Pub Date : 2024-03-02DOI: 10.1109/OJCAS.2024.3396336
Christian Hoyer;Jens Wagner;Frank Ellinger
This research analyzes the mutual self-organized synchronization of phase-locked loops (PLLs) in the presence of variations in the free-running frequency of a PLL. In contrast to traditional synchronization methods that rely on a reference signal, this study investigates the synchronization dynamics that arise solely from the interactions of PLL nodes within a network. Previous research has proposed theoretical frameworks that can predict the synchronized states of such designs. However, these frameworks do not account for the dynamic behavior that occurs during initial synchronization. To address this gap, this work proposes a constraint that refines the understanding of initial synchronization. The results of this analysis show that there is a maximum detuning between free-running frequencies up to which synchronization is possible. Furthermore, this analysis indicates that detuning not only affects the range of time delays at which stable synchronized states emerge between PLL nodes, but also limits the allowable range of initial phase differences for stable synchronization. In the cases studied, a frequency difference of 1.56% reduces the probability of achieving stable synchronized states through self-organized synchronization to 73.5%, while no stable synchronization can be achieved at a frequency difference greater than 2.65%. The study underscores the critical importance of operating ranges when implementing mutual coupling. In particular, all PLL nodes must have overlapping lock ranges to achieve stable synchronization. It also emphasizes the need for accurate analysis of hold and lock ranges in relation to the time delays between coupled PLL nodes.
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Pub Date : 2024-02-07DOI: 10.1109/OJCAS.2024.3358107
Nicole McFarlane
Welcome to the 5th volume of the Open Journal of Circuits and Systems (OJCAS). The Circuits and Systems Society’s Gold Open Access Journal is maturing, welcoming more submissions and getting our first impact factor score. I welcome our new Associate Editor in Chief, Alex James of Digital University Kerala in Trivandrum India to help mature the journal even more. As the journal matures, it is important to note that OJCAS covers all the topics of the society with the only exception being that it is open access. This means we hold submissions to the same quality standard as the other IEEE Journals. As soon as the paper is accepted, the paper is immediately available on IEEE Xplore and freely available to all researchers across the globe. In order to cover the cost of hosting the papers, as well as minimal editing and formatting, the article processing charges are indeed higher than traditional journals. Fortunately, many institutions have open access funds to cover this purpose and some funding agencies in certain countries mandate that research funded by those agencies be freely available to the public. In addition, IEEE has a waiver policy for authors from low and lower-middle income countries. More facts about open access for IEEE can be found at https://open.ieee.org/about/faqs/