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About this book

This book describes the development of the power matching problem. It starts with the derivative-free proof of conjugate matching, goes through the nonlinear, resistive maximum power theorem and its reversal, extension of the concept of equivalence in the case of nonlinear circuits, application of the nonlinear, and resistive maximum power theorem for diode measurement. The author treats practically important special cases of nonlinear, dynamic power matching with applications, and the most general solution that is not realizable.

Table of Contents

Frontmatter

Chapter 1. Overview

Abstract
In this chapter, a historical overview has been obtained from the appearance of the power matching problem to its various applications. We point out that this is a central problem in circuit theory. The detailed overview makes the placement of our work and its relation to other works easier.
János Ladvánszky

Chapter 2. Linear, Time Invariant One Ports: A Derivative-Free Proof of the Global Optimum

Abstract
Globally optimum load has been found without applying derivatives.
János Ladvánszky

Chapter 3. Nonlinear, Resistive Case

Abstract
Maximum power load for a solar cell has been found analytically for arbitrary light intensities. The maximum power theorem has been presented. Reversal of the task, i.e., finding a source obtaining maximum power for a given nonlinear resistive load, has been solved. This problem leads to a new definition for circuit equivalence. As an application, a circuit that measures modified thermal voltage of semiconductor diodes has been constructed.
János Ladvánszky

Chapter 4. Linear Multiports, Competitive Power Matching (Lin)

Abstract
Theory of competitive power matching has been explained. Open problems that have been solved here: generalization for non-resistive circuits and generalization for n-ports.
János Ladvánszky

Chapter 5. The Scattering Matrix (Belevitch Approach), with Application to Broadband Matching

Abstract
Scattering matrix is a basis of our today’s microwave industry. Scattering matrix is a measure of deviation from power matching. Basic applications are also overviewed.
János Ladvánszky

Chapter 6. Foundation Concepts Based on Power Matching (Youla, Castriota, Carlin)

Abstract
It has been shown that the scattering matrix concept can serve for rethinking the basics of circuit theory. Two statements have been selected from the rich content (Youla et al., IRE Trans. Circuit Theory CT. 6:102–124, 1959).
János Ladvánszky

Chapter 7. Special Cases: Describing Functions and Weakly Nonlinear Case (Ladvánszky)

Abstract
Power maximization problem for tuned dynamic nonlinear sources has been solved by applying admittance and scattering describing functions. Application for microwave power amplifier design has been given. Another special case when the nonlinear dynamic source is not tuned but weakly nonlinear has also been discussed. A table containing main results in power maximization of source circuits has been presented.
János Ladvánszky

Chapter 8. The Most General Solution (Wyatt)

Abstract
Maximum power extraction problem has been solved for dynamic nonlinear generators (Wyatt, IEEE Trans. CAS 35:563–566, 1988).
János Ladvánszky

Chapter 9. Conclusions

Abstract
After this great tour, it is time to have a rest and look back. Power matching has been followed throughout circuit theory. The summary is given in Preface.
János Ladvánszky

Backmatter

Additional information