Large signal stability analysis of a DC/AC droop controlled inverter connected to an infinite bus

The large signal stability of a dc/ac inverter connected to an infinite bus is explored. The study aims to understand if a droop controlled inverter can lose synchronism with an infinite bus. Specifically, the analysis is completed using Lyapunov-based mathematical techniques. The 13th order mathematical model of a droop controlled inverter connected to an infinite bus is generated. An algorithm is used to estimate the domain of asymptotic attraction of the system. The effect of system parameters on the domain of attraction are explored. Moreover, the effect of control parameters are studied. Results suggest that a droop controlled inverter requires a long fault time or large transient to lose synchronism with the infinite bus. Numerical results validated the estimated domain of attraction.

[1]  S V Iyer,et al.  Analysis and Mitigation of Voltage Offsets in Multi-inverter Microgrids , 2011, IEEE Transactions on Energy Conversion.

[2]  W. Marsden.  I and J , 2012 .

[3]  Francisco Gordillo,et al.  Singular perturbation stability analysis of three phase two-level power converters , 2010, 18th Mediterranean Conference on Control and Automation, MED'10.

[4]  Bernard Lesieutre,et al.  Energy function for a grid-tied, droop-controlled inverter , 2014, 2014 North American Power Symposium (NAPS).

[5]  Mohammad Shahidehpour,et al.  Handbook of electrical power system dynamics : modeling, stability, and control , 2013 .

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

[7]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[8]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[9]  B. Nahid-Mobarakeh,et al.  Large Signal Stability Analysis Tools in DC Power Systems With Constant Power Loads and Variable Power Loads—A Review , 2012, IEEE Transactions on Power Electronics.

[10]  M. A. Pai,et al.  Power System Transient Stability: Regions Using Popov's Method , 1970 .

[11]  Peter W. Sauer,et al.  Power System Dynamics and Stability , 1997 .

[12]  Josep M. Guerrero,et al.  Study of large-signal stability of an inverter-based generator using a Lyapunov function , 2014, IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society.

[13]  Junming Zhang,et al.  Stability Criterion for Cascaded System With Constant Power Load , 2013, IEEE Transactions on Power Electronics.