Loadability formulation and calculation for interconnected distribution systems considering N-1 security

Abstract Traditional distribution loadability applies to radial systems; this paper proposes a new concept of loadability considering N-1 security principle for interconnected distribution systems, in which feeders are connected with normally-open tie-switches. Firstly, this paper presents a nonlinear model to formulate the N-1 loadability, in which network topology, thermal rating of lines and substation transformers, voltage limits and losses are considered. Secondly, Generalized Reduced Gradient (GRG) method is then used to solve the nonlinear programming problem. Meanwhile, a backward/forward sweep algorithm is also employed to solve the load flow calculation in the model. Finally, both an IEEE RBTS case and a real system are given to illustrate the proposed model and calculation method; and the accuracy is verified by the traditional N-1 contingency simulation.

[1]  Jose L. Martinez-Ramos,et al.  Assessing the loadability of active distribution networks in the presence of DC controllable links , 2011 .

[2]  Chengshan Wang,et al.  Total supply capability and its extended indices for distribution systems: definition, model calculation and applications , 2011 .

[3]  Karen Nan Miu,et al.  Electric distribution system load capability: problem formulation, solution algorithm, and numerical results , 2000 .

[4]  Juan Yu,et al.  Letter to the Editor: A New Line Loadability Index for Radial Distribution Systems , 2008 .

[5]  D. Shirmohammadi,et al.  A compensation-based power flow method for weakly meshed distribution and transmission networks , 1988 .

[6]  Zhihua Qu,et al.  Loadability of power systems with steady-state and dynamic security constraints , 2003 .

[7]  Costas D. Vournas,et al.  Maximizing Power-System Loadability in the Presence of Multiple Binding Complementarity Constraints , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[8]  G.W. Chang,et al.  An Improved Backward/Forward Sweep Load Flow Algorithm for Radial Distribution Systems , 2007, IEEE Transactions on Power Systems.

[9]  Generalized reduced gradient method as an extension of feasible direction methods , 1977 .

[10]  Fengzhang Luo,et al.  Rapid evaluation method for power supply capability of urban distribution system based on N − 1 contingency analysis of main-transformers , 2010 .

[11]  R. Gutman,et al.  Analytical Development of Loadability Characteristics for EHV and UHV Transmission Lines , 1979, IEEE Transactions on Power Apparatus and Systems.

[12]  Bala Venkatesh,et al.  Optimal reconfiguration of radial distribution systems to maximize loadability , 2004 .

[13]  Chengshan Wang,et al.  Distribution system security region: definition, model and security assessment , 2012 .

[14]  Haozhong Cheng,et al.  Probabilistic Evaluation of Available Load Supply Capability for Distribution System , 2013, IEEE Transactions on Power Systems.