Keywords
Cuk converter
magnetically coupled inductor
averaging method in state space
Lagrange's theorems. перетворювачі постійної напруги
перетворювач Кука
магнітопов’язаний індуктор
метод усереднення в просторі станів
теореми Лагранжа
How to Cite
Abstract
Electromagnetic processes in the converter according to the Cuk topology, which includes inductors with magnetically coupled windings, were studied. Using the averaging method based on Lagrange's theorems, a mathematical model of converter was developed and analytical expressions for its calculation were obtained. Due to the absence of cumbersome intermediate mathematical transformations, the obtained ratios simplify the calculation of average and ripple values of currents and voltages in the reactive elements of converter with magnetically coupled inductors. Graphical dependences of the amplitude of pulsation currents of the input and output inductors and the output voltage of converter were calculated. It has been confirmed that by changing the proportion between the ratio of number of turns of the inductors and the coefficient of magnetic coupling between them, it is possible to realize a given level of the specified ripple. Analytical conditions were obtained under which the minimum values of ripples of the currents of input and output inductors and the output voltage of this converter are achieved. References 14, figures 7, table 1.
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