A novel MIQCP method for FACTS allocation in complex real-world grids

Abstract This paper presents a novel Flexible AC Transmission Systems (FACTS) placement method based on mixed integer quadratically constrained programming (MIQCP). The method is capable of allocating both Static VAR Compensator (SVC) and Thyristor-Controlled Series Capacitor (TCSC) either separately or simultaneously, to determine concurrently their numbers, locations as well as sizes. The optimization objective is to maximize loadability and minimize compensation. The proposed MIQCP formulation partially incorporates key quadratic constraints, which were absent in mixed integer linear programming (MILP) placement methods reported in the past. The authors demonstrate significant improvements in accuracy over past MILP methods, with case studies presented on the simplified Southeast Australian network, and on a large scale real-world power system, Powerlink Queensland’s HV transmission network, with 886 buses and 1087 branches. In addition, results and observations for simultaneous allocation of multiple TCSCs and SVCs in these networks are demonstrated in this paper.

[1]  Laszlo Gyugyi,et al.  Understanding FACTS: Concepts and Technology of Flexible AC Transmission Systems , 1999 .

[2]  T. K. Saha,et al.  Application of MIQCP based SVC allocation method to a complex real-world grid , 2012, 2012 IEEE Power and Energy Society General Meeting.

[3]  R D Zimmerman,et al.  MATPOWER: Steady-State Operations, Planning, and Analysis Tools for Power Systems Research and Education , 2011, IEEE Transactions on Power Systems.

[4]  O.P. Malik,et al.  Design of an Adaptive PSS Based on Recurrent Adaptive Control Theory , 2009, IEEE Transactions on Energy Conversion.

[5]  P. Jirapong,et al.  Total transfer capability enhancement with optimal number of FACTS controllers using hybrid TSSA , 2012, 2012 Proceedings of IEEE Southeastcon.

[6]  Peerapol Jirapong,et al.  Optimal placement of multi-type FACTS devices to enhance Total Transfer Capability using Improved Evolutionary Programming , 2009 .

[7]  Seungwon An,et al.  An Ideal Transformer UPFC Model, OPF First-Order Sensitivities, and Application to Screening for Optimal UPFC Locations , 2007, IEEE Transactions on Power Systems.

[8]  Robert H. Lasseter,et al.  The impact of generation mix on placement of static VAr compensators , 1999 .

[9]  Jing Zhang,et al.  A Novel SVC Allocation Method for Power System Voltage Stability Enhancement by Normal Forms of Diffeomorphism , 2007, IEEE Transactions on Power Systems.

[10]  T. K. Saha,et al.  Mixed-integer method for optimal UPFC placement based on line flow-based equations , 2010, 2010 20th Australasian Universities Power Engineering Conference.

[11]  P. Yan,et al.  Steady-state analysis of power system having multiple FACTS devices using line-flow-based equations , 2005 .

[12]  Ivana Kockar,et al.  Phase shifter placement in large-scale systems via mixed integer linear programming , 2003 .

[13]  T. K. Saha,et al.  Maximizing power system loadability by optimal allocation of svc using mixed integer linear programming , 2010, IEEE PES General Meeting.

[14]  Graeme Burt,et al.  Optimal flexible alternative current transmission system device allocation under system fluctuations due to demand and renewable generation , 2010 .

[15]  Seema Singh,et al.  Placement of FACTS controllers using modal controllability indices to damp out power system oscillations , 2007 .

[16]  Md Shahjahan,et al.  Localization of FACTS devices for optimal power flow using Genetic Algorithm , 2014, 2013 International Conference on Electrical Information and Communication Technology (EICT).

[17]  Zhao Yang Dong,et al.  TCSC Allocation Based on Line Flow Based Equations Via Mixed-Integer Programming , 2007, IEEE Transactions on Power Systems.

[18]  Youcef Amrane,et al.  Optimal Reactive Power Planning based on Particle Swarm applied to the Algerian electrical power system , 2013, 3rd International Conference on Systems and Control.

[19]  C. Floudas.  Nonlinear and Mixed-Integer Optimization: Fundamentals and Applications , 1995 .

[20]  S. Gerbex,et al.  Optimal Location of Multi-Type FACTS Devices in a Power System by Means of Genetic Algorithms , 2001, IEEE Power Engineering Review.