arXiv subjects

Debjyoti Chatterjee

Publications and source records attributed to Debjyoti Chatterjee.

2 recordsLinked to original sources

arXiv2026

Small-signal Stability of a Unified Single-unit Infinite-bus Swing-equation Model for Generators and Inverters

We present a swing-equation model with generalized and equilibria-dependent inertia, damping, and synchronization constants for energy conversion interfaces with second-order active-power versus voltage-phasor-angle dynamics connected to an infinite bus. The model is unified in that prudent parameterization of the second-order angle-to-power transfer function aligns with reduced-order models for synchronous generators, grid-following inverters with fast frequency-response capability, and droop- and virtual synchronous generator-based grid-forming inverters. Parametric necessary and sufficient conditions to examine small-signal stability of angle equilibria are derived from the unified swing-equation model.

eess.SY↗

arXiv2026

Frequency Sensitive Duplicate Detection Using Multi-Metric Spaces

Classical metric spaces often fail to model data-intensive systems where repetition and frequency of values are meaningful. In applications such as transactional databases, sensor logs, and record linkage, conventional distance measures ignore multiplicity information, leading to information loss and incorrect similarity judgments. This paper introduces multi-metric spaces defined on multisets and valued in the multi-real number system, providing a principled way to incorporate frequency into distance computations. We demonstrate the usefulness of multi-metrics through a frequency sensitive duplicate detection example, showing improved accuracy over classical metric based approaches.

math.GM↗