Limitations of PLL simulation: hidden oscillations in MatLab and SPICE

Abstract

Nonlinear analysis of the phase-locked loop (PLL) based circuits is a challenging task, thus in modern engineering literature simplified mathematical models and simulation are widely used for their study. In this work the limitations of numerical approach is discussed and it is shown that, e.g. hidden oscillations may not be found by simulation. Corresponding examples in SPICE and MatLab, which may lead to wrong conclusions concerning the operability of PLL-based circuits, are presented.

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Cited by in corpus (5)

• Hidden attractors in fundamental problems and engineering models
• Limitations of the classical phase-locked loop analysis
• Hidden and self-excited attractors in electromechanical systems with and without equilibria
• The Lyapunov dimension, convergency and entropy for a dynamical model of Chua memristor circuit
• Transient hidden chaotic attractors in a Hopfield neural system