Abstract
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 Poincare mapping rule and matrix exponent method. Numerical simulations of the bifurcation scheme based on the proposed discrete model reveal the period-adding bifurcation structures of the system as multiple devils’ staircases. Further, the calculation of the stable regions of the multiple-period orbits of the nested period-adding bifurcation structures are illustrated. The experimental results verify the validity of the discrete model and analytical accuracy of the period-adding bifurcation characteristics of the system. The proposed model solves the difficulties associated with discrete modeling for power electronic nonlinear switched systems. The introduction of the switched evolution process in the proposed discrete model provides a specific mathematical model for studying the influence of the switched evolution process on the dynamics of power electronic nonlinear switched systems. This study is expected to be a foundation for the theory and further research on such power electronic nonlinear switched systems.
Highlights
Cascaded DC–DC converters have a wide range of applications in distributed power systems comprising a variety of renewable energy [1], [2]
MATHEMATICAL MODEL OF A BUCK CONVERTER FEEDING AN switched CPLs (SCPLs) This study considers a buck converter feeding an SCPL as an example to discuss the modeling method to include the switched evolution process in the discrete model of the power electronic switched nonlinear system
Where the major components of circuit design are as follows: IRF840 and TLP250 are used as switching device and gate drive circuit for S1, MUR20100 is used as diode D1, two LM311 are used as amplifiers A1 and A2 respectively, IRFP460 and TL949 are used as switching device and gate drive circuit for S2, APT30D60B is used as diode D2
Summary
Cascaded DC–DC converters have a wide range of applications in distributed power systems comprising a variety of renewable energy [1], [2]. The bifurcation behaviors and the coexisting fast-scale and slow-scale instabilities of the system were analyzed in these two papers In these two works, the CPL was equivalent to the circuit composed of a constant current source parallel with a negative resistance at the steady-state, but this equivalent circuit could not reflect the real dynamics of CPL perfectly. To overcome the problem that the equivalent model of CPL is only applicable to the equilibrium point in above-given models and the modeling difficulty of the switched evolution processes of power electronic system, a discrete model including the switched evolution process for DC–DC converters feeding switched CPLs (SCPLs) is established in this work.
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