On the dynamic behavior of the current in the condenser of a boost converter controlled with ZAD

Darío Del Cristo Vergara Perez (Institución Educativa San Marcos, San Marcos – Sucre, Colombia)
Simeón Casanova Trujillo (Universidad Nacional de Colombia, Sede Manizales, Investigation Group: Scientific Calculation and Mathematical Modeling, Manizales, Colombia)
Fredy Edimer Hoyos Velasco (Universidad Nacional de Colombia, Sede Medellín, Facultad de Ciencias, Escuela de Física)

TELKOMNIKA (Telecommunication Computing Electronics and Control)
Vol 18, No 3: June 2020

In this paper, an analytical and numerical study is conducted on the dynamics of the current in the condenser of a boost converter controlled with ZAD, using a pulse PWM to the symmetric center. A stability analysis of periodic 1T-orbits was made by the analytical calculation of the eigenvalues of the Jacobian matrix of the dynamic system, where the presence of flip and Neimar–Sacker-type bifurcations was determined. The presence of chaos, which is controlled by ZAD and FPIC techniques, is shown from the analysis of Lyapunov exponents.