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Nonlinear Stabilization Controller for the Boost Converter with a Constant Power Load in Both Continuous and

Juan Gerardo Parada Salado1, Carlos Alonso Herrera Ramírez2, Allan Giovanni Soriano Sánchez3

  • 1Department of Electronics, Celaya Institute of Technology, Celaya 38010, Mexico.

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Summary

New mathematical models and a nonlinear control law stabilize Boost converters operating in discontinuous conduction mode (DCM) or continuous conduction mode (CCM). This ensures stable operation across wide voltage and load variations, crucial for applications like biomedicine.

Keywords:
boost converterconstant power loaddiscontinuous conduction modenonlinear controlswitched system

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Area of Science:

  • Electrical Engineering
  • Power Electronics
  • Control Systems

Background:

  • Boost converters in discontinuous conduction mode (DCM) offer advantages like reduced inductor size and high efficiency, finding use in diverse fields.
  • Existing control strategies often rely on single-mode operation or linearized models, failing under wide operating ranges where mode transitions and instability can occur.
  • Constant Power Loads (CPLs) and wide input/output voltage variations are common in advanced applications, challenging traditional converter control.

Purpose of the Study:

  • To develop conduction mode-independent mathematical models for Boost converters with resistive or CPLs.
  • To design a nonlinear control law that ensures stability for Boost converters across different conduction modes.
  • To validate the proposed models and control strategy through theoretical analysis and experimental testing.

Main Methods:

  • Development of novel, conduction mode-independent mathematical models for Boost converters.
  • Design of a nonlinear control law utilizing a common-Lyapunov function for stability analysis.
  • Implementation and testing of the proposed control strategy on a Boost converter system.

Main Results:

  • The proposed models accurately represent Boost converter dynamics irrespective of the conduction mode (DCM or CCM).
  • The nonlinear control law effectively stabilizes the Boost converter, even with unstable CPL dynamics.
  • Numerical and experimental results confirm the effectiveness and robustness of the proposed control approach.

Conclusions:

  • Conduction mode-independent modeling and nonlinear control are essential for stable Boost converter operation under wide-ranging conditions.
  • The proposed control strategy enhances the reliability of Boost converters in demanding applications.
  • This work provides a foundation for advanced control of power electronic converters in complex systems.