Existence and Stability of nT-Periodic Orbits in the Boost Converter

In high load conditions, the boost converter presents some phenomena, such as chattering, chaos, subharmonics, and nT-periodic orbits, which require studying them with aim of reducing effects improving performance these electronic devices. this paper, sufficient conditions for existence orbits are analytically obtained system stability is evaluated using eigenvalues Jacobian matrix Poincaré application. It demonstrated numerically that 1T-periodic occur a broad range γ parameters. The research obtains particular class 2T-periodic in formula provides without saturation duty cycle. addition, an analysis performed biparametric diagram. computed variational equation allows perturbation orbits. Moreover, analytical calculation Floquet exponents to determine limit orbit. Finally, phenomena found described according behavior real applications encountered previous literature.