Optimal power dispatch in networks of high-dimensional models of synchronous machines

This paper investigates the problem of optimal frequency regulation of multi-machine power networks where each synchronous machine is described by a sixth order model. By analyzing the physical energy stored in the network and the generators, a port-Hamiltonian representation of the multi-machine system is obtained. Moreover, it is shown that the open-loop system is passive with respect to its steady states which allows the construction of passive controllers to control the multi-machine network. As a special case, a distributed consensus based controller is designed that regulates the frequency and minimizes a global quadratic generation cost in the presence of a constant unknown demand. In addition, the proposed controller allows freedom in choosing any desired connected undirected weighted communication graph.

[1]  Enrique Mallada,et al.  Distributed generator and load-side secondary frequency control in power networks , 2015, 2015 49th Annual Conference on Information Sciences and Systems (CISS).

[2]  Arjan van der Schaft,et al.  A port-Hamiltonian approach to optimal frequency regulation in power grids , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[3]  Lijun Chen,et al.  Reverse and forward engineering of frequency control in power networks , 2014, 53rd IEEE Conference on Decision and Control.

[4]  Claudio De Persis,et al.  An internal model approach to (optimal) frequency regulation in power grids with time-varying voltages , 2014, Autom..

[5]  Jacquelien M. A. Scherpen,et al.  A port-Hamiltonian approach to power network modeling and analysis , 2013, Eur. J. Control.

[6]  Xuan Zhang,et al.  A real-time control framework for smart power networks: Design methodology and stability , 2015, Autom..

[7]  C. De Persis,et al.  Port-Hamiltonian Formulation of the Gradient Method Applied to Smart Grids , 2015 .

[8]  F. Alvarado,et al.  Stability Analysis of Interconnected Power Systems Coupled with Market Dynamics , 2001, IEEE Power Engineering Review.

[9]  Na Li,et al.  Connecting Automatic Generation Control and Economic Dispatch From an Optimization View , 2014, IEEE Transactions on Control of Network Systems.

[10]  Romeo Ortega,et al.  Modeling of microgrids - from fundamental physics to phasors and voltage sources , 2015, Autom..

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

[12]  Arjan van der Schaft,et al.  A Unifying Energy-Based Approach to Stability of Power Grids With Market Dynamics , 2016, IEEE Transactions on Automatic Control.

[13]  Paulo Tabuada,et al.  Compositional Transient Stability Analysis of Multimachine Power Networks , 2013, IEEE Transactions on Control of Network Systems.

[14]  Alessandro Astolfi,et al.  Transient stabilization of multimachine power systems with nontrivial transfer conductances , 2005, IEEE Transactions on Automatic Control.

[15]  Babu Narayanan,et al.  POWER SYSTEM STABILITY AND CONTROL , 2015 .

[16]  Arjan van der Schaft,et al.  Port-Hamiltonian Systems Theory: An Introductory Overview , 2014, Found. Trends Syst. Control..

[17]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[18]  H. H. Happ,et al.  Power System Control and Stability , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[19]  Francesco Bullo,et al.  Synchronization and power sharing for droop-controlled inverters in islanded microgrids , 2012, Autom..