The analysis of demodulating compensating networks

The subject of this paper is the analysis of periodically switched electric networks. A method for determining a sampled-data system which is equivalent to a given member of a class of periodically switched electric networks is first presented. A technique for determining the response of the system to a given input function is then discussed in detail. Next it is shown that it is possible to identify a time-invariant electric network with the same response to a step-function input as the envelope of the response of the switched network exhibits when the input to the switched network is a suddenly applied constant-amplitude sinusoid at the switching frequency. This "equivalent" d-c network can be utilized to advantage in the design of carrier systems in which periodically switched electric networks are employed as compensators. Examples are then presented to illustrate the application of the theory, and the results obtained by this method are compared with those obtained by a different method, proposed earlier. Finally it is pointed out that the response calculated by the use of the method presented in this paper is theoretically exact and that the technique can be extended to encompass a wide class of periodically switched linear systems.