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Next Homework Assignment Problem 1. Ringing caused by transformer leakage inductance. Conventional hard-switched flyback converter. Limit peak transistor voltage using a dissipative snubber circuit Analyze performance via state plane analysis. Announcements.
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Next Homework AssignmentProblem 1 Ringing caused by transformer leakage inductance Conventional hard-switched flyback converter Limit peak transistor voltage using a dissipative snubber circuit Analyze performance via state plane analysis
Announcements • HW #7, Problem #1, Part (b) asks for an expression for power flowing into snubber in terms of F, Ms, M, and Qe. • The expression for M should be
The Parallel Resonant Converter • Basic state plane analysis • The discontinuous conduction mode (DCVM) • Summary of converter characteristics • Design methodologies
DC-DC Parallel Resonant Converter During each interval, the tank circuit reduces to
Steady state solution of state plane1. Find expr. for radii in subintervals 2 and 3(Define angles ζ and ξ)
Steady state solution of state plane2a. Find expr. for jL at end of subinterval 2 (ω0t = γ)
Steady state solution of state plane2b. Find expr. for jL at start of subinterval 3 (ω0t = γ)
Steady state solution of state plane2c. Equate expr. for jL at end of subinterval 2 and (ω0t = γ) start of subinterval 3 (ω0t = γ)
Steady state solution of state plane3a. Find expr. for mc at end of subinterval 2 (ω0t = γ)
Steady state solution of state plane3b. Find expr. for mc at start of subinterval 3 (ω0t = γ)
Steady state solution of state plane3c. Equate expr. for mc at end of subinterval 2 and (ω0t = γ) start of subinterval 3 (ω0t = γ)
Steady state solution of state plane4. Find expr. for φ using jL andmc boundary matching conditions
Steady state solution of state plane5. Solve for JL1 and then M in terms of φ
Steady state solution of state planeTwo possible trajectories for given M and J
Steady state solution of state planeSolve for initial conditions Mc0 and JL0