Smart Load and Generation Scheduling for Power System Restoration

This paper studies the applicability of the linearized DC model in optimizing power restoration after significant network disruptions. In such circumstances, no AC base-point solution exists and the objective is to maximize the served load. The paper demonstrates that the accuracy of the linearized DC model degrades with the size of the disaster and that it can significantly underestimate active and apparent power. To remedy these limitations, the paper proposes an AngleConstrained DC Power Flow (ACDCPF) model that enforces constraints on the line phase angles and has the ability to shed load and generation across the network. Experimental results on N-3 contingencies in the IEEE30 network and power restoration instances from disaster recovery show that the ACDCPF model provides significantly more accurate approximations of active and apparent power. In the restoration context, the ACDCPF model is shown to be much more reliable and produces significant reduction in the size of the blackouts.

[1]  Dick Duffey,et al.  Power Generation , 1932, Transactions of the American Institute of Electrical Engineers.

[2]  William F. Tinney,et al.  Optimal Power Flow Solutions , 1968 .

[3]  Thomas J. Higgins,et al.  Power Systems Engineering and Mathematics , 1973 .

[4]  Y. Tamura,et al.  Relationship Between Voltage Instability and Multiple Load FLow Solutions in Electric Power Systems , 1983, IEEE Transactions on Power Apparatus and Systems.

[5]  Allen J. Wood,et al.  Power Generation, Operation, and Control , 1984 .

[6]  Daniel S. Kirschen,et al.  MW/voltage control in a linear programming based optimal power flow , 1988 .

[7]  B. Stott,et al.  Further developments in LP-based optimal power flow , 1990 .

[8]  Hadi Saadat,et al.  Power System Analysis , 1998 .

[9]  Mariesa L. Crow,et al.  Computational methods for electric power systems , 2002 .

[10]  Thomas J. Overbye,et al.  A comparison of the AC and DC power flow models for LMP calculations , 2004, 37th Annual Hawaii International Conference on System Sciences, 2004. Proceedings of the.

[11]  R. Belmans,et al.  Usefulness of DC power flow for active power flow analysis , 2005, IEEE Power Engineering Society General Meeting, 2005.

[12]  Daniel Bienstock,et al.  Using mixed-integer programming to solve power grid blackout problems , 2007, Discret. Optim..

[13]  Ross Baldick,et al.  Applied Optimization: Formulation and Algorithms for Engineering Systems (Baldick, R.; 2006) , 2008, IEEE Control Systems.

[14]  Antonio J. Conejo,et al.  Electric Energy Systems : Analysis and Operation , 2008 .

[15]  H. Dag,et al.  Branch outage solution using particle swarm optimization , 2008, 2008 Australasian Universities Power Engineering Conference.

[16]  M. Ferris,et al.  Optimal Transmission Switching , 2008, IEEE Transactions on Power Systems.

[17]  J. Salmeron,et al.  Worst-Case Interdiction Analysis of Large-Scale Electric Power Grids , 2009, IEEE Transactions on Power Systems.

[18]  R.P. O'Neill,et al.  Optimal Transmission Switching With Contingency Analysis , 2010, IEEE Transactions on Power Systems.

[19]  Russell Bent,et al.  Approved for public release; distribution is unlimited. Title: Vehicle Routing for the Last Mile of Power System Restoration Author(s): , 2022 .

[20]  Russell Bent,et al.  Strategic stockpiling of power system supplies for disaster recovery , 2011, 2011 IEEE Power and Energy Society General Meeting.

[21]  Mario Paolone,et al.  A Mixed Integer Linear Programming Approach to the Optimal Reconfiguration of Electrical Distribution Networks with Embedded Generators , 2011 .

[22]  Leonard L. Grigsby,et al.  Computational Methods for Electric Power Systems , 2012 .

[23]  R. Bent,et al.  Approximating line losses and apparent power in AC power flow linearizations , 2012, 2012 IEEE Power and Energy Society General Meeting.