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Small-signal analysis of frequency-controlled electronic ballasts

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4 Author(s)
Yan Yin ; Dept. of Electr. & Comput. Eng., Univ. of Colorado, Boulder, CO, USA ; Zane, R. ; Glaser, J. ; Erickson, R.W.

This paper presents analytical tools aimed at improving and simplifying the development of frequency-controlled dimming electronic ballasts. A modified phasor transformation is proposed that converts a frequency-modulated signal into an equivalent time-varying phasor. The proposed transformation is applied to develop a complete small-signal phasor model of the LCC resonant ballast, which explicitly models the effect of the frequency modulation on the envelopes of the outputs. A Spice-compatible implementation of the model is presented that facilitates ac analysis of the ballast in addition to envelope transient simulation, and is verified through comparison of experimental and simulation results. A closed-form solution of the control-to-output current transfer function for the ballast-resistor system is presented, along with key observations of the pole locations and low-frequency gain that facilitate simple and intuitive compensator design. The effects of lamp dynamics on the controller design are discussed, followed by a design example for the feedback controller.

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:50 ,  Issue: 8 )