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Transient and Stability Analysis of Voltage Switch Charge Pump PLL

Authors

  • Shazia Feroz

    Department of Electronics Engineering Technology, Benazir Bhutto Shaheed University of Technology and Skills Development, Khairpur Mirs, Pakistan
    Author

  • Ehsan Ali

    Department of Electronics Engineering, Quaid-e-Awam University of Engineering and Technology, Nawabshah, Pakistan
    Author

  • Darshna Narwani

    Mehran University of Engineering and Technology, Shaheed Zulfiqar Ali Bhutto Campus, Khairpur Mirs, Pakistan
    Author

DOI:

https://doi.org/10.22581/0805

Keywords:

Phase-locked Loop, Charge Pump PLL, Transient Response, Stability Analysis, Loop Filter Design, Phase Margin

Abstract

Phase-Locked Loops (PLLs) are widely used in modern communication, sensing, and digital systems for frequency synthesis, clock generation, and synchronization. Understanding their transient behavior and stability is essential for achieving fast, accurate, and reliable operation. This paper presents an analytical study of the transient dynamics and stability of second- and third-order Voltage Switch Charge Pump Phase-Locked Loop (VSCP-PLL) architectures for high-speed communication and sensing. A unified framework combines small-signal linearization, nonlinear modeling, and state-space formulation for both loop orders. For the second-order loop, closed-form natural frequency and damping ratio expressions enable direct prediction of overshoot, settling time, and lock behavior. The third-order model captures added pole–zero interactions and higher-order coupling, explaining phase accumulation and stability degradation. Key parameters—charge-pump current, loop-filter pole–zero placement, VCO gain, and divider ratio—are examined in relation to transient response and phase/frequency error. Stability margins are quantified through Bode analysis, highlighting the reductions in phase and gain margins caused by the extra pole. Controllability and observability are verified to support digital-assist and adaptive control. Simulations and event-driven transients validate the derived stability analysis and robust design region. Results show that third-order filtering improves spur and ripple suppression but increases mismatch sensitivity and lock-time variability. MATLAB R2020a and Simulink are used for the simulations.

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References

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Published

2026-10-01

Issue

Vol. 45 No. 4 (2026): October Issue

Section

Articles

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Copyright (c) 2026 Mehran University Research Journal of Engineering and Technology

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How to Cite

Transient and Stability Analysis of Voltage Switch Charge Pump PLL. (2026). Mehran University Research Journal of Engineering and Technology, 45(4), 148-155. https://doi.org/10.22581/0805

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