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General Solution for the Steady-State Characteristics of the Series Resonant Converter

This article provides a comprehensive analysis and solution for the steady-state characteristics of the series resonant converter in both CCM and DCM modes. It covers topics such as elliptical output characteristics, waveforms, mode boundaries, and control plane characteristics.

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General Solution for the Steady-State Characteristics of the Series Resonant Converter

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  1. General Solution for the Steady-State Characteristics of the Series Resonant Converter Type k CCM Mode index k and subharmonic number 

  2. General Solution for the Steady-State Characteristics of the Series Resonant Converter Type k CCM

  3. Type k CCMSteady-State Solution Elliptical output characteristic with Control plane characteristic

  4. Normalization with transformers

  5. Type k CCMWaveforms Switch network output voltage Tank inductor current, odd k (ZCS) Tank inductor current, even k (ZVS)

  6. Type k DCM Tank inductor current, odd k Tank inductor current, even k

  7. Type k DCMSteady State Solution and Mode Boundaries Type k DCM, odd k Output voltage Mode boundaries and Type k DCM, even k Output current Mode boundaries and

  8. Type k DCM Output plane Equivalent model odd k even k

  9. CCM and DCM Boundaries

  10. Complete SRC CharacteristicsControl Plane

  11. SCR Output CharacteristicsAbove Resonance

  12. SRC Output CharacteristicsSelected Modes Below Resonance

  13. The Parallel Resonant Converter • Basic state plane analysis • The discontinuous conduction mode (DCVM) • Summary of converter characteristics • Design methodologies

  14. DC-DC Parallel Resonant Converter During each interval, the tank circuit reduces to

  15. State plane trajectory

  16. Averaging and flux linkage arguments

  17. Averaging and flux linkage arguments

  18. Steady-state solution

  19. Steady state solution of state plane1. Find expr. for radii in subintervals 2 and 3(Define angles ζ and ξ)

  20. Steady state solution of state plane2a. Find expr. for jL at end of subinterval 2 (ω0t = γ)

  21. Steady state solution of state plane2b. Find expr. for jL at start of subinterval 3 (ω0t = γ)

  22. Steady state solution of state plane2c. Equate expr. for jL at end of subinterval 2 and (ω0t = γ) start of subinterval 3 (ω0t = γ)

  23. Steady state solution of state plane3a. Find expr. for mc at end of subinterval 2 (ω0t = γ)

  24. Steady state solution of state plane3b. Find expr. for mc at start of subinterval 3 (ω0t = γ)

  25. Steady state solution of state plane3c. Equate expr. for mc at end of subinterval 2 and (ω0t = γ) start of subinterval 3 (ω0t = γ)

  26. Steady state solution of state plane4. Find expr. for φ using jL andmc boundary matching conditions

  27. Steady state solution of state plane5. Solve for JL1 and then M in terms of φ

  28. Steady state solution of state plane6. Two possible trajectories for given M and J

  29. Two possible trajectories for given M and J

  30. Two possible trajectories for given M and J

  31. CCM output plane characteristics

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