Using Multivariate Polynomials to Obtain DC-DC Converter Voltage Gain

Abstract In this paper, a data driven approach is used to obtain the static gain of dc-dc power converters in terms of the duty cycle and a set of linear coefficients. A known number of measurements, dependent on the dc-dc converter topology, are used to built-in a rational function obtained by linear coefficients. This solution shows how to use measurements to determine a function to represent the static gain of dc-dc power converters in the continuous-conduction mode (CCM). To validate the proposed approach, PSIM simulations, as well as experimental results are presented. The analysis was performed with a Interleaved Boost with Voltage Multiplier (IBVM) converter. Finally, the proposed approach is shown to be an alternative to the classical scanning methods or to the conventional solution of differential equations.