# Power Transformer Frequency Response Analysis: Examination of Resonance Inﬂuences on Frequency Response Analysis Signals as The Traveling Wave is Transmitted Through a Power Transformer

2016-07

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## Title

Power Transformer Frequency Response Analysis: Examination of Resonance Inﬂuences on Frequency Response Analysis Signals as The Traveling Wave is Transmitted Through a Power Transformer

2016-07

## Type

Thesis or Dissertation

## Abstract

Understanding the physics associated with power transformer frequency response analysis (FRA) is required to properly interpret FRA traces for correct diagnostics of a power transformer. Events occurring within a power transformer to inﬂuence FRA test traces are explained. A complex Lorentzian curve shape is acquired by combining the solution of the electromagnetic wave equation with a resonance equation. The resultant solution provides a new deﬁnition of resonance observed within power transformer FRA traces. The windings in a power transformer are a transmission system to the FRA signal traveling electromagnetic wave. The traveling wave is the electro-motive force causing movement of charge within a resonant circuit. The moving charge within that resonant circuit emits its own traveling wave, which combines with the initial incident wave. The FRA traces demonstrate this inﬂuence of resonance on the original injected FRA signal. A new mathematical model of the power transformer FRA traces is developed utilizing the complex Lorentzian curve. The inﬂuence of each resonant frequency is catalogued with three parameters: resonant frequency; spectral width; and, coeﬃcient of inﬂuence. The developed mathematical model sums the inﬂuence of each resonance to a base trace to emulate the actual test trace. Exploratory tests were conducted on a Delta - Grounded Wye power transformer to prove the developed concept and further explain FRA test results. Actual resonance within a power transformer was measured. Measured resonances were applied to the developed mathematical model, which resulted in a very close ﬁt to FRA test results. Multiple types of resonance were observed and other non-resonant inﬂuences on the FRA traces are explained.

## Description

University of Minnesota Ph.D. dissertation.July 2016. Major: Electrical Engineering. Advisors: Bruce Wollenberg, Anand Gopinath. 1 computer file (PDF); viii, 91 pages.

## Suggested citation

Bocovich, Michael. (2016). Power Transformer Frequency Response Analysis: Examination of Resonance Inﬂuences on Frequency Response Analysis Signals as The Traveling Wave is Transmitted Through a Power Transformer. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/182158.

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