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## Über dieses Buch

This book presents a comprehensive introduction to the principles of power electronics, focusing on the switched transformer concept and phasor transformation techniques as employed in the analysis and design of power electronic circuits. Phasor transformations, as introduced in this book, make the time-varying nature of a switching converter simple and easy to handle, transforming it into an equivalent time-invariant circuit.

The book starts with an introduction to the philosophy and fundamental principles of power electronics. The switched transformer concept, which is applicable to any switching converter, is introduced, and it is shown how DC-DC converters analyses are then so straightforward that very little equational manipulation is needed. Then the phasor transformation techniques are comprehensively explained over three parts. Single phase and multi-phase AC systems are dealt with through the single phase phasor transformation and circuit DQ transformation, respectively. A general unified phasor transformation is then introduced for the static and dynamic cases. The final part of the book considers current and potential extensions of the technique in various fields of application, including wireless power transfer, signal processing, power systems and renewable energy.

The book avoids the piece-wise linear circuit models used in other titles, with which the mathematical results become too complicated to be used in practice. No cumbersome equations or matrix manipulations are needed with the phasor transformation techniques introduced in this book. It will be a valuable reference source for engineering students and practising researchers in power electronics and related areas.

## Inhaltsverzeichnis

### Chapter 1. The Philosophy of Power Electronics

This chapter explains why power electronics is so special and difficult to understand. A state equation is obtained for a switching converter example and generally compared with conventional systems. However, general unified approaches for understanding and analysis of power circuits are deliberately sought in this book as an extension of similar works done in electronic circuits, which were believed to be very complicated and formidable to handle.
Chun T. Rim

### Chapter 2. Key Principles of Power Converters

This chapter explains how linear regulators and switching converters are adopted in power processing from the very basic principles of power circuits. The switching process is dealt with and switching losses, efficiency, and snubber circuits are introduced. The concepts of continuous conduction and discontinuous conduction modes are explained.
Chun T. Rim

### Chapter 3. Conventional Models

Dealing with switches has been an important issue in power electronics since they can turn linear time-invariant systems into nonlinear time-varying systems. Simplifying or eliminating switching action is the main problem in modeling switching systems. One successful method is the state-space averaging technique. This approach was well-established for DC-DC converters by R. D. Middlebrook.
Chun T. Rim

### Chapter 4. Switched Transformer Model

It would be frustrating for readers that there are not appropriate conventional modeling techniques in power electronics which have the following requirements at the same time.
Chun T. Rim

### Chapter 5. Basic Phasor Transformation and Application to Series Resonant Converters

In this chapter, the advent of phasor transformation is explained from the background to the application to series resonant converters as an example. The conventional phasor concept that has long been used for nearly a century is found to be a ‘static phasor’ and a ‘dynamic phasor’, coined later by other researchers, is introduced here as an extension of the static phasor to a general form of the phasor.
Chun T. Rim

### Chapter 6. Applications of Phasor Transformation to AC Circuits and Phasor Detectors

The detection of amplitude and phase information in single phase AC systems is quite challenging due to the lack of quadrature component, which is available in multi-phase AC systems.
Chun T. Rim

### Chapter 7. Application of Phasor Transformation to Static Analyses of LED Drivers

In this chapter, another example of applying the static phasor transformation to an LED driver is explained. This chapter is useful to see an aspect of modern LED drivers. Innovative passive LED drivers that can reduce the total harmonic distortion (THD) significantly by LC parallel resonance are suggested in this chapter. Using an inductor and three capacitors, called LC3, novel characteristics such as high efficiency and power factor (PF) with extremely long life time are achieved. The proposed LED drivers have a temperature-robust characteristic because their power is hardly changed by temperature, selecting the number of LED in series ns appropriately so that the LED power variation due to temperature change in LED can be zero.
Chun T. Rim

### Chapter 8. Circuit DQ-Transformation

As explained in the previous chapters, the equivalent circuits for the switches in DC-DC, DC-AC, AC-DC, and AC-AC converters are proved to be time-varying transformers.
Chun T. Rim

### Chapter 9. Application of Circuit DQ Transformation to Current Source Inverter

The circuit DQ transformation is used to analyze a three-phase controlled-current PWM rectifier in this chapter. The DC operating point and AC transfer functions are completely determined. Most features of the converter are clearly interpreted. They are (1) the output voltage can be controlled from zero to maximum, (2) the system is equivalently an ideal current source in the steady state, (3) the system can be described as linear circuits, and (4) the input power factor can be arbitrarily controlled within a certain control range.
Chun T. Rim

### Chapter 10. Static Phasor Transformation

It is highly demanded in power electronics to analyze thousands of numerous converters and power circuits by a unified general theory like the conventional Laplace transform or Fourier transform. It is highly demanded in power electronics to analyze thousands of numerous converters and power circuits by a unified general theory like the conventional Laplace transform or Fourier transform. The ‘phasor transformer’ concept is explained in this chapter as a candidate of the theory, which comprises of two parts: the ‘generalized switched transformer’ for all switching converters and the ‘general unified phasor transformation’ for all AC circuits.
Chun T. Rim

### Chapter 11. Laplace Phasor Transformation

The phasor transformation is extended to the dynamic analysis of linear AC converters in this chapter. A complex Laplace transformation is adopted in power electronics for the dynamic analysis of phasor transformed circuits. It is verified in general by mathematics that any linear AC converter can be completely analyzed of closed form by the proposed ‘Laplace phasor transformation.’ Pseudo real Laplacian concept is envisioned to deal with the real part operation in the phasor circuits for DC-AC or AC-DC converters.
Chun T. Rim

### Chapter 12. Dynamics of Inductive Power Transfer Systems

As an example of applying the Laplace phasor transform to a practical problem solving a large signal dynamic model of the inductive power transfer system (IPTS) for on-line electric vehicles (OLEVs) is explained in this chapter. As an example of applying the Laplace phasor transform to a practical problem solving a large signal dynamic model of the inductive power transfer system (IPTS) for on-line electric vehicles (OLEVs) is explained in this chapter.
Chun T. Rim

### Chapter 13. Phasor Transformers in Power Electronics and Beyond

As all switch set of a converter is identified as an electronic transformer with a complex turn-ratio, which is simply referred as ‘phasor transformer’ in this book, it can be said in general that power electronics deal with phasor transformers. Now the phasor transformers embrace not only converters, but also controllers, processors, power systems, and motors.
Chun T. Rim

### Chapter 14. The Future of Power Electronics

The future of power electronics is estimated using emerging issues and trends widely selected from my academic activities. This estimation is, however, not rigorous but instead some general ideas are offered.
Chun T. Rim

### Backmatter

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