Security constrained emergency voltage stabilization: A Model Predictive Control based approach

Voltage instability impacts power system transfer limits and its reliability. This paper presents an approach to determine a voltage control scheme based on the model predictive control (MPC) theory. MPC is used to develop an optimal control strategy, consisting of a sequence of amounts of the shunt capacitors to switch. The resulting control strategy prevents voltage instability and maintains a desired amount of post-transient voltage stability margin (an index of system security). The objective of optimization is to minimize a weighted sum of the cumulative voltage deviations and the cumulative cost of capacitive controls. The effect of the capacitive control on voltage behavior is computed by means of trajectory sensitivity. The sensitivity of voltage stability margin with respect to the capacitive control is used to construct a security constraint for post-fault operation in the MPC formulation. The efficacy of the proposed approach is illustrated through applications to the 39-bus New England system for preventing voltage collapse.

[1]  F. Milano,et al.  An open source power system analysis toolbox , 2005, 2006 IEEE Power Engineering Society General Meeting.

[2]  Yuan-Lin Chen,et al.  Weak bus-oriented optimal multi-objective VAr planning , 1996 .

[3]  Gustaf Olsson,et al.  Emergency voltage control using search and predictive control , 2002 .

[4]  S. Granville,et al.  Application of decomposition techniques to VAr planning: methodological and computational aspects , 1994 .

[5]  I.A. Hiskens,et al.  MPC-Based Load Shedding for Voltage Stability Enhancement , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[6]  M. Larrson,et al.  Coordinated System Protection Scheme against Voltage Collapse Using Heuristic Search and Predictive Control , 2002, IEEE Power Engineering Review.

[7]  M. Zima,et al.  Model Predictive Control Employing Trajectory Sensitivities for Power Systems Applications , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[8]  R. Kumar,et al.  Linear complexity search algorithm to locate shunt and series compensation for enhancing voltage stability , 2005, Proceedings of the 37th Annual North American Power Symposium, 2005..

[9]  S.J. Cheng,et al.  Optimal coordinated voltage control for power system voltage stability , 2004, IEEE Transactions on Power Systems.

[10]  H. Sasaki,et al.  A New Formulation for FACTS Allocation for Security Enhancement against Voltage Collapse , 2002, IEEE Power Engineering Review.

[11]  Goran Andersson,et al.  Power systems voltage emergency control approach using trajectory sensitivities , 2003, Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003..

[12]  R. Kumar,et al.  Planning minimum reactive compensation to mitigate voltage instability , 2006, 2006 IEEE Power Engineering Society General Meeting.

[13]  Goran Andersson,et al.  Stability assessment and emergency control method using trajectory sensitivities , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[14]  James B. Rawlings,et al.  Tutorial overview of model predictive control , 2000 .

[15]  T. Smed,et al.  Feasible eigenvalue sensitivity for large power systems , 1993 .

[16]  Ian A. Hiskens,et al.  Trajectory Sensitivity Analysis of Hybrid Systems , 2000 .