Skip to main content
. 2022 Jan 4;22(1):365. doi: 10.3390/s22010365
Symbol Definition
AI Artificial Intelligence
BBF Broken Bar Fault
BBR Broken Bar
EMD Empirical Mode Decomposition
EMF Electromotive Forces
ESPRIT Estimation of Signal Parameters via Rotational Invariance Techniques
FC Fundamental Current Component
FEM Finite Element Method
FFT Fast Fourier Transform
HBBR Half-Broken Bar
HHT Hilbert–Huang transform
MCSA Motor Current Signature Analysis
MUSIC Multiple Signal Classification
NEMA National Electrical Manufacturers Association
RLSH Left-Side Harmonic
RMS Root Mean Square
RSH Right Sideband Harmonic
SNR Signal To Noise Ratio
WT Wavelet Transform
E12s and E1+2s The RMS of electromotive force of the LSH and RSH respectively
e12s  and e1+2s The instantaneous of electromotive force of the LSH and RSH respectively
f The supply frequency
fr Rotor frequency component
Ia The stator current
J System inertia
I,Il and Ir The RMS of fundamental current, LSH and RSH components respectively
i1, i2,  i1,  i2,  i2 and i1 Notations for different current components, where subscript (1) and (2) indicate components related to LSH and RSH respectively
i1ο Initial left sideband current
i1οmcorrected The corrected values of i1ο
P Number of poles
s Motor slip
ω Synchronous speed
Z12s and Z1+2s The circuit impedance for LSH and RSH respectively
Z and ϕ The magnitude and the angle of the equivalent circuit impedance at supply frequency
α, αl and αr The phase angles of FC, LSH, and RSH
αλ The angle of the fundamental flux linkage
β A parameter equals 3Pλ28JsωZ
 θ1 and θ2 The phase angle of the current components i1and i2, respectively
Δθ The change in the angle θ
λ The RMS value of the fundamental flux linkage
λfund The instantaneous value of the fundamental flux linkage
r The subscript r denotes reference cases
new The subscript new denotes new cases
mnew The subscript mnew indicates the new case current components calculated using the model in Figure 2
m The subscript (m) indicates the model indicates the model