Design of Stabilizing Control for Synchronous Machines via Polynomial Modelling and Linear Matrix Inequalities Approach

被引:9
作者
Belhaouane, Mohamed Moez [1 ]
Braiek, Naceur Benhadj [1 ]
机构
[1] Polytech Sch Tunisia, LECAP Lab, La Marsa 2078, Tunisia
关键词
Global asymptotic stabilization; linear matrix inequalities (LMI); nonlinear state feedback control; polynomial approach; power system stabiliser; synchronous machine modelling; PARKS TRANSFORMATION; SYSTEMS; FEEDBACK;
D O I
10.1007/s12555-011-0301-5
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the design and evaluation of a nonlinear state feedback controller to improve the global asymptotic stabilization and transient performance of synchronous machines. The nonlinear Park's model is developed around the working point on a third order polynomial system. An innovative technique is used to design a nonlinear polynomial controller, based on the Lyapunov's direct method and Linear Matrix Inequalities (LMIs) approach. The control laws are derived from the resolution of a sufficient LMI stabilization condition. The proposed polynomial control has been tested numerically on a generator infinite-bus power system and the simulations results show an excellent damping of the system oscillations over a wide range of operating conditions whilst retaining good voltage control.
引用
收藏
页码:425 / 436
页数:12
相关论文
共 33 条
[21]   Excitation control system for use with synchronous generators [J].
Machowski, J ;
Bialek, JW ;
Robak, S ;
Bumby, JR .
IEE PROCEEDINGS-GENERATION TRANSMISSION AND DISTRIBUTION, 1998, 145 (05) :537-546
[22]  
Mon T.W., 2008, International Journal of Electrical and Electronics Engineering, V1, P49
[23]   Synchronous generator modelling and parameters estimation using least squares method [J].
Mouni, Emile ;
Tnani, Slim ;
Champenois, Gerard .
SIMULATION MODELLING PRACTICE AND THEORY, 2008, 16 (06) :678-689
[24]  
MTAR R, 2009, NONLINEAR DYNAMICS S, V9, P171
[25]  
NEMIROVSKY A, 1994, P AM CONTR C
[26]   DESIGN OF OPTIMAL REGULATORS FOR SYNCHRONOUS MACHINES [J].
RAMAMOORTY, M ;
ARUMUGAM, M .
IEEE TRANSACTIONS ON POWER APPARATUS AND SYSTEMS, 1973, PA92 (01) :269-277
[27]   NON-LINEAR SYSTEMS - IDENTIFICATION AND OPTIMAL-CONTROL [J].
ROTELLA, F ;
DAUPHINTANGUY, G .
INTERNATIONAL JOURNAL OF CONTROL, 1988, 48 (02) :525-544
[28]   NEW DESIGN OF COMPOSITE CONTROLLERS FOR SYNCHRONOUS MACHINES VIA SEPARATION OF TIMESCALES [J].
SINGH, NP ;
SINGH, YP ;
AHSON, SI .
IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1988, 135 (03) :182-188
[29]   Reduction of torque undulation and extension of the Park's transformation applied to non-sinusoidal saturated synchronous motors [J].
Sturtzer, G ;
Flieller, D ;
Louis, JP .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2003, 63 (3-5) :297-305
[30]   A tutorial on linear and bilinear matrix inequalities [J].
VanAntwerp, JG ;
Braatz, RD .
JOURNAL OF PROCESS CONTROL, 2000, 10 (04) :363-385