Self-oscillating electronic ballast analysis using the relay systems approach

In this paper, the authors analyze the self-oscillating LC parallel resonant inverter for electronic ballast applications from a control system point of view. It is observed that the self-oscillating parallel resonant inverter with lamp loads can be naturally modeled as a relay system with negative hysteresis. Based on this formulation, the self-oscillating frequencies of the circuit are found via the time-domain-based Hamel locus. Also, the predicted self-oscillating frequencies via the describing function approach and the Hamel locus approach are compared with the prototype measurement results. It turns out that the accuracy of the frequency prediction via the Hamel locus approach is high, while the accuracy via the describing function approach is circuit Q-value dependent.

[1]  S. E. Khaikin,et al.  Theory of Oscillators , 1966 .

[2]  I︠a︡. Z. T︠S︡ypkin.  Relay Control Systems , 1985 .

[3]  George C. Verghese,et al.  Principles of Power Electronics , 2023 .

[4]  Chin Chang,et al.  Analysis of the self-oscillating series resonant inverter for electronic ballasts , 1997, IAS '97. Conference Record of the 1997 IEEE Industry Applications Conference Thirty-Second IAS Annual Meeting.

[5]  L. R. Nerone,et al.  A mathematical model of the Class D converter for compact fluorescent ballasts , 1995 .

[6]  Fred Y. Lee,et al.  Nonlinear Analysis of a Family of LC Tuned Inverters , 1975, IEEE Transactions on Aerospace and Electronic Systems.

[7]  Marc Pelegrin,et al.  Feedback control systems : analysis, synthesis and design , 1959 .

[8]  G. H. Royer.  A switching transistor D-C to A-C converter having an output frequency proportional to the D-C input voltage , 1955, Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics.

[9]  Thomas Roddam.  Transistor inverters and converters , 1963 .