Realizability Conditions for New Classes of Three-Element-Kind Networks

摘要

The assumption of ideal elements places a practical limitation on the theory of Modern Network Synthesis. To extend the theory to cope with more realistic elements, several new classes of three-element-kind networks were studied. Realizability conditions were derived for driving-point impedances of these networks. This was achieved through physical arguments leading to a property of driving-point functions which was called the difference function. It was shown that the positiveness of the difference function over an appropriate portion of the s-plane represents a necessary and sufficient condition for a rational function to be realizable as the driving-point impedance of a given network class. The most notable contribution was perhaps the establishment of a general theory for networks composed of resistances and reactances with semiuniform loss (i.e., all inductors have one Q; all capacitors have another Q). This theory is almost as comprehensive as that now available for RLCT networks. (Author)