STATISTICAL NORMALIZATION OF VIBRATION VELOCITY IN GAS COMPRESSOR UNITS BASED ON OPERATIONAL DATA ANALYSIS

Prokopenko O., V. N. Karazin Kharkiv National University https://orcid.org/0000-0002-6834-3056
Antonenko N. V. N. Karazin Kharkiv National University https://orcid.org/0009-0000-0879-1642
Tupa I. Utility company Kharkiv Thermal Networks https://orcid.org/0000-0002-8705-9122
Khalimov D. V. N. Karazin Kharkiv National University https://orcid.org/0009-0008-0919-8232
Khalimov P. V. N. Karazin Kharkiv National University https://orcid.org/0009-0006-6484-5872
Yurechko D. V. N. Karazin Kharkiv National University https://orcid.org/0009-0002-1389-6953

Keywords: vibration velocity, gas compressor unit, statistical normalization, Neyman-Pearson criterion, Rayleigh distribution, reliability, condition monitoring, spectral analysis

Abstract

DOI: https://doi.org/10.26565/2079-1747-2026-37-05

This paper presents a novel approach to the normalization of overall vibration velocity levels in gas compressor units (GCUs) based on large‑scale statistical analysis of operational data. Unlike traditional methods relying on fixed regulatory limits or empirical recommendations from international standards, the proposed methodology applies the Neyman-Pearson criterion to determine an optimal vibration threshold that minimizes the probability of incorrect diagnostic decisions.

Mathematical models of vibration velocity distribution are developed, incorporating both harmonic components and broadband noise. It is shown that, under real operating conditions, the vibration process can be effectively represented as a combination of Rayleigh distributions with different variances. Using experimental data from a fleet of 310 GCU‑10 units, statistical parameters of vibration velocity were obtained, and threshold values were calculated using two approaches: the second‑order moment of the distribution and the classical “three‑sigma” rule.

The results demonstrate that existing vibration standards significantly exceed statistically justified limits, which may reduce equipment lifetime and increase the risk of failures. The proposed approach enables the development of scientifically grounded vibration norms for specific measurement points and enhances operational reliability without additional maintenance costs.

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