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Published byKonrad Orłowski Modified over 5 years ago
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Outline of discussion DIRECT MODELING APPROACH
How small-signal variations in the switching frequency affect the spectrum of the switch network output voltage vs1(t) Passing the frequency-modulated voltage vs1(t) through the tank transfer function H(s) leads to amplitude modulation of the output voltage v(t) How to recover the envelope of the output voltage and determine the small-signal control-to-output-envelope transfer function Genv(s) PHASOR TRANSFORMATION APPROACH Equivalent circuit modeling via the phasor transform PSPICE simulation of Genv(s) using the phasor transform
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1. Spectrum of vs1(t)
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Spectra of frequency-modulated signal
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Spectra of frequency-modulated signal via Bessel functions
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Dynamic analysis of resonant inverters
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Assumptions so far
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2. Effect of the tank transfer function
narrowband
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One way
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Phasor analysis
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Total output voltage and envelope
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Intepretation: time-varying phasor representation of output voltage
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3. Extract expression for envelope
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Square and linearization
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Square root and linearization
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Result: Small-signal expression for envelope
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The transfer function Genv(s)
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