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Performance analysis of digitally controlled nonlinear systems considering time delay issues.

Cağfer Yanarateş1, Serkan Okur2, Aytaç Altan2

  • 1Department of Electrical and Energy, Kelkit Aydın Doğan Vocational School, Gümüşhane University, 29600, Gümüşhane, Turkey.

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Summary

The bilinear approximation method best discretizes DC-DC buck converters for photovoltaic systems. This approach accurately preserves frequency characteristics, improving digital control and system efficiency.

Keywords:
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Area of Science:

  • Electrical Engineering
  • Control Systems
  • Power Electronics

Background:

  • DC-DC buck converters are crucial for photovoltaic (PV) systems.
  • Digital control of these converters requires careful discretization and sample time selection.
  • Non-linear behaviors in buck converters impact control accuracy and system efficiency.

Purpose of the Study:

  • To investigate discretization methods for DC-DC buck converters in PV systems.
  • To analyze time and frequency domain behavior considering system delays.
  • To optimize digital control algorithms and enhance power conversion efficiency.

Main Methods:

  • Comprehensive analysis of discretization techniques including trapezoidal integration (bilinear approximation), first-order hold (FOH), zero-order hold (ZOH), impulse response matching, and matched pole-zero (MPZ).
  • Dual-domain (time and frequency) analysis of a DC-DC buck converter model.
  • Evaluation of methods for addressing non-linear behavior in digital control.

Main Results:

  • The trapezoidal integration method (bilinear approximation) significantly outperformed other discretization techniques in both time and frequency domains.
  • Bilinear approximation achieved the closest frequency-domain match between continuous-time and discrete-time systems.
  • This method enhances the accuracy, stability, and transient behavior of digital control systems for buck converters.

Conclusions:

  • Bilinear approximation is the superior method for discretizing DC-DC buck converters in PV applications.
  • Accurate discretization is key to preserving system dynamics and ensuring reliable power conversion.
  • The findings support the optimization of digital control strategies for enhanced PV system performance.