Sampled Data Approach to the Analysis of Synchronous Networks

Abstract

Because of the limitations of conventional compensators, synchronous networks have been used as compensators in a.c. carrier systems with advantages. In this paper sampled data theory has been used to analyse a phase lag demodulating network. Mathematical models of such a network, when input to the network is a step function, have been developed and used to find out its output. It has been found that analysis of such a network with sampled data theory is simple and straightforward. Further, it has been shown that response of network to any periodic function of frequency at which switching takes place can be found out by introducing a constant K in series with the input. The method of calculation of K is illustrated by considering a modulated carrier wave (modulating signal being step function and carrier being sinusoidal function) as input to the circuit. The non-dimensionalized curves of K are also given for the input considered. The curves showing the value of phase angle of input at which maximum value of K is attained are also plotted. These curves help in analysing such a network. This method can also be used to analyse other types of synchronous networks. However, this method does not lead to any synthesis procedure because it has not been possible to obtain overall pulse transfer function.