Ch7slide

# Ch7slide - Part II Converter Dynamics and Control 7 8 9 10...

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Fundamentals of Power Electronics Chapter 7: AC equivalent circuit modeling 1 Part II Converter Dynamics and Control 7. AC equivalent circuit modeling 8. Converter transfer functions 9. Controller design 10. Ac and dc equivalent circuit modeling of the discontinuous conduction mode 11. Current programmed control

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Fundamentals of Power Electronics Chapter 7: AC equivalent circuit modeling 2 Chapter 7. AC Equivalent Circuit Modeling 7.1. Introduction 7.2. The basic ac modeling approach 7.3. Example: A nonideal flyback converter 7.4. State-space averaging 7.5. Circuit averaging and averaged switch modeling 7.6. The canonical circuit model 7.7. Modeling the pulse-width modulator 7.8. Summary of key points
Fundamentals of Power Electronics Chapter 7: AC equivalent circuit modeling 3 7.1. Introduction + + v(t) v g (t) Switching converter Power input Load + R compensator G c (s) v ref voltage reference v feedback connection pulse-width modulator v c transistor gate driver δ (t) δ (t) T s dT s t t v c (t) Controller A simple dc-dc regulator system, employing a buck converter Objective: maintain v(t) equal to an accurate, constant value V . There are disturbances: • in v g (t) • in R There are uncertainties: in element values • in V g • in R

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Fundamentals of Power Electronics Chapter 7: AC equivalent circuit modeling 4 Applications of control in power electronics Dc-dc converters Regulate dc output voltage. Control the duty cycle d(t) such that v(t) accurately follows a reference signal v ref . Dc-ac inverters Regulate an ac output voltage. Control the duty cycle d(t) such that v(t) accurately follows a reference signal v ref (t). Ac-dc rectifiers Regulate the dc output voltage. Regulate the ac input current waveform. Control the duty cycle d(t) such that i g (t) accurately follows a reference signal i ref (t) , and v(t) accurately follows a reference signal v ref .
Fundamentals of Power Electronics Chapter 7: AC equivalent circuit modeling 5 Objective of Part II Develop tools for modeling, analysis, and design of converter control systems Need dynamic models of converters: How do ac variations in v g (t) , R , or d(t) affect the output voltage v(t) ? What are the small-signal transfer functions of the converter? Extend the steady-state converter models of Chapters 2 and 3, to include CCM converter dynamics (Chapter 7) Construct converter small-signal transfer functions (Chapter 8) Design converter control systems (Chapter 9) Model converters operating in DCM (Chapter 10) Current-programmed control of converters (Chapter 11)

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Fundamentals of Power Electronics Chapter 7: AC equivalent circuit modeling 6 Modeling Representation of physical behavior by mathematical means Model dominant behavior of system, ignore other insignificant phenomena Simplified model yields physical insight, allowing engineer to design system to operate in specified manner Approximations neglect small but complicating phenomena After basic insight has been gained, model can be refined (if it is judged worthwhile to expend the engineering effort to do so), to account for some of the previously neglected phenomena
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