Analysis and Synthesis of Multivalued Memoryless Nonlinear Networks

This paper presents a simple but general method-the Iterative Piecewise Linear Method-suitable for the analysis and synthesis of multivalued memoryless nonlinear networks that may contain multivalued nonlinear resistors, controlled sources, ideal transformers, gyrators, negative impedance converters, etc. The method itself is an algorithm, and therefore it can be easily programmed in a computor. Part I, Analysis of Multivalued Memoryless Networks, considers the operating point problem and the determination of driving-point and transfer characteristic plots. Part II, Piecewise Linear Synthesis of dc Memoryless Nonlinear Networks, describes a simple procedure to synthesize a nonlinear lattice network having a prescribed driving point, and transfer as well as nonlinear load characteristics. An analytical procedure for realizing a nonlinear voltage divider with multivalued transfer characteristics is also given.