ECEN5817, ECEE Department, University of Colorado at BoulderPossible ways to add resonant components to the PWM switch cell: classification of resonant-switch convertersECEN 58171PWM switch cellQDConverter examplesHigh-frequency view of the switch networkDQDQQDBasic switch implementation optionsECEN 58172QDQ: single-quadrant (transistor)D: single-quadrant (diode)Q: current-bidirectional (e.g. MOSFET)D: current-bidirectional synchronous rectifier (e.g. MOSFET)ECEN5817, ECEE Department, University of Colorado at BoulderZCS-QR switch cellQDConverter examplesHigh-frequency view of the switch networkDQDQQDBasic switch implementation optionsECEN 58173QDHalf-wave:Q: voltage-bidirectional (transistor+diode)D: single-quadrant (diode)Full-wave:Q: current-bidirectional (e.g. MOSFET)D: single-quadrant (diode)ZVS-QR switch cellQDConverter examplesHigh-frequency view of the switch networkDQDQQDBasic switch implementation optionsECEN 58174QDHalf-wave:Q: voltage-bidirectional (transistor+diode)D: single-quadrant (diode)Full-wave:Q: current-bidirectional (e.g. MOSFET)D: single-quadrant (diode)ECEN5817, ECEE Department, University of Colorado at BoulderZCS-QSW switch cellQDConverter examplesHigh-frequency view of the switch networkDQDQQDBasic switch implementation optionsECEN 58175QDQ: voltage-bidirectional (transistor+diode)D: single-quadrant (diode)ZVS-QSW switch cellQDConverter examplesHigh-frequency view of the switch networkDQDQQDBasic switch implementation optionsECEN 58176QDQ: current-bidirectional (e.g. MOSFET)D: single-quadrant (diode)Q: current-bidirectional (e.g. MOSFET)D: current-bidirectional synchronous rectifier (e.g. MOSFET)ECEN5817, ECEE Department, University of Colorado at BoulderProblem 20.2 exampleECEN 58177Analysis of quasi-square-wave ZVS convertersD1i1(t) i2(t)LrIV1Lr–V2Lri2(t)ZVS-QSW buck: single-transistor case+–CrVgD2Q1+v2(t)–+v1(t)–LCR+V–0Tsv2(t)V10t0Conductingdevices:D2XXQ1D1Resonant transitions but transistor and diode conduction intervals are similar to PWMPeak voltages applied to ECEN 58178similar to PWMTank capacitor is in parallel with all semiconductor devices, hence all semiconductors operate with ZVSPeak currents are increased, and are similar to DCMgppsemiconductors are same as PWMMagnetics are small, and are similar to DCMECEN5817, ECEE Department, University of Colorado at BoulderSingle-transistor ZVS-QSW waveforms and state-plane analysismc+V1_+V_LC+vci1iLD1D2Q1jlmcotoTs12345_ECEN 58179jlot Devices conductingInterval 1: Q1conduction+V1_+V_LC+vc_i1iLD1D2Q1ECEN 581710ECEN5817, ECEE Department, University of Colorado at BoulderInterval 2: transition+V1_+V_LC+vc_i1iLD1D2Q1ECEN 581711Interval 3: D2conduction+V1_+V_LC+vc_i1iLD1D2Q1ECEN 581712ECEN5817, ECEE Department, University of Colorado at BoulderInterval 4: transition+V1_+V_LC+vc_i1iLD1D2Q1ECEN 581713Interval 5: D1conduction+V1_+V_LC+vc_i1iLD1D2Q1ECEN 581714ECEN5817, ECEE Department, University of Colorado at BoulderAverage output currentECEN 581715Average switch input current+V1_+V_LC+vc_i1iLD1D2Q1ECEN 581716ECEN5817, ECEE Department, University of Colorado at BoulderControl input: transistor/diode conduction angle ECEN 581717A way to solve and plot the characteristicsECEN 581718ECEN5817, ECEE Department, University of Colorado at BoulderSolving, p 2ECEN 581719Results: Switch conversion ratio µ vs. FECEN 581720ECEN5817, ECEE Department, University of Colorado at BoulderSwitch conversion ratio µ vs. ECEN 581721Course website contains Excel spreadsheet (with function macros) that evaluates the above equations and can plot the above