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ECE631/EE631Q Lecture 16: Average Value Model

This lecture focuses on creating an Average Value Model (AVM) for a 3-phase bridge inverter, emphasizing the inclusion of conduction losses while ignoring switching losses. Key semiconductor components such as transistors and diodes are modeled, and the presentation highlights the current and voltage reference frames. It covers modulation strategies including sine-triangle modulation with third harmonic injection, and provides insights into the desired magnitudes for unsaturated operation. The results and analysis of both unsaturated and saturated operation are discussed, offering a comprehensive view of the inverter's performance.

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ECE631/EE631Q Lecture 16: Average Value Model

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  1. ECE631/EE631QLecture 16: Average Value Model S.D.Sudhoff Purdue University EE631 – Spring 2005

  2. IM Overview EE631 – Spring 2005

  3. Objectives For Today • Develop an Average Value Model for the 3-Phase Bridge Inverter • Features • Include conduction losses • Ignore switching losses EE631 – Spring 2005

  4. Semiconductor Model • Transistor • Diode EE631 – Spring 2005

  5. AVM – DC Currrent • Consider the current reference frame EE631 – Spring 2005

  6. AVM – DC Current • Sine-Triangle Modulation with 3rd Harmonic EE631 – Spring 2005

  7. AVM – DC Current • We have EE631 – Spring 2005

  8. AVM – DC Current • We have EE631 – Spring 2005

  9. AVM – DC Current EE631 – Spring 2005

  10. AVM – DC Current • Thus we have for the a-phase • The total dc current must be given by EE631 – Spring 2005

  11. AVM - Voltage • The fast average voltages may be expressed EE631 – Spring 2005

  12. AVM - Voltage • The fundamental component of the line-to-ground voltage may be expressed EE631 – Spring 2005

  13. AVM - Voltage • After substantial manipulation EE631 – Spring 2005

  14. AVM - Voltage • After a little more work, we have • To show this EE631 – Spring 2005

  15. AVM - Voltage EE631 – Spring 2005

  16. AVM – Modulation Signal • Problem: we need to know d, d3, f • Starting point: modulation indices EE631 – Spring 2005

  17. AVM – Modulation Signal • We will need the modulation signal in the current reference frame EE631 – Spring 2005

  18. AVM – Modulation Signal • It can be shown that • To show this EE631 – Spring 2005

  19. AVM – Modulation Signal EE631 – Spring 2005

  20. AVM – Modulation Signal EE631 – Spring 2005

  21. AVM – Modulation Signal • Lets also define a voltage reference frame • In this frame EE631 – Spring 2005

  22. AVM – Modulation Signal • To show this EE631 – Spring 2005

  23. AVM – Modulation Signal • Since we have • We therefore have EE631 – Spring 2005

  24. AVM Modulation Signal • Desired magnitudes • For unsaturated operation EE631 – Spring 2005

  25. AVM - Modulation • Analysis plan for saturated operation EE631 – Spring 2005

  26. AVM Modulation • Results EE631 – Spring 2005

  27. AVM Modulation • A subtle point • This occurs when EE631 – Spring 2005

  28. AVM – Hysteresis Modulator EE631 – Spring 2005

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