Optimal Placement of Distributed Generations with Semidefinite Optimization Technique

This paper presents a semidefinite optimization technique for finding optimal size and operating strategy of distributed generation (DG) units in both transmission system and radial distribution system. The optimal sizing and location problem is formulated with the multi-objective performance indices which include the size of DGs, loss reduction subject to the load flow and restrictions of voltage magnitude for each bus. The method has been tested in the 33-bus and 69-bus radial distribution system and 30-bus transmission system considering single and multiple DG units and optimal power factors of DG units.

[1]  Jesse T. Holzer,et al.  Implementation of a Large-Scale Optimal Power Flow Solver Based on Semidefinite Programming , 2013, IEEE Transactions on Power Systems.

[2]  D. Singh,et al.  Multiobjective Optimization for DG Planning With Load Models , 2009, IEEE Transactions on Power Systems.

[3]  J. Lavaei,et al.  Convex relaxation for optimal power flow problem: Mesh networks , 2013, 2013 Asilomar Conference on Signals, Systems and Computers.

[4]  H. L. Willis,et al.  Analytical methods and rules of thumb for modeling DG-distribution interaction , 2000, 2000 Power Engineering Society Summer Meeting (Cat. No.00CH37134).

[5]  S. Low,et al.  Zero Duality Gap in Optimal Power Flow Problem , 2012, IEEE Transactions on Power Systems.

[6]  Ramesh C. Bansal,et al.  Analytical strategies for renewable distributed generation integration considering energy loss minimization , 2013 .

[7]  R. Jabr.  Radial distribution load flow using conic programming , 2006, IEEE Transactions on Power Systems.

[8]  Sara Eftekharnejad,et al.  Impact of increased penetration of photovoltaic generation on power systems , 2013, IEEE Transactions on Power Systems.

[9]  Felix F. Wu,et al.  Network Reconfiguration in Distribution Systems for Loss Reduction and Load Balancing , 1989, IEEE Power Engineering Review.

[10]  E.F. El-Saadany,et al.  Optimal Renewable Resources Mix for Distribution System Energy Loss Minimization , 2010, IEEE Transactions on Power Systems.

[11]  Caisheng Wang,et al.  Analytical approaches for optimal placement of distributed generation sources in power systems , 2004, IEEE Transactions on Power Systems.

[12]  Nadarajah Mithulananthan,et al.  AN ANALYTICAL APPROACH FOR DG ALLOCATION IN PRIMARY DISTRIBUTION NETWORK , 2006 .

[13]  Vishal Kumar,et al.  Hybrid approach for optimal placement of multiple DGs of multiple types in distribution networks , 2016 .

[14]  L.F. Ochoa,et al.  Distribution network capacity assessment: Variable DG and active networks , 2010, IEEE PES General Meeting.

[15]  Monique Laurent,et al.  Semidefinite optimization , 2019, Graphs and Geometry.

[16]  H. Sasaki,et al.  Multiobjective optimal generation dispatch based on probability security criteria , 1988 .

[17]  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.

[18]  K. Fujisawa,et al.  Semidefinite programming for optimal power flow problems , 2008 .

[19]  Vishal Kumar,et al.  Optimal placement of different type of DG sources in distribution networks , 2013 .

[20]  Kwang Y. Lee,et al.  Determining PV Penetration for Distribution Systems With Time-Varying Load Models , 2014, IEEE Transactions on Power Systems.

[21]  Nadarajah Mithulananthan,et al.  Multiple Distributed Generator Placement in Primary Distribution Networks for Loss Reduction , 2013, IEEE Transactions on Industrial Electronics.

[22]  M. E. El-Hawary,et al.  Optimal Distributed Generation Allocation and Sizing in Distribution Systems via Artificial Bee Colony Algorithm , 2011, IEEE Transactions on Power Delivery.

[23]  Nadarajah Mithulananthan,et al.  Optimal placement of dispatchable and nondispatchable renewable DG units in distribution networks for minimizing energy loss , 2014 .

[24]  Michal Wierzbowski,et al.  MILP model for long-term energy mix planning with consideration of power system reserves , 2016 .

[25]  Li Xing-yuan,et al.  Voltage Stability Analysis of Radial Distribution Networks , 2002 .

[26]  A. Lashkar Ara,et al.  A hybrid of ant colony optimization and artificial bee colony algorithm for probabilistic optimal placement and sizing of distributed energy resources , 2015 .

[27]  Masakazu Kojima,et al.  Implementation and evaluation of SDPA 6.0 (Semidefinite Programming Algorithm 6.0) , 2003, Optim. Methods Softw..

[28]  R. G. Cespedes,et al.  New method for the analysis of distribution networks , 1990 .

[29]  Yunhua Li,et al.  Optimal Placement and Sizing of Distributed Generation via an Improved Nondominated Sorting Genetic Algorithm II , 2015, IEEE Transactions on Power Delivery.

[30]  Kashem M. Muttaqi,et al.  Optimizing distributed generation parameters through economic feasibility assessment , 2016 .