By Teuvo Suntio
This ebook collates the data on hand in this subject, hitherto in basic terms to be present in journals and at meetings. It offers the basics and advances in typical and small-signal modeling of switched-mode converters, ahead of utilizing this knowledge to generate a true canonical converter version. sensible examples are scattered through the textual content, and experimental facts is stated to help theoretical findings.
the result's a superb foundation for realizing and using the dynamics of switched-mode converters -- for the 1st time of their 40-year history.Content:
Chapter 1 advent (pages 1–16):
Chapter 2 foundation for Dynamic research and regulate Dynamics (pages 17–58):
Chapter three standard and Small?Signal Modeling of Direct?On?Time managed Converters (pages 59–119):
Chapter four regular and Small?Signal Modeling of Peak?Current?Mode keep an eye on (pages 121–168):
Chapter five general and Small?Signal Modeling of Average?Current?Mode keep watch over (pages 169–188):
Chapter 6 general and Small?Signal Modeling of Self?Oscillation keep an eye on (pages 189–210):
Chapter 7 Dynamic Modeling and research of Current?Output Converters (pages 211–224):
Chapter eight Interconnected platforms (pages 225–260):
Chapter nine regulate layout concerns (pages 261–305):
Chapter 10 The Fourth?Order Converter – Superbuck (pages 307–349):
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Extra resources for Dynamic Profile of Switched-Mode Converter: Modeling, Analysis and Control
Sample text
Systems based for example on the popular shunt regulator TL431 are actually extremely complicated systems requiring special attention as discussed in [23–26]. 9. 7 starting from the sensor gain Gse , respectively. 17) have to be applied. 20) where Gco−c and Gci−c are the reference-to-output and reference-to-input transfer functions, respectively. 12). 24) have to be applied. 4 Load and Source Effects The previous sections treated the pure internal dynamics from which all the effects of nonideal load and source were removed.
It is obvious that S(s) + T(s) = 1. 68) For a stable system, the roots of the characteristic polynomial (1 + Lv (s)) have to be located in the open left-half plane of the complex plane. A system having roots in the imaginary axis is considered to be marginally stable in control engineering, but in power electronics, a system with pure imaginary roots is deemed to be unstable. If an accurate analytical expression for the loop gain L(s) is available, then the study of the location of the roots of the characteristic polynomial can be made.
67) where Lv (s) is the voltage-loop gain. The denominator term 1 + Lv (s) is called the closed-loop system’s characteristic polynomial. The inverse of the characteristic polynomial is called sensitivity function S(s), and Lv (s) · S(s) the complementary sensitivity function T(s) [1, 31, 32]. It is obvious that S(s) + T(s) = 1. 68) For a stable system, the roots of the characteristic polynomial (1 + Lv (s)) have to be located in the open left-half plane of the complex plane. A system having roots in the imaginary axis is considered to be marginally stable in control engineering, but in power electronics, a system with pure imaginary roots is deemed to be unstable.