Voltage stability of weak power distribution networks with inverter connected sources

Microgrids are power distribution systems in which generation sources are located close to loads. These small distribution networks represent a bottom-up approach for improving power security of critical loads that cannot tolerate disruptions in main grid service. Voltage stability becomes a significant issue in microgrids when the network interconnections are weak. This paper derives sufficient conditions for voltage stability of a weak microgrid with inverter connected sources. These conditions take the form of inequality constraints on various network parameters, loads and generation set points. These conditions can therefore be easily incorporated into optimal dispatch problems.

[1]  L. Moreau,et al.  Stability of continuous-time distributed consensus algorithms , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[2]  Yang Wang,et al.  Small signal analysis of microgrid with multiple micro sources based on reduced order model in islanding operation , 2011, 2011 IEEE Power and Energy Society General Meeting.

[3]  Alireza Bakhshai,et al.  Investigation of droop characteristics and X/R ratio on small-signal stability of autonomous Microgrid , 2011, 2011 2nd Power Electronics, Drive Systems and Technologies Conference.

[4]  I.A. Hiskens,et al.  MPC-Based Load Shedding for Voltage Stability Enhancement , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[5]  Arindam Ghosh,et al.  Droop Control of Converter-Interfaced Microsources in Rural Distributed Generation , 2010, IEEE Transactions on Power Delivery.

[6]  Alessandro Astolfi,et al.  Global stabilization of non-globally linearizable triangular systems: Application to transient stability of power systems , 2011, 2011 50th IEEE Conference on Decision and Control and European Control Conference.

[7]  Dr.-Ing.,et al.  Applicability of droops in low voltage grids , 2022 .

[8]  G. Venkataramanan,et al.  Small Signal Dynamics of Inverter Interfaced Distributed Generation in a Chain-Microgrid , 2007, 2007 IEEE Power Engineering Society General Meeting.

[9]  John Doyle,et al.  A receding horizon generalization of pointwise min-norm controllers , 2000, IEEE Trans. Autom. Control..

[10]  Francesco Bullo,et al.  On the critical coupling strength for Kuramoto oscillators , 2011, Proceedings of the 2011 American Control Conference.

[11]  Florian Dörfler,et al.  On the Critical Coupling for Kuramoto Oscillators , 2010, SIAM J. Appl. Dyn. Syst..

[12]  T.C. Green,et al.  Modeling, Analysis and Testing of Autonomous Operation of an Inverter-Based Microgrid , 2007, IEEE Transactions on Power Electronics.

[13]  S. Iyer,et al.  A Generalized Computational Method to Determine Stability of a Multi-inverter Microgrid , 2010, IEEE Transactions on Power Electronics.

[14]  Michael D Lemmon,et al.  Optimal power flow in microgrids using event-triggered optimization , 2010, Proceedings of the 2010 American Control Conference.

[15]  Florian Dörfler,et al.  Synchronization and transient stability in power networks and non-uniform Kuramoto oscillators , 2009, Proceedings of the 2010 American Control Conference.

[16]  W. S. Mota,et al.  Stability analysis of interconnected power systems coupled with market dynamics , 2001, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

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

[18]  Giri Venkataramanan,et al.  Small Signal Stability Of A Microgrid With Parallel Connected Distributed Generation , 2010, Intell. Autom. Soft Comput..

[19]  Robert Lasseter,et al.  Smart Distribution: Coupled Microgrids , 2011, Proceedings of the IEEE.

[20]  R.H. Lasseter,et al.  Autonomous control of microgrids , 2006, 2006 IEEE Power Engineering Society General Meeting.

[21]  Juan P. Torres,et al.  The Kuramoto model: A simple paradigm for synchronization phenomena , 2005 .

[22]  F.D. Galiana Analytical Investigation of the Power Flow Equations , 1983, 1983 American Control Conference.