Hopf and homoclinic bifurcations on the sliding vector field of switching systems in R3: a case study in power electronics

R Cristiano, T Carvalho, DJ Tonon… - Physica D: Nonlinear …, 2017 - Elsevier
In this paper, Hopf and homoclinic bifurcations that occur in the sliding vector field of
switching systems in R 3 are studied. In particular, a dc–dc boost converter with sliding …

[HTML][HTML] Dynamic stability analysis of DC microgrid and construction of stability region of control parameters based on Pioncáre map

S Sun, C Tang, D **e, C Gu, Y Zhang - … Journal of Electrical Power & Energy …, 2023 - Elsevier
In the DC microgrid, the difficulty to maintain the stable operation of DC-DC power electronic
devices will increase due to the random fluctuations or step changes of power. However …

Bifurcation analysis of a current-mode-controlled DC cascaded system and applications to design

L Ding, SC Wong, KT Chi - … of Emerging and Selected Topics in …, 2020 - ieeexplore.ieee.org
In an electrical system, dc-dc converters are the major constituents that control the power
flow among various terminals including power sources, buses, and loadings. Stability of …

Two-parameter boundary equilibrium bifurcations in 3D-Filippov systems

R Cristiano, DJ Pagano - Journal of Nonlinear Science, 2019 - Springer
This work concerns the analysis of boundary equilibrium bifurcations (BEBs) in 3D
piecewise-smooth systems of Filippov type. In particular, we consider a family whose vector …

On the Teixeira singularity bifurcation in a DC–DC power electronic converter

R Cristiano, E Ponce, DJ Pagano, M Granzotto - Nonlinear dynamics, 2019 - Springer
The electronic circuit of a DC–DC boost power converter under a specific sliding mode
control strategy is analyzed. This circuit is modeled as a discontinuous piecewise linear …

Revisiting the Teixeira singularity bifurcation analysis: Application to the control of power converters

R Cristiano, DJ Pagano, E Freire… - International Journal of …, 2018 - World Scientific
For a discontinuous piecewise smooth (DPWS) dynamical system in ℝ 3, whose state space
is divided into two open regions by a plane acting as the switching manifold, there …

[HTML][HTML] Bifurcations at a degenerate two-fold singularity and crossing limit cycles

R Cristiano, DJ Pagano, T Carvalho… - Journal of Differential …, 2019 - Elsevier
In the 1990s Teixeira studied discontinuous piecewise-smooth (DPWS) dynamical systems
in R 3, whose state space is divided in two open regions by a plane acting as the switching …

[HTML][HTML] Reduced-order discrete modeling method and nonlinear analysis of a discontinuous conduction mode buck converter with a constant power load

L Huang - Energy Reports, 2023 - Elsevier
Discontinuous conduction mode (DCM) DC–DC converters with constant power loads
(CPLs) are the widely used power electronics cascade topologies of distributed renewable …

Discrete modeling and period-adding bifurcation of DC–DC converter feeding constant power load

L Huang, Y Lu - IEEE Access, 2021 - ieeexplore.ieee.org
In this work, an including the switched evolution process discrete model of a DC-DC
converter feeding a switched constant power load is proposed based on the Poincaré …

In-depth analysis of smooth and nonsmooth bifurcations for an open-loop boost converter feeding constant power loads in discontinuous conduction mode

L Benadero, A El Aroudi… - … Journal of Bifurcation …, 2023 - World Scientific
This paper presents a study of the existence conditions of limit cycles and mechanisms
when losing their stability in an open-loop DC–DC boost converter loaded with a constant …