transverse shear, secondary warping and heterogeneity. The control is achieved via the action of a bending moment applied at the tip of the structure. A dynamic feedback control law relating the boundary bending moment to the angular velocity at the tip of the structure is implemented and its implications upon the closed-loop eigenvalues and dynamic response to harmonic excitations are revealed. A computational methodology based on the extended Galerkin's technique aimed at determining the closed-loop response characteristics is used and numerical results revealing the efficiency of the adopted control methodology are displayed. (C) Elsevier, Paris.

关键词： oscillation boundary control closed-loop eigenvalues response thin-walled beam

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Integration and Enhancement of Load Frequency Control Design for Diverse Sources Power System via DFIG Based Wind Power Generation and Interonnected via Parallel HVDC/EHVAC Tie-Lines

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INTERNATIONAL JOURNAL OF ENGINEERING RESEARCH IN AFRICA 2020年 46卷 106-124页

作者： Sharma, Gulshan Narayanan, K. Davidson, I. E. Akindeji, K. T. Durban Univ Technol Dept Elect Power Engn ZA-4001 Durban South Africa Sastra Deemed Univ Dept Elect & Elect Engn Thanjavur India

The present paper focus on the integration as well as contribution of doubly fed induction generator (DFIG) based wind turbines in load frequency control (LFC) of the modern electric power system in order to supply the quality as well as pollution free electric power to the modern power customers. In addition, the control areas are connected via HVDC tie-line parallel to EHVAC tie-line with diverse sources i.e. hydro, thermal and gas based power generations in interconnected power system areas. Efforts have been made to propose an optimal LFC design based on the feedback of few state variables which are accessible for the measurement and contains good information of the complete power system. The LFC design based on few states are implemented and the obtained results are presented to show the LFC enhancement with DFIG integration and DFIG integration with installation of parallel HVDC/EHVAC tie-lines between control areas. Atlast, the beauty and effectiveness of LFC based on few states are compared with LFC design depends on all system states under similar working conditions and the application results are presented.

关键词： closed-loop eigenvalues Doubly Fed Induction Generator Wind Turbines Diverse Sources Full State Feedback Load Frequency Control Output Feedback

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Disturbance attenuation in linear systems via dynamical compensators: A parametric eigenstructure assignment approach

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IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS 2000年第2期147卷 129-136页

作者： Duan, GR Irwin, GW Liu, GP Queens Univ Belfast Sch Mech & Mfg Engn Belfast BT9 5AH Antrim North Ireland Queens Univ Belfast Sch Elect & Elect Engn Belfast BT9 5AH Antrim North Ireland ALSTOM Energy Technol Ctr Leicester LE8 6LH Leics England

A simple approach is proposed for disturbance attenuation in multivariable linear systems via dynamical output compensators based on complete parametric eigenstructure assignment. The basic idea is to minimise the H-2 norm of the disturbance-output transfer function using the design freedom provided by eigenstructure assignment. For robustness, the closed-loop system is restricted to be nondefective. Besides the design parameters, the closed-loop eigenvalues are also optimised within desired regions on the left-half complex plane to ensure both closed-loop stability and dynamical performance. With the proposed approach, additional closed-loop specifications can be easily achieved. As a demonstration, robust pole assignment, in the sense that the closed-loop eigenvalues are as insensitive as possible to open-loop system parameter perturbations, is treated. Application of the proposed approach to robust control of a magnetic bearing with a pair of opposing electromagnets and a rigid rotor is discussed.

关键词： left-half complex plane closed-loop stability rigid rotor closed-loop eigenvalues disturbance attenuation dynamical output compensators multivariable control systems complete parametric eigenstructure assignment open-loop system parameter perturbations dynamical performance closed-loop eigenvalue optimisation robust pole assignment opposing electromagnets H∞ control minimisation multivariable linear systems disturbance-output transfer function Optimal control transfer functions linear systems magnetic bearing control system synthesis Multivariable control systems H2 norm minimisation compensation closed loop systems Control system analysis and synthesis methods additional closed-loop specifications eigenstructure assignment robust control Stability in control theory

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DFIG based AGC of Power System using Robust Methodology 8th

DFIG based AGC of Power System using Robust Methodology

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8th International Conference on Applied Energy (ICAE)

作者： Sharma, Gulshan Ibraheem Bansal, R. C. Nirma Univ Inst Technol Dept Elect Engn Ahmadabad 382481 Gujarat India Univ Pretoria Dept Elect Elect & Comp Engn ZA-0028 Pretoria South Africa Qassim Univ Qassim Engn Coll Dept Elect Engn Buraydah Saudi Arabia

The electrical energy system size is increasing and getting complex day by day with rising trends to integrate renewable energy sources like wind power in order to deliver the economic energy to the modern and developing society. However, the rising trends of wind energy generation and involvement raises serious concern for matching the generations with load demand and hence to maintain the standards of automatic generation control (AGC). Therefore, the power system needs robust design techniques for such type of complex system. This paper discusses the robust methodology for AGC of conventional system with sufficient contribution from doubly fed induction generator (DFIG) in control areas. The robust AGC are applied on the above said complex system and the application results are compared with control design based on optimal theory in terms of system stability and the achieved responses to validate the influence of the proposed technique. (C) 2017 The Authors. Published by Elsevier Ltd.

关键词： AGC DFIG Optimal control theory Robust technique closed-loop eigenvalues

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