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In this paper a fairly complete mathematical model of CP-PLL, which reliable enough to serve as a tool for credible analysis of dynamical properties of these circuits, is studied. We refine relevant mathematical definitions of the hold-in…

Signal Processing · Electrical Eng. & Systems 2021-07-30 N. V. Kuznetsov , A. S. Matveev , M. V. Yuldashev , R. V. Yuldashev

Phase-locked loops (PLLs) are now widely used in communication systems and have been a classic system for more than 60 years. Well-known mathematical models of such systems are constructed in a number of approximations, so questions about…

Systems and Control · Electrical Eng. & Systems 2021-02-22 Mikhail A. Mishchenko , Denis I. Bolshakov , Alexander S. Vasin , Valery V. Matrosov , Ilya V. Sysoev

The presented paper introduces a design for a phase-locked loop (PLL) that is utilized in frequency synthesis and modulation-demodulation within communication systems and in VLSI applications. The CMOS PLL is designed using 180 nm…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Priyam Kumar , Akshada Khele , Aditee C. Joshi

Non-contact scanning probe microscopy (SPM) has developed into a powerful technique to image many different properties of samples. The conventional method involves monitoring the amplitude, phase or frequency of a cantilever oscillating at…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Manan Mehta , Venkat Chandrasekhar

Phase-locked loop (PLL), conceived in 1932 by H. Bellescize, has been the basic electronic component in the development of communication technology from the early analog radio receptors to modern digital civil and military facilities.…

Systems and Control · Electrical Eng. & Systems 2024-11-28 José Roberto Castilho Piqueira , Felipe Freitas , Luis Antonio Aguirre

In the present work, a second-order PLL with lead-lag loop filter and triangular phase detector characteristic is analysed. An exact value of the conservative lock-in range is obtained for the considered model. The solution is based on…

Signal Processing · Electrical Eng. & Systems 2021-12-06 Blagov M. V. , Kuznetsov N. V. , Lobachev M. Y. , Yuldashev M. V. , Yuldashev R.

Synchronous reference frame phase-looked loop (SRF-PLL) techniques are widely used for interfacing and control applications in the power systems and energy conversion at large. Since a PLL system synchronizes its output with an exogenous…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Michael Ruderman , Elia Brescia , Paolo Roberto Massenio , Giuseppe Leonardo Cascella , David Naso

Modern communication and computer systems require rapid (Gbps), efficient and large bandwidth data transfers. Agressive scaling of digital integrated systems allow buses and communication controller circuits to be integrated with the…

Hardware Architecture · Computer Science 2012-01-10 Zainab Ashari , Anis Nurashikin Nordin

A simulation of an atomic force microscope operating in the constant amplitude dynamic mode is described. The implementation mimics the electronics of a real setup including a digital phase-locked loop (PLL). The PLL is not only used as a…

Atomic and Molecular Clusters · Physics 2007-05-23 Laurent Nony , Alexis Prof. Baratoff , Dominique Schaer , Oliver Pfeiffer , Adrian Wezel , Ernst Meyer

In the present work PLL-based circuits with sinusoidal phase detector characteristic and active proportionally-integrating (PI) filter are considered. The notion of lock-in range -- an important characteristic of PLL-based circuits, which…

Dynamical Systems · Mathematics 2016-03-29 K. D. Aleksandrov , N. V. Kuznetsov , G. A. Leonov , M. V. Yuldashev , R. V. Yuldashev

In the present work the model of PLL with impulse signals and active PI filter in the signal's phase space is described. For the considered PLL the lock-in range is computed analytically and obtained result are compared with numerical…

Dynamical Systems · Mathematics 2016-04-01 K. D. Aleksandrov , N. V. Kuznetsov , G. A. Leonov , M. V. Yuldashev , R. V. Yuldashev

In the present work, a second-order type 2 PLL with a piecewise-linear phase detector characteristic is analysed. An exact solution to the Gardner problem on the lock-in range is obtained for the considered model. The solution is based on a…

Digital phase-locked loops (DPLLs) are nonlinear feedback-controlled systems that are widely used in electronic communication and signal processing applications. In most of the applications they work in coupled mode, however, vast of the…

Adaptation and Self-Organizing Systems · Physics 2019-01-30 Bishwajit Paul , Tanmoy Banerjee

We consider a grid-connected voltage source converter (VSC) and address the problem of estimating the grid angle and frequency, information that is essential for an appropriate operation of the converter. We design phase-locked loop (PLL)…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Daniele Zonetti , Oriol Gomis-Bellmunt , Eduardo Prieto-Araujo , Marc Cheah-Mane

A Pulse-Compression Probing (PCP) method is applied in time-domain to identify an equivalent circuit model of a distribution network as seen from the transmission grid. A Pseudo-Random Binary Pulse Train (PRBPT) is injected as a voltage…

Systems and Control · Electrical Eng. & Systems 2023-06-05 Nicholas Piaquadio , N. Eva Wu , Morteza Sarailoo , Jianzhuang Huang

We have studied the dynamics of a spin-torque nanooscillator's (STNO) phase locked loop (PLL) generating microwave oscillations in a broad range of frequencies under the effect of direct current and external magnetic field. Bifurcations in…

Chaotic Dynamics · Physics 2016-11-18 Alexander A. Mitrofanov , Ansar R. Safin , Nicolay N. Udalov

Many physical, biological and neural systems behave as coupled oscillators, with characteristic phase coupling across different frequencies. Methods such as $n:m$ phase locking value and bi-phase locking value have previously been proposed…

Neurons and Cognition · Quantitative Biology 2022-01-04 Bhavya Vasudeva , Runfeng Tian , Dee H. Wu , Shirley A. James , Hazem H. Refai , Fei He , Yuan Yang

In a phase-locked loop (PLL) synchronized inverter, due to the strong nonlinear coupling between the PLL's parame-ters and the operation power angle, the equivalent damping coefficient will quickly deteriorate while the power angle is close…

Systems and Control · Electrical Eng. & Systems 2024-01-05 Yi Zhou , Zhouchen Deng , Shi Chen , Yiwei Qiu , Tianlei Zang , Buxiang Zhou

We explore analytically the oscillation quenching phenomena (amplitude death and oscillation death) in a coupled third order phase locked loop (PLL) both in periodic and chaotic mode. The phase locked loops are coupled through mean field…

Chaotic Dynamics · Physics 2016-11-15 S Chakraborty , M Dandapathak , B C Sarkar

In this paper we discuss the application of the harmonic balance method for the global analysis of the classical phase-locked loop (PLL) circuit. The harmonic balance is non rigorous method, which is widely used %,often without rigorous…

Dynamical Systems · Mathematics 2017-05-09 E. V. Kudryashova , N. V. Kuznetsov , G. A. Leonov , M. V. Yuldashev , R. V. Yuldashev
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