Determining the Residual Magnetic Flux Value of a Single-Phase Transformer Using a Minor Hysteresis Loop

This study aims to observe the influence of the changing stator dimension on the air gap magnetic flux density (Bg) in the design of a single-phase radial flux permanent magnet generator (RFPMG). The changes in stator dimension were carried out by using three different wire diameters as stator wire, namely, AWG 14 (d = 1.63 mm), AWG 15 (d = 1.45 mm) and AWG 16 (d = 1.29 mm). The dimension of the width of the stator teeth (Wts) was fixed such that a larger stator wire diameter will require a larger stator outside diameter (Dso). By fixing the dimensions of the rotor, permanent magnet, air gap (lg) and stator inner diameter, the magnitude of the magnetic flux density in the air gap (Bg) can be determined. This flux density was used to calculate the phase back electromotive force (Eph). The terminal phase voltage (V∅) was determined after calculating the stator wire impedance (Z) with a constant current of 3.63 A. The study method was conducted by determining the design parameters, calculating the design variables, designing the generator dimensions using AutoCad and determining the magnetic flux density using FEMM simulation. The results show that the magnetic flux density in the air gap and the phase back emf Eph slightly decrease with increasing stator dimension because of increasing reluctance. However, the voltage drop is more dominant when the stator coil wire diameter is smaller. Thus, a larger diameter of the stator wire would allow terminal phase voltage (V∅) to become slightly larger. With a stator wire diameter of 1.29, 1.45 and 1.63 mm, the impedance values of the stator wire (Z) were 9.52746, 9.23581 and 9.06421 Ω and the terminal phase voltages (V∅) were 220.73, 221.57 and 222.80 V, respectively. Increasing the power capacity (S) in the RFPMG design by increasing the diameter (d) of the stator wire will cause a significant increase in the percentage of the stator maximum current carrying capacity wire but the decrease in stator wire impedance is not significant. Thus, it will reduce the phase terminal voltage (V∅) from its nominal value.

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Minor hysteresis loop effects in magnetic materials

Journal of Magnetism and Magnetic Materials ◽

10.1016/0304-8853(94)90043-4 ◽

1994 ◽

Vol 138 (3) ◽

pp. L233-L236 ◽

Cited By ~ 13

Author(s):

K. O'Grady ◽

S.J. Greaves

Keyword(s):

Hysteresis Loop ◽

Magnetic Materials ◽

Minor Hysteresis Loop

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The minor hysteresis loop under rotating magnetic fields in machine laminations

2013 IEEE Energy Conversion Congress and Exposition ◽

10.1109/ecce.2013.6647116 ◽

2013 ◽

Cited By ~ 1

Author(s):

Natheer Alatawneh ◽

Pragasen Pillay

Keyword(s):

Magnetic Fields ◽

Hysteresis Loop ◽

Rotating Magnetic Fields ◽

Minor Hysteresis Loop

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Detection of normal transitions in a hybrid single-phase Bi2223 high temperature superconducting transformer by using the active power method and a magnetic flux detection coil

Journal of Physics Conference Series ◽

10.1088/1742-6596/871/1/012085 ◽

2017 ◽

Vol 871 ◽

pp. 012085

Author(s):

N Nanato ◽

S Nakamura ◽

S Tanaka

Keyword(s):

High Temperature ◽

Magnetic Flux ◽

Single Phase ◽

Active Power ◽

Power Method ◽

High Temperature Superconducting ◽

Detection Coil

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Approach to a Limiting Cycle in Thermally Relaxing Media

SPIN ◽

10.1142/s2010324715500010 ◽

2015 ◽

Vol 05 (01) ◽

pp. 1550001

Author(s):

Ivo Klik ◽

Ching-Ray Chang

Keyword(s):

Magnetic Field ◽

Steady State ◽

Hysteresis Loop ◽

Point Of View ◽

Exponential Dependence ◽

Arbitrary State ◽

Superparamagnetic Particle ◽

Thermally Activated ◽

Limiting Cycle ◽

Minor Hysteresis Loop

The thermally activated dynamics of an uniaxial superparamagnetic particle are studied here from the point of view of approach towards a steady state minor hysteresis loop representing a limiting cycle. The particle is initially at an arbitrary state, and is driven by a sufficiently small external applied ac magnetic field till the limiting minor hysteresis loop is reached with a desired precision. The number of periods required to reach the limiting cycle is found to satisfy an Arrhenius-type law, with an exponential dependence on the inverse ambient temperature. We tentatively associate this result with energy dissipation, its origin, however, remains quite unclear.

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Simulation of the remanence influence on the transient states in a single-phase multiwinding transformer

Archives of Electrical Engineering ◽

10.1515/aee-2017-0004 ◽

2017 ◽

Vol 66 (1) ◽

pp. 41-54 ◽

Cited By ~ 1

Author(s):

Andrzej Wilk ◽

Michał Michna

Keyword(s):

Magnetic Flux ◽

Experimental Validation ◽

Single Phase ◽

Magnetic Hysteresis ◽

Hysteresis Phenomenon ◽

Capacitor Discharge ◽

Hysteresis Nonlinearity ◽

Transformer Model ◽

The Mathematical Model ◽

Discharge Test

Abstract This paper presents the mathematical model of a single-phase multi-winding core type transformer taking into account magnetic hysteresis phenomenon based on the feedback Preisach model (FPM). The set of loop differential equations was developed for a K-th winding transformer model where the flux linkages of each winding includes flux Φ common to all windings as a function of magneto motive force Θ of all windings. The first purpose of this paper is to implement a hysteresis nonlinearity involved in the Φ(Θ) function which also accounts residual magnetic flux. The second purpose of this paper is experimental validation of the developed transformer model in a capacitor discharge test and several different values of residual magnetic flux.

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