Optimal voltage control using singular value decomposition of fast decoupled load flow jacobian

The problem of regulating voltages within the required limits is complicated by the fact that power system supplies power to a vast number of loads and is fed from many generating units. As loads vary, reactive power requirements of the transmission system vary. Moreover, voltage magnitude is relatively less sensitive to active power compared to reactive power due to high X/R ratio of transmission lines. Therefore, separating voltage control from active power is not only justified but also the common and practical way in power transmission systems. Considering these facts, the fast decoupled power flow jacobian can be used to control voltage magnitudes by reactive power compensation. In this paper, an optimal voltage control is presented to obtain new voltage set-points for PV buses by maximizing the effect of input change on output change using the Fast Decoupled Load Flow (FDLF) jacobian matrix. The proposed algorithm was tested on three IEEE systems: 9 bus, 14 bus and 30 bus systems.

[1]  Mathias Kluge,et al.  Electric Power Systems Analysis And Control , 2016 .

[2]  Sukumar Kamalasadan,et al.  A new approach for voltage control area identification based on reactive power sensitivities , 2015, 2015 North American Power Symposium (NAPS).

[3]  Sandro Corsi,et al.  Voltage Control and Protection in Electrical Power Systems: From System Components to Wide-Area Control , 2015 .

[4]  Muhammad Faraz,et al.  Economic analysis of a small hybrid power system , 2015, 2015 Power Generation System and Renewable Energy Technologies (PGSRET).

[5]  Babu Narayanan,et al.  POWER SYSTEM STABILITY AND CONTROL , 2015 .

[6]  C. Vournas.  Power System Voltage Stability , 2015, Encyclopedia of Systems and Control.

[7]  Alvaro Luna,et al.  Impacts of wind energy in-feed on power system small signal stability , 2014, 2014 International Conference on Renewable Energy Research and Application (ICRERA).

[8]  Hasan Ul Banna,et al.  Optimization of an air conditioning unit according to renewable energy availability and user's comfort , 2014, IEEE PES Innovative Smart Grid Technologies, Europe.

[9]  Cosmin Koch-Ciobotaru,et al.  Scope of electrical distribution system architecture considering the integration of renewable energy in large and small scale , 2014, IEEE PES Innovative Smart Grid Technologies, Europe.

[10]  Zexiang Cai,et al.  Study on Reactive Power and Voltage Control in Large Grid Based on Sensitivity Analysis , 2012, 2012 Asia-Pacific Power and Energy Engineering Conference.

[11]  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.

[12]  P. Bosdogianni,et al.  Singular-Value Decomposition (SVD) , 2011, Encyclopedia of Parallel Computing.

[13]  Robert J. Thomas,et al.  MATPOWER's extensible optimal power flow architecture , 2009, 2009 IEEE Power & Energy Society General Meeting.

[14]  David S. Watkins.  The Singular Value Decomposition (SVD) , 2005 .

[15]  A. Bose,et al.  Localized reactive power markets using the concept of voltage control areas , 2004, IEEE Transactions on Power Systems.

[16]  C. Aumuller,et al.  Determination of Power System Coherent Bus Groups by Novel Sensitivity-Based Method for Voltage Stability Assessment , 2002, IEEE Power Engineering Review.

[17]  Anjan Bose,et al.  A NEW SCHEME FOR VOLTAGE CONTROL IN A COMPETITIVE ANCILLARY SERVICE MARKET , 2002 .

[18]  Robert A. Schlueter.  A voltage stability security assessment method , 1998 .

[19]  Hadi Saadat,et al.  Power System Analysis , 1998 .

[20]  Jimmie Gilbert,et al.  Eigenvalues and Eigenvectors , 1995 .

[21]  Robert J. Valenza,et al.  Eigenvalues and Eigenvectors , 1993 .

[22]  Robert A. Schlueter,et al.  Methods for determining proximity to voltage collapse , 1991 .

[23]  J. C. Sabonnadiere,et al.  Structural analysis of the electrical system , 1989 .

[24]  J. C. Sabonnadiere,et al.  Structural Analysis of the Electrical System: Application to Secondary Voltage Control in France , 1989, IEEE Power Engineering Review.

[25]  M. Egan.  Symmetric Matrices and Quadratic Forms , 1945, The Mathematical Gazette.

[26]  H. Banna,et al.  Control System Design to Automate 100KV Impulse Generator , 2022 .