Decentralized Non-linear Control for Improving the Electromechanical Transient Behavior of Multi-machine Power Systems

Abstract A Hamiltonian multi-machine formulation is utilized for designing non-linear controllers with the purpose of helping to alleviate the electromechanical transient behavior after large disturbances. The controllers' design is based on a tracking problem, where the excitation voltage and the mechanical torque are employed as inputs. It is possible to utilize an observer for no accessible signals. The combined action of voltage and speed controllers achieves the objectives. Results are exhibited on two power systems in the open literature.

[1]  H. Kaufman,et al.  Stabilizing a multimachine power system via decentralized feedback linearizing excitation control , 1993 .

[2]  Y. Wang,et al.  Co-ordinated control of generator excitation and STATCOM for rotor angle stability and voltage regulation enhancement of power systems , 2002 .

[3]  Q. Lu,et al.  Nonlinear Stabilizing Control of Multimachine Systems , 1989, IEEE Power Engineering Review.

[4]  K R Padiyar,et al.  Power System Dynamics , 2002 .

[5]  Janos Turi,et al.  Applications of exact linearization techniques for steady-state stability enhancement in a weak AC/DC system , 1992 .

[6]  Chen Yan,et al.  Optimal design of UPFC nonlinear control system , 2003 .

[7]  Enrico Elio De Tuglie,et al.  Feedback-linearization and feedback–feedforward decentralized control for multimachine power system , 2008 .

[8]  Marija D. Ilic,et al.  Feedback linearizing excitation control on a full-scale power system model , 1994 .

[9]  Louis R. Hunt,et al.  Design for Multi-Input Nonlinear Systems , 1982 .

[10]  Xiaoxin Zhou,et al.  Robust observer-based nonlinear control of multimachine power systems , 2001 .

[11]  Yuzhen Wang,et al.  Energy-based Decentralized Excitation Control of Nonlinear Differential Algebraic Power Systems , 2007, 2007 IEEE International Conference on Control and Automation.

[12]  Wladyslaw Mielczarski,et al.  Multivariable non-linear controller for a synchronous generator , 1994 .

[13]  Liu Yanhong,et al.  Dissipative Hamiltonian Realization of Nonlinear Differential Algebraic Systems , 2006, 2007 Chinese Control Conference.

[14]  Jong-Tae Lim,et al.  Feedback linearisation of time-varying nonlinear systems via time-varying diffeomorphism , 2003 .

[15]  Narri Yadaiah,et al.  Linearisation of multi-machine power system: Modeling and control – A survey , 2007 .

[16]  Jong-Tae Lim,et al.  Feedback linearisation of nonlinear singularly perturbed systems with non-separate slow-fast dynamics , 2008 .

[17]  R. Marino An example of a nonlinear regulator , 1984 .

[18]  G. Guo,et al.  Robust nonlinear controller for power system transient stability enhancement with voltage regulation , 1996 .

[19]  Janusz Bialek,et al.  Power System Dynamics: Stability and Control , 2008 .

[20]  G. Tadmor,et al.  Dissipativity as a unifying control design framework for suppression of low frequency oscillations in power systems , 1999 .

[21]  A. Isidori,et al.  Global external linearization of nonlinear systems via feedback , 1985 .

[22]  Nahum Shimkin,et al.  Nonlinear Control Systems , 2008 .

[23]  S. Savaresi Exact feedback linearisation of a fifth-order model of synchronous generators , 1999 .

[24]  J. Wu,et al.  Decentralised nonlinear equilibrium point adaptive control of generators for improving multimachine power system transient stability , 2003 .

[25]  R. Schlueter,et al.  Nonlinear effects of a robust control design , 2005, IEEE Transactions on Power Systems.

[26]  H. Happ Power system control and stability , 1979, Proceedings of the IEEE.

[27]  Chunwen Li,et al.  On the Dissipative Hamiltonian Realization of Nonlinear Differential Algebraic Systems , 2009, 2009 Second International Conference on Intelligent Computation Technology and Automation.

[28]  Yanhong Liu,et al.  Dissipative Hamiltonian Realization of Multi-machine Multi-load Power Systems , 2007, 2007 IEEE International Conference on Control Applications.

[29]  Ganapati Panda,et al.  Application of a multivariable feedback linearization scheme for STATCOM control , 2002 .

[30]  A. Isidori,et al.  New results and examples in nonlinear feedback stabilization , 1989 .

[31]  Y. C. Cao Nonlinear control of power system multi-mode oscillations , 1998 .

[32]  Ouassima Akhrif,et al.  Application of a multivariable feedback linearization scheme for rotor angle stability and voltage regulation of power systems , 1999 .

[33]  Lin Chen,et al.  A nonlinear control design for power systems , 1992, Autom..