Passivity preserving model order reduction for the SMIB

We apply (linear) positive real balancing to the model of a single machine connected to an infinite bus. For that we compute the available storage and the required supply using Taylor approximation and define axis positive real singular value functions. Furthermore, we apply linear positive real balancing to the nonlinear model and analyze the results.

[1]  Athanasios C. Antoulas,et al.  Approximation of Large-Scale Dynamical Systems , 2005, Advances in Design and Control.

[2]  Jacquelien M.A. Scherpen,et al.  Positive Real Balancing for Nonlinear Systems , 2007 .

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

[4]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[5]  Jacquelien M. A. Scherpen,et al.  Nonlinear input-normal realizations based on the differential eigenstructure of Hankel operators , 2005, IEEE Transactions on Automatic Control.

[6]  R. Ortega,et al.  A Passivation Approach to Power Systems Stabilization , 1998 .

[7]  R. Ortega,et al.  On Transient Stabilization of Power Systems: A Power-Shaping Solution for Structure-Preserving Models , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.