Though a number of algorithms were proposed in literature to improve the convergence performance of the AC model

Abstract— Full AC power flow model is an accurate mathematical model for representing the physical power systems. In practice, however, the utilization of this model is limited due to the computational complexity associated with its non-linear and non-convexity characteristics. An alternative linearized DC power flow model is widely used in today’s power system operation and planning tools. However, when reactive power and voltage magnitude are of concern, DC power flow model will be useless. Therefore, a linearized AC (LAC) power flow model is needed to address this issue. This paper first introduces a regular LAC model; subsequently, with the advance in regression analysis technique, a data-driven linearized AC (DLAC) model is proposed to improve the regular LAC model. Numerical simulations conducted on the Tennessee Valley Authority (TVA) system demonstrate the performance and effectiveness of the proposed DLAC model.

[1]  Jun Yan,et al.  Cascading Failure Analysis With DC Power Flow Model and Transient Stability Analysis , 2015, IEEE Transactions on Power Systems.

[2]  Andrés Feijóo,et al.  An analytical method to solve the probabilistic load flow considering load demand correlation using the DC load flow , 2014 .

[3]  Pascal Van Hentenryck,et al.  A Linear-Programming Approximation of AC Power Flows , 2012, INFORMS J. Comput..

[4]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[5]  Vijay Vittal,et al.  An Improved Network Model for Transmission Expansion Planning Considering Reactive Power and Network Losses , 2014, IEEE Transactions on Power Systems.

[6]  Claudio A. Canizares,et al.  Revisiting the power flow problem based on a mixed complementarity formulation approach , 2013 .

[7]  Nils D. Kraiczy,et al.  Innovations in Small and Medium-Sized Family Firms: An Analysis of Innovation Related Top Management Team Behaviors and Family Firm-Specific Characteristics , 2013 .

[8]  Di Shi,et al.  Impact of assumptions on DC power flow model accuracy , 2012, 2012 North American Power Symposium (NAPS).

[9]  Arie M. C. A. Koster,et al.  Designing AC Power Grids Using Integer Linear Programming , 2011, INOC.

[10]  F. Hover,et al.  Linear Relaxations for Transmission System Planning , 2011, IEEE Transactions on Power Systems.

[11]  Hsiao-Dong Chiang,et al.  Fast Newton-FGMRES Solver for Large-Scale Power Flow Study , 2010, IEEE Transactions on Power Systems.

[12]  O. Alsaç,et al.  DC Power Flow Revisited , 2009, IEEE Transactions on Power Systems.

[13]  Xu Cheng,et al.  PTDF-based power system equivalents , 2005, IEEE Transactions on Power Systems.

[14]  R. Belmans,et al.  Usefulness of DC power flow for active power flow analysis , 2005, IEEE Power Engineering Society General Meeting, 2005.

[15]  J. Brian Gray,et al.  Introduction to Linear Regression Analysis , 2002, Technometrics.

[16]  William F. Tinney,et al.  Iterative Linear AC Power Flow Solution for Fast Approximate Outage Studies , 1972 .