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ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 1 Lecture 19 State plane trajectory of a parallel-loaded tank circuit.

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Presentation on theme: "ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 1 Lecture 19 State plane trajectory of a parallel-loaded tank circuit."— Presentation transcript:

1 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 1 Lecture 19 State plane trajectory of a parallel-loaded tank circuit

2 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 2 Lecture 19 Analysis of series resonant converter Ch. 4 Notes

3 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 3 Lecture 19 Q1 subinterval

4 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 4 Lecture 19 + D1 subinterval

5 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 5 Lecture 19 Q2 subinterval

6 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 6 Lecture 19 Q1 subinterval

7 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 7 Lecture 19 Complete state trajectory

8 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 8 Lecture 19 Tank capacitor charge arguments: Relating the peak tank capacitor voltage to average load current

9 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 9 Lecture 19 Tank capacitor charge arguments: Relating the peak tank capacitor voltage to average load current

10 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 10 Lecture 19 State plane trajectory: Series resonant converter, below resonance, CCM

11 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 11 Lecture 19 Solving for output characteristics

12 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 12 Lecture 19 Elliptical output characteristic

13 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 13 Lecture 19 The output plane: J vs. M for a given F (γ)

14 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 14 Lecture 19 Short-circuit current

15 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 15 Lecture 19 I = V/R J = MQ Overlaying load characteristic on output plane to find solution

16 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 16 Lecture 19 Ellipse equation, with J = MQ: Solve for M: Use quadratic formula: The control plane: M vs. F for a given resistive load

17 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 17 Lecture 19 Comparison with predictions of the sinusoidal approximation

18 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 18 Lecture 19 Diode conduction angle control

19 ECEN 5817 Resonant and Soft-Switching Techniques in Power Electronics 19 Lecture 19 Limits on F for the CCM Q1-D1-Q2-D2 mode (CCM below resonance)

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