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Midterm Exam Averages: • all students 78.1 • on-campus students 78.3 • off-campus students 77.8 Grade curve • A 85 - 100 • A80 - 84 • B+ 75 - 79 • B 65 - 74 • B60 - 64 • C+ 55 - 59 • C 45 - 54 • C40 - 44 Averages by problem: 1. 29.2/35 83.5% 2. 21.7/30 72.2% 3. 27.2/35 77.8% ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 1 • D+ • D • F 35 - 39 25 - 34 0 - 24 Lecture 36 Soft-switching converters with constant switching frequency With two or more active switches, we can obtain zero-voltage switching in converters operating at constant switching frequency Often, the converter characteristics are nearly the same as their hardswitched PWM parent converters The second switch may be one that is already in the PWM parent converter (synchronous rectifier, or part of a half or full bridge). Sometimes, it is not, and is a (hopefully small) auxiliary switch Examples: • Two-switch quasi-square wave (with synchronous rectifier) • Two-switch multiresonant (with synchronous rectifier) • Phase-shifted bridge with zero voltage transitions • Forward or other converter with active clamp circuit These converters can exhibit stresses and characteristics that approach those of the parent hard-switched PWM converter (especially the last two), but with zero-voltage switching over a range of operating points ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 2 Lecture 36 Quasi-square wave buck with two switches Original one-switch version • Q2 can be viewed as a synchronous rectifier • Additional degree of control is possible: let Q2 conduct longer than D2 would otherwise conduct • Constant switching frequency control is possible, with behavior similar to conventional PWM Add synchronous rectifier • Can obtain µ < 0.5 • See Maksimovic PhD thesis, 1989 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 3 Lecture 36 State plane • Remaining details of analysis left as homework problem ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 4 Lecture 36 Characteristics: 1 transistor version µ vs. F ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 5 Lecture 36 Waveforms and definition of duty cycle, 2 transistors • Here, the controller duty cycle Dc is defined as the duty cycle that would be chosen by a conventional PWM chip. • The resonant transitions are “dead times” that occur at the beginning of the DTs and D’Ts intervals. ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 6 Lecture 36 Constant-frequency control characteristics two switch quasi-resonant buck converter Constant frequency, duty cycle control: Low output impedance, µ doesn’t depend much on J Very similar to conventional PWM CCM buck converter, but exhibits ZVS over a range of operating points ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 7 Lecture 36 ZVS boundary Reducing F = fs/f0 leads to ZVS over a wider range of µ and J ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 8 Lecture 36 The multiresonant switch Basic single-transistor version Synchronous rectifier version ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 9 Lecture 36 Multiresonant switch characteristics Single transistor version Analysis via state plane in supplementary course notes ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 10 Lecture 36 Multiresonant switch characteristics Two-transistor version with constant frequency ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 11 Lecture 36 Zero-voltage transition converters The phase-shifted full bridge converter Buck-derived full-bridge converter A popular converter for server frontend power systems Zero-voltage switching of each halfbridge section Each half-bridge produces a square wave voltage. Phase-shifted control of converter output ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 12 Efficiencies of 90% to 95% regularly attained Controller chips available Lecture 36 Phase-shifted control Approximate waveforms and results (as predicted by analysis of the parent hardswitched converter) ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 13 Lecture 36 Actual waveforms, including resonant transitions • Analysis in an upcoming lecture ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 14 Lecture 36 Effect of ZVT: reduction of effective duty cycle ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 15 Lecture 36 ZVS active clamp circuits The auxiliary switch approach Forward converter implementation Flyback converter implementation • Circuit can be added to any single switch in a PWM converter • Main switch plus auxiliary switch behave as half-bridge circuit with deadtime zero-voltage transitions • Beware of patent issues ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 16 Lecture 36 Forward converter implementation • Zero-voltage switching of both transistors • Analysis in an upcoming lecture ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics • Resonant reset of transformer reduces transistor peak voltage, relative to traditional forward converter with auxiliary reset winding • Small increase of rms transistor current 17 Lecture 36 Summary: recent soft-switched approaches with multiple transistors Represents an evolution beyond the quasi-square wave approach Zero-voltage transitions in the half-bridge circuit Output filter inductor operates in CCM with small ripple Circuit approaches that minimize the amount of extra current needed to attain zero-voltage switching -- these become feasible when there is more than one active switch Constant frequency operation Often, the converter characteristics reduce to a potentially small variation from the characteristics of the parent hard-switched PWM converter Commercial controllers are sometimes available Sometimes a conventional voltage-mode or current-mode PWM controller can be used -- just need to add dead times State-plane analysis of full-bridge ZVT and of active-clamp circuits to come ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 18 Lecture 36