Robust Restoration Method for Active Distribution Networks

Distributed generations (DGs) introduce significant uncertainties to restoration of active distribution networks, in addition to roughly estimated load demands. An adjustable robust restoration optimization model with a two-stage objective is proposed in this paper, involving the uncertain DG outputs and load demands. The first stage generates optimal strategies for recovery of outage power and the second stage seeks the worst-case fluctuation scenarios. The model is formulated as a mixed-integer linear programming problem and solved using the column-and-constraint generation method. The feasibility and reliability of the strategies obtained via this robust optimization model can be guaranteed for all cases in the predefined uncertainty sets with good performance. A technique known as the uncertainty budget is used to adjust the conservativeness of this model, providing a tradeoff between conservativeness and robustness. Numerical tests are carried out on the modified PG&E 69-bus system and a modified 246-bus system to compare the robust optimization model against a deterministic restoration model, which verifies the superiority of this proposed model.

[1]  Hongbin Sun,et al.  Robust Restoration Decision-Making Model for Distribution Networks Based on Information Gap Decision Theory , 2015, IEEE Transactions on Smart Grid.

[2]  T.D. Sudhakar,et al.  Heuristic based strategy for the restoration problem in electric power distribution systems , 2004, 2004 International Conference on Power System Technology, 2004. PowerCon 2004..

[3]  D. Shirmohammadi.  Service restoration in distribution networks via network reconfiguration , 1991, Proceedings of the 1991 IEEE Power Engineering Society Transmission and Distribution Conference.

[4]  Cécile Murat,et al.  Robust location transportation problems under uncertain demands , 2014, Discret. Appl. Math..

[5]  R. Jabr,et al.  Minimum Loss Network Reconfiguration Using Mixed-Integer Convex Programming , 2012, IEEE Transactions on Power Systems.

[6]  D.S. Popovic,et al.  A risk management procedure for supply restoration in distribution networks , 2004, IEEE Transactions on Power Systems.

[7]  Wen-Hui Chen,et al.  Distribution system restoration using the hybrid fuzzy-grey method , 2005, IEEE Transactions on Power Systems.

[8]  M. E. Baran,et al.  Optimal capacitor placement on radial distribution systems , 1989 .

[9]  Hongbin Sun,et al.  Security evaluation for distribution power system using improved MIQCP based restoration strategy , 2014, ISGT 2014.

[10]  Y.-Y. Hsu,et al.  Distribution system load estimation and service restoration using a fuzzy set approach , 1993 .

[11]  Fei Ding,et al.  Hierarchical decentralized network reconfiguration for smart distribution systems-Part I: Problem formulation and algorithm development , 2015, 2015 IEEE Power & Energy Society General Meeting.

[12]  F. S. Hover,et al.  Convex Models of Distribution System Reconfiguration , 2012, IEEE Transactions on Power Systems.

[13]  Long Zhao,et al.  Solving two-stage robust optimization problems using a column-and-constraint generation method , 2013, Oper. Res. Lett..

[14]  Melvyn Sim,et al.  The Price of Robustness , 2004, Oper. Res..

[15]  Kenneth A. Loparo,et al.  Decentralized network reconfiguration and restoration for smart distribution systems — Part I: Decentralized approach , 2014, 2014 IEEE PES T&D Conference and Exposition.

[16]  Y. Fukuyama,et al.  Comparative study of modern heuristic algorithms to service restoration in distribution systems , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

[17]  S. S. Venkata,et al.  An expert system operational aid for restoration and loss reduction of distribution systems , 1988 .

[18]  C. H. Lin,et al.  Rule-based expert system for service restoration in distribution automation systems , 2012, 2012 IEEE International Conference on Power System Technology (POWERCON).

[19]  C. Abbey,et al.  Global survey on planning and operation of active distribution networks - Update of CIGRE C6.11 working group activities , 2009 .

[20]  Sanjay Mehrotra,et al.  Robust Distribution Network Reconfiguration , 2015, IEEE Transactions on Smart Grid.

[21]  Y.-Y. Hsu,et al.  Distribution system service restoration using the artificial neural network approach and pattern recognition method , 1995 .

[22]  W. Luan,et al.  Genetic algorithm for supply restoration and optimal load shedding in power system distribution networks , 2002 .

[23]  M. Rider,et al.  Imposing Radiality Constraints in Distribution System Optimization Problems , 2012 .

[24]  Chao-Ming Huang,et al.  Evolving radial basic function neural network for fast restoration of distribution systems , 2011, 2011 6th IEEE Conference on Industrial Electronics and Applications.

[25]  D.S. Popovic,et al.  A multi-objective algorithm for distribution networks restoration , 1999, IEEE Power Engineering Society. 1999 Winter Meeting (Cat. No.99CH36233).

[26]  N.D.R. Sarma,et al.  A new network reconfiguration technique for service restoration in distribution networks , 1994 .

[27]  Y. Kumar,et al.  Multiobjective, Multiconstraint Service Restoration of Electric Power Distribution System With Priority Customers , 2008, IEEE Transactions on Power Delivery.