An exact MINLP model for optimal location and sizing of DGs in distribution networks: A general algebraic modeling system approach

Abstract This paper addresses the classical problem of optimal location and sizing of distributed generators (DGs) in radial distribution networks by presenting a mixed-integer nonlinear programming (MINLP) model. To solve such model, we employ the General Algebraic Modeling System (GAMS) in conjunction with the BONMIN solver, presenting its characteristics in a tutorial style. To operate all the DGs, we assume they are dispatched with a unity power factor. Test systems with 33 and 69 buses are employed to validate the proposed solution methodology by comparing its results with multiple approaches previously reported in the specialized literature. A 27-node test system is also used for locating photovoltaic (PV) sources considering the power capacity of the Caribbean region in Colombia during a typical sunny day. Numerical results confirm the efficiency and accuracy of the MINLP model and its solution is validated through the GAMS package.

[1]  Ahmad Rezaee Jordehi,et al.  Allocation of distributed generation units in electric power systems: A review , 2016 .

[2]  L. Lakshminarasimman,et al.  Stud Krill herd Algorithm for multiple DG placement and sizing in a radial distribution system , 2017 .

[3]  Pandian Vasant,et al.  Symbiotic Organism Search Algorithm for Optimal Size and Siting of Distributed Generators in Distribution Systems , 2017, Int. J. Energy Optim. Eng..

[4]  Banaja Mohanty,et al.  A teaching learning based optimization technique for optimal location and size of DG in distribution network , 2016 .

[5]  Oscar Danilo Montoya Giraldo Solving a Classical Optimization Problem Using GAMS Optimizer Package: Economic Dispatch Problem Implementation , 2017 .

[6]  Carlos Andrés Ramos-Paja,et al.  Optimal Sizing and Location of Distributed Generators Based on PBIL and PSO Techniques , 2018 .

[7]  Almoataz Y. Abdelaziz,et al.  Optimal placement and sizing of voltage controlled distributed generators in unbalanced distribution networks using supervised firefly algorithm , 2016 .

[8]  Luis Femado Grisales,et al.  Ubicación y dimensionamiento de generación distribuida: Una revisión , 2017 .

[9]  Provas Kumar Roy,et al.  Krill herd algorithm for optimal location of distributed generator in radial distribution system , 2016, Appl. Soft Comput..

[10]  M. Gandomkar,et al.  A Genetic–Based Tabu Search Algorithm for Optimal DG Allocation in Distribution Networks , 2005 .

[11]  Mukul Dixit,et al.  Incorporation of distributed generation and shunt capacitor in radial distribution system for techno-economic benefits , 2017 .

[12]  Manisha Dubey,et al.  Optimal sizing and sitting of DG with load models using soft computing techniques in practical distribution system , 2016 .

[13]  A. Elmitwally,et al.  A new algorithm for allocating multiple distributed generation units based on load centroid concept , 2013 .

[14]  Sandeep Kaur,et al.  A MINLP technique for optimal placement of multiple DG units in distribution systems , 2014 .

[15]  Satish Kumar Injeti,et al.  A novel approach to identify optimal access point and capacity of multiple DGs in a small, medium and large scale radial distribution systems , 2013 .

[16]  Mohd Wazir Mustafa,et al.  Optimal multiple distributed generation output through rank evolutionary particle swarm optimization , 2015, Neurocomputing.

[17]  Srinivasa Rao Rayapudi,et al.  A novel method for optimal placement of distributed generation in distribution systems using HSDO , 2014 .

[18]  Chandrasekhar Yammani,et al.  A Multi-objective Shuffled Bat algorithm for optimal placement and sizing of multi distributed generations with different load models , 2016 .

[19]  Hossein Lotfi,et al.  State of the Art in Research on Microgrids: A Review , 2015, IEEE Access.

[20]  Alireza Jalilian,et al.  A novel objective function for optimal DG allocation in distribution systems using meta-heuristic algorithms , 2016 .

[21]  Frede Blaabjerg,et al.  Renewable energy resources: Current status, future prospects and their enabling technology , 2014 .

[22]  Arup Kumar Goswami,et al.  Impact of plug-in electric vehicles and distributed generation on reliability of distribution systems , 2018 .

[23]  Provas Kumar Roy,et al.  Oppositional krill herd algorithm for optimal location of distributed generator in radial distribution system , 2015 .

[24]  Alejandro Garces,et al.  Optimal Conductor Size Selection in Radial Distribution Networks Using a Mixed-Integer Non-Linear Programming Formulation , 2018, IEEE Latin America Transactions.

[25]  Mehdi Jalali,et al.  AN MINLP APPROACH FOR OPTIMAL DG UNIT'S ALLOCATION IN RADIAL/MESH DISTRIBUTION SYSTEMS TAKE INTO ACCOUNT VOLTAGE STABILITY INDEX , 2015 .

[26]  M.H. Moradi,et al.  A combination of Genetic Algorithm and Particle Swarm Optimization for optimal DG location and sizing in distribution systems , 2010, 2010 Conference Proceedings IPEC.

[27]  Alejandro Garces,et al.  Distribution Systems Operation Considering Energy Storage Devices and Distributed Generation , 2017, IEEE Latin America Transactions.

[28]  M. Kowsalya,et al.  Optimal allocation of solar based distributed generators in distribution system using Bat algorithm , 2016 .

[29]  K. Fahd,et al.  Optimal Power Flow Using Tabu Search Algorithm , 2002 .

[30]  B. K. Panigrahi,et al.  Optimal placement and sizing of DGs in radial distribution system (RDS) using Bat algorithm , 2015, 2015 International Conference on Circuits, Power and Computing Technologies [ICCPCT-2015].

[31]  Belkacem Mahdad,et al.  Adaptive differential search algorithm for optimal location of distributed generation in the presence of SVC for power loss reduction in distribution system , 2016 .

[32]  Hossein Nezamabadi-pour,et al.  An Improved Multi-Objective Harmony Search for Optimal Placement of DGs in Distribution Systems , 2013, IEEE Transactions on Smart Grid.

[33]  Luis F. Ochoa,et al.  State-of-the-Art Techniques and Challenges Ahead for Distributed Generation Planning and Optimization , 2013, IEEE Transactions on Power Systems.

[34]  Dheeraj Kumar Khatod,et al.  Optimal sizing and siting techniques for distributed generation in distribution systems: A review , 2016 .

[35]  Jeng Shiun Lim,et al.  Review of distributed generation (DG) system planning and optimisation techniques: Comparison of numerical and mathematical modelling methods , 2017 .

[36]  E. S. Ali,et al.  Optimal sizing and locations of capacitors in radial distribution systems via flower pollination optimization algorithm and power loss index , 2016 .

[37]  Mahmoud Pesaran H.A,et al.  A review of the optimal allocation of distributed generation: Objectives, constraints, methods, and algorithms , 2017 .