Linear Formulations for Topology-Variable-Based Distribution System Reliability Assessment Considering Switching Interruptions

Continuity of supply plays a significant role in modern distribution system planning and operational studies. Accordingly, various techniques have been developed for reliability assessment of distribution networks. However, owing to the complexities and restrictions of these methods, many researchers have resorted to several heuristic optimization algorithms for solving reliability-constrained optimization problems. Therefore, solution quality and convergence to global optimality cannot be guaranteed. Aiming to address this issue, two salient mathematical models are introduced in this paper for topology-variable-based reliability evaluation of both radial and radially-operated meshed distribution networks. Cast as a set of linear expressions, the first model is suitable for radial networks. The second model relies on mixed-integer linear programming and allows handling not only radial networks but also radially-operated meshed distribution grids. Therefore, the proposed formulations can be readily incorporated into various mathematical programming models for distribution system planning and operation. Numerical results from several case studies back the scalability of the developed models, which is promising for their further application in distribution system optimization studies. Moreover, the benefits of the proposed formulations in terms of solution quality are empirically evidenced.

[1]  S. Conti,et al.  Generalized Systematic Approach to Assess Distribution System Reliability With Renewable Distributed Generators and Microgrids , 2012, IEEE Transactions on Power Delivery.

[2]  Matti Lehtonen,et al.  Planning to Equip the Power Distribution Networks with Automation System , 2017, IEEE Transactions on Power Systems.

[3]  M. J. Rider,et al.  Imposing Radiality Constraints in Distribution System Optimization Problems , 2012, IEEE Transactions on Power Systems.

[4]  Fangxing Li Distributed processing of reliability index assessment and reliability-based network reconfiguration in power distribution systems , 2005, IEEE Transactions on Power Systems.

[5]  Mahmud Fotuhi-Firuzabad,et al.  Integrated Planning for Distribution Automation and Network Capacity Expansion , 2019, IEEE Transactions on Smart Grid.

[6]  Boming Zhang,et al.  Analytical Reliability Assessment Method for Complex Distribution Networks Considering Post-Fault Network Reconfiguration , 2020, IEEE Transactions on Power Systems.

[7]  Jose Roberto Sanches Mantovani,et al.  Multiobjective multistage distribution system planning using tabu search , 2014 .

[8]  Juan Camilo Lopez,et al.  Optimal reconfiguration of electrical distribution systems considering reliability indices improvement , 2016 .

[9]  Javier Contreras,et al.  Distribution Network Expansion Planning With an Explicit Formulation for Reliability Assessment , 2018, IEEE Transactions on Power Systems.

[10]  A. Al-Shaalan Reliability Evaluation of Power Systems , 2019, Reliability and Maintenance - An Overview of Cases.

[11]  E. Fumagalli,et al.  Service Quality Regulation in Electricity Distribution and Retail , 2007 .

[12]  Ted K. Ralphs,et al.  Integer and Combinatorial Optimization , 2013 .

[13]  Gerald T Heydt,et al.  Distribution System Reliability Evaluation Using Enhanced Samples in a Monte Carlo Approach , 2010, IEEE Transactions on Power Systems.

[14]  Mahmud Fotuhi-Firuzabad,et al.  Power Distribution Network Expansion Planning Considering Distribution Automation , 2015, IEEE Transactions on Power Systems.

[15]  A.M.L. da Silva,et al.  Analytical and Monte Carlo approaches to evaluate probability distributions of interruption duration , 2005, IEEE Transactions on Power Systems.

[16]  Mahmud Fotuhi-Firuzabad,et al.  Reliability evaluation in power distribution system planning studies , 2016, 2016 International Conference on Probabilistic Methods Applied to Power Systems (PMAPS).

[17]  R. E. Brown Distribution reliability assessment and reconfiguration optimization , 2001, 2001 IEEE/PES Transmission and Distribution Conference and Exposition. Developing New Perspectives (Cat. No.01CH37294).

[18]  Fengzhang Luo,et al.  Fault Incidence Matrix Based Reliability Evaluation Method for Complex Distribution System , 2018, IEEE Transactions on Power Systems.

[19]  Richard E. Brown,et al.  Electric Power Distribution Reliability , 2002 .

[20]  Matti Lehtonen,et al.  A MILP Model for Incorporating Reliability Indices in Distribution System Expansion Planning , 2019, IEEE Transactions on Power Systems.

[21]  A. C. Zambroni de Souza,et al.  Artificial Immune Systems Optimization Approach for Multiobjective Distribution System Reconfiguration , 2015, IEEE Transactions on Power Systems.

[22]  Matti Lehtonen,et al.  Incorporating the effects of service quality regulation in decision-making framework of distribution companies , 2018 .

[23]  Javier Contreras,et al.  An Enhanced Algebraic Approach for the Analytical Reliability Assessment of Distribution Systems , 2019, IEEE Transactions on Power Systems.

[24]  Javier Contreras,et al.  Reliability assessment for distribution optimization models: A non-simulation-based linear programming approach , 2017, 2017 IEEE Power & Energy Society General Meeting.

[25]  J. Contreras,et al.  Distribution System Planning With Reliability , 2011, IEEE Transactions on Power Delivery.

[26]  S. Singh,et al.  Reconfiguration of Power Distribution Systems Considering Reliability and Power Loss , 2012, IEEE Transactions on Power Delivery.

[27]  Ehab F. El-Saadany,et al.  Reliability Assessment of Distribution Systems Considering Telecontrolled Switches and Microgrids , 2014, IEEE Transactions on Power Systems.

[28]  Roy Billinton,et al.  Fast algorithm for the reliability evaluation of large-scale electrical distribution networks using the section technique , 2008 .

[29]  Boming Zhang,et al.  An Analytical Adequacy Evaluation Method for Distribution Networks Considering Protection Strategies and Distributed Generators , 2015, IEEE Transactions on Power Delivery.

[30]  Ron Allan,et al.  Evaluation of reliability indices and outage costs in distribution systems , 1995 .

[31]  Javier Contreras,et al.  Multistage generation and network expansion planning in distribution systems considering uncertainty and reliability , 2016, 2017 IEEE Power & Energy Society General Meeting.