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

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Presentation on theme: "General Solution for the Steady-State Characteristics of the Series Resonant Converter Type k CCM Mode index k and subharmonic number "— Presentation transcript:

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 CCM Steady-State Solution
Elliptical output characteristic with Control plane characteristic

4

5 Normalization with transformers

6 Type k CCM Waveforms Switch network output voltage
Tank inductor current, odd k (ZCS) Tank inductor current, even k (ZVS)

7 Type k DCM Tank inductor current, odd k Tank inductor current, even k

8 Type k DCM Steady 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

9 Type k DCM Output plane Equivalent model odd k even k

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11 CCM and DCM Boundaries

12 Complete SRC Characteristics Control Plane

13 SCR Output Characteristics Above Resonance

14 SRC Output Characteristics Selected Modes Below Resonance

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

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

17 State plane trajectory

18 Averaging and flux linkage arguments

19 Averaging and flux linkage arguments

20 Steady-state solution

21 Steady state solution of state plane 1. Find expr
Steady state solution of state plane 1. Find expr. for radii in subintervals 2 and 3 (Define angles ζ and ξ)

22 Steady state solution of state plane 2a. Find expr
Steady state solution of state plane 2a. Find expr. for jL at end of subinterval 2 (ω0t = γ)

23 Steady state solution of state plane 2b. Find expr
Steady state solution of state plane 2b. Find expr. for jL at start of subinterval 3 (ω0t = γ)

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

25 Steady state solution of state plane 3a. Find expr
Steady state solution of state plane 3a. Find expr. for mc at end of subinterval 2 (ω0t = γ)

26 Steady state solution of state plane 3b. Find expr
Steady state solution of state plane 3b. Find expr. for mc at start of subinterval 3 (ω0t = γ)

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

28 Steady state solution of state plane 4. Find expr
Steady state solution of state plane 4. Find expr. for φ using jL and mc boundary matching conditions

29 Steady state solution of state plane 5
Steady state solution of state plane 5. Solve for JL1 and then M in terms of φ

30 Steady state solution of state plane 6
Steady state solution of state plane 6. Two possible trajectories for given M and J

31 Two possible trajectories for given M and J

32 Two possible trajectories for given M and J

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35 CCM output plane characteristics


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