STEADY-STATE ANALYSIS OF CLOSED-LOOP SWITCHING-CIRCUIT BY CALCULATING CONVOLUTION INTEGRAL IN THE STEADY-STATE

This paper discusses the convolution integral of the circuit variable and the transfer function in the steady state of a circuit. It is shown that the integral can easily be calculated by the Shooting method when the transfer function to be calculated has a simple form. Using the proposed method of calculation, the steady-state operation is analyzed for the periodic switching circuit which is controlled by the closed loop, such as the switching converter. A method is proposed that precisely determines the steady-state operation of the overall circuit, while precisely analyzing the steady-state operation of the loop circuit. The proposed method differs from the conventional method in that the circuit, including the loop circuit not analyzed but the loop-control circuit is represented by a transfer function separately from the overall circuit and the steady-state response is determined by the convolutional integral. Consequently, for closed-loop switching circuits of various structures, the operation can be determined precisely without enlarging the circuit scale to be analyzed. Another point compared to the past method is that the operation specifications for the circuit can be handled with a better transparency.