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Reduction of power converter size through increase of switching frequency • Increasing switching frequency reduces value and size of filter inductances and capacitances • Up to a point, increasing switching frequency reduces transformer size • Increasing switching frequency increases switching loss: Psw = fsw ∆vds Qsw • Much R&D effort has been devoted to increasing the switching frequency and reducing the loss in highdensity power supplies • Approaches to achieve these goals include use of resonant converters and soft switching techniques Fundamentals of Power Electronics 1 Chapter 19: Resonant Conversion 4.3. Switching loss • Energy is lost during the semiconductor switching transitions, via several mechanisms: • Transistor switching times • Diode stored charge • Energy stored in device capacitances and parasitic inductances • Semiconductor devices are charge controlled • Time required to insert or remove the controlling charge determines switching times Fundamentals of Power Electronics 2 Chapter 19: Resonant Conversion 4.3.1. Transistor switching with clamped inductive load Buck converter example transistor turn-off transition Loss: Fundamentals of Power Electronics 3 Chapter 19: Resonant Conversion 4.3.4. Efficiency vs. switching frequency Add up all of the energies lost during the switching transitions of one switching period: Average switching power loss is Total converter loss can be expressed as where Fundamentals of Power Electronics Pfixed = fixed losses (independent of load and fsw) Pcond = conduction losses 4 Chapter 19: Resonant Conversion Efficiency vs. switching frequency Switching losses are equal to the other converter losses at the critical frequency This can be taken as a rough upper limit on the switching frequency of a practical converter. For fsw > fcrit, the efficiency decreases rapidly with frequency. Fundamentals of Power Electronics 5 Chapter 19: Resonant Conversion Soft switching: Zero-voltage and zero-current switching vs1 (t) Vg vs(t) Soft switching can mitigate some t of the mechanisms of switching loss and possibly reduce the generation of EMI Semiconductor devices are switched on or off at the zero crossing of their or current waveforms –voltage V g is(t) t Conducting D 1 devices: D 4 “Soft” turn-on of Q 1, Q 4 t Q1 Q4 D2 D3 Q2 Q3 Conduction sequence: D1–Q1–D2–Q2 Q1 is turned on during D1 conduction interval, without loss “Hard” “Soft” “Hard” turn-off of turn-on of turn-off of Q 1, Q 4 Q 2, Q 3 Q2, Q3 Fundamentals of Power Electronics 6 Chapter 19: Resonant Conversion Soft switching in a PWM converter Example: forward converter with active clamp circuit Forward converter Switching transitions are resonant, remainder of switching period is not resonant Transistors operate with zero voltage switching Beware of patent issues Fundamentals of Power Electronics 7 Chapter 19: Resonant Conversion Analysis of resonant converters Series resonant dc-dc converter example • Complex! • Small ripple approximation is not valid Need new approaches: • Sinusoidal approximation • State plane analysis Fundamentals of Power Electronics 8 Chapter 19: Resonant Conversion Outline of course 1. Analysis of resonant converters using the sinusoidal approximation • Classical series, parallel, LCC, and other topologies • Sinusoidal model • Zero voltage and zero current switching • Resonant converter design techniques based on frequency response 2. Sinusoidal analysis: small-signal ac behavior with frequency modulation • Spectra, beating, and envelope response • Phasor transform method 3. State-plane analysis of resonant, quasi-resonant, and other soft-switching converters • Fundamentals of state-plane and averaged modeling of resonant circuits • Exact analysis of the series and parallel resonant dc-dc converters Fundamentals of Power Electronics 9 Chapter 19: Resonant Conversion Outline, p. 2 4. Resonant switch and related converters • Quasi-resonant topologies and their analysis via state-plane approach • Quasi-square wave converters • Zero voltage transition converter • Soft switching in forward and flyback converters • Multiresonant and class E converter 5. Server systems, portable power, and green power issues • Modeling efficiency vs. load, origins of loss • Variable frequency approaches to improving light-load efficiency – DCM – Burst mode • Effects of parallel modules • DC transformers Fundamentals of Power Electronics 10 Chapter 19: Resonant Conversion