Support vector machines for an efficient representation of voltage band constraints

Future Smart Grids emphasize the (at least) partial coordination of a large number of stochastic consumers and producers to balance consumption and generation of electrical energy. However, this coordinated and often time-synchronous activation and deactivation of demand and supply may result in the violation of the grid's feasibility constraints, since it may increase statistical simultaneity above the level assumed in the initial design of such networks. The detection and avoidance of such operational infeasibilities is essential for secure grid operations. In order to handle the complexity of the optimization problem at hand, autonomous software agents will play a vital role in future power management systems. The system's complexity is reduced down to several less complex sub-problems, which may then be solved in parallel, based on locally available information. In this paper we present ongoing work on the development of autonomous grid management under stability constraints imposed by the power grid.

[1]  Nello Cristianini,et al.  An introduction to Support Vector Machines , 2000 .

[2]  David J. Hill,et al.  A power system control scheme based on security visualisation in parameter space , 2005 .

[3]  David P. Dobkin,et al.  The quickhull algorithm for convex hulls , 1996, TOMS.

[4]  Bernhard Schölkopf,et al.  Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond , 2005, IEEE Transactions on Neural Networks.

[5]  Sebastian Lehnhoff Dezentrales vernetztes Energiemanagement - ein Ansatz auf Basis eines verteilten adaptiven Realzeit-Multiagentensystems , 2010, Vieweg + Teubner Research.

[6]  Horst F. Wedde,et al.  On feasibility boundaries of electrical power grids in steady state , 2009 .

[7]  D. Hill,et al.  On Convexity of Power Flow Feasibility Boundary , 2008, IEEE Transactions on Power Systems.

[8]  Olav Krause Bestimmung des nutzungspotenzials von verteilnetzen , 2009 .

[9]  Horst F. Wedde,et al.  On-line stable state determination in decentralized power grid management , 2008 .

[10]  I. Hiskens,et al.  Exploring the power flow solution space boundary , 2001, PICA 2001. Innovative Computing for Power - Electric Energy Meets the Market. 22nd IEEE Power Engineering Society. International Conference on Power Industry Computer Applications (Cat. No.01CH37195).

[11]  Christian Rehtanz,et al.  Linear constraints for remaining transfer capability allocation , 2010, 2010 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT Europe).

[12]  Carlos J. Tavora,et al.  Equilibrium Analysis of Power Systems , 1972 .