An extended linear quadratic regulator and its application for control of power system dynamics

This paper presents a generalized solution to the problem of optimal control of systems having an extra set of exogenous inputs besides control inputs. The solution is derived in the framework of linear quadratic control and it is termed `extended linear quadratic regulator (ELQR)'. The ELQR is applied for control of unstable or poorly damped oscillatory dynamics occurring in a power system and is shown to be significantly more cost effective than the classical power system stabilizer (PSS) based approach.

[1]  Sang Bong Kim,et al.  Pole assignment in a specified disk , 1987 .

[2]  C. D. Johnson,et al.  Accomodation of external disturbances in linear regulator and servomechanism problems , 1971 .

[3]  Sung-Han Son,et al.  Discretization behaviors of equivalent control based sliding-mode control systems with external disturbances , 2004, 30th Annual Conference of IEEE Industrial Electronics Society, 2004. IECON 2004.

[4]  Charles L. Phillips,et al.  Digital control system analysis and design (2nd ed.) , 1989 .

[5]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..

[6]  Bikash C. Pal,et al.  Decentralized Dynamic State Estimation in Power Systems Using Unscented Transformation , 2014, IEEE Transactions on Power Systems.

[7]  Zhiqiang Gao,et al.  Active disturbance rejection control: a paradigm shift in feedback control system design , 2006, 2006 American Control Conference.

[8]  C. D. Johnson.  Accommodation of disturbances in optimal control problems , 1972 .

[10]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[11]  Eric Ostertag,et al.  Mono- and Multivariable Control and Estimation , 2011 .

[12]  D.S. Naidu,et al.  Digital control system analysis and design , 1986, Proceedings of the IEEE.

[13]  B. Pal,et al.  Robust Control in Power Systems , 2005 .

[14]  E. Larsen,et al.  IEEE Transactions on Power Apparatus and Systems, Vol. PAS-100, No. 6 June 1981 APPLYING POWER SYSTEM STABILIZERS PART I: GENERAL CONCEPTS , 2006 .