Rotor/Stator Inter-Turn Short Circuit Fault Detection for Saturable Wound-Rotor Induction Machine by Modified Magnetic Equivalent Circuit Approach

This paper presents a new method to model healthy and faulty wound-rotor induction machines (WRIMs) with and without inter-turn short circuit fault by a single set of equations. The model is presented for a machine with arbitrary pole, and rotor and stator slot numbers. A single set of equations, including both electric and magnetic parts, is solved to obtain full dynamic behavior of the machine. Therefore, the modified magnetic equivalent circuit with non-linear elements is used for modeling and a numerical technique is employed to solve the non-linear equations. The proposed modified method has a simple calculation procedure in comparison with the conventional magnetic equivalent circuit method. Solving the electric and magnetic equations by a single set of equations is the main advantage of the presented method, which is proposed for a WRIM machine, for the first time. In addition, to increase the accuracy, the saturation phenomenon is also considered in the model. Due to the saturation effect, there are some non-linear algebraic magnetic equations, which should be simultaneously solved with differential equations. A trapezoidal technique is used to convert differential equations to algebraic ones. To solve the non-linear equations, non-linear equations, Newton Newton–Raphson method is employed. Current signature analysis is used for rotor and stator inter-turn short circuit fault detection. Finally, the finite-element method is used to verify the effectiveness of the proposed modeling method. It is worth noting that the proposed method can model a healthy and faulty machine with different faults by a single model.

[1]  Ron Wang,et al.  A voltage input-based magnetic equivalent circuit model for wound rotor synchronous machines , 2013, 2013 International Electric Machines & Drives Conference.

[2]  Peyman Naderi.  Eccentricity Fault Diagnosis and Torque Ripple Analysis of a Four-pole Synchronous Reluctance Machine in Healthy and Faulty Conditions , 2015 .

[3]  S. Williamson,et al.  Transient currents and torques in wound-rotor induction motors using the finite-element method , 1990 .

[4]  T. Hamiti,et al.  Comparison Between Finite-Element Analysis and Winding Function Theory for Inductances and Torque Calculation of a Synchronous Reluctance Machine , 2007, IEEE Transactions on Magnetics.

[5]  S. K. Panda,et al.  Hybrid Model for Wound-Rotor Synchronous Generator to Detect and Diagnose Turn-to-Turn Short-Circuit Fault in Stator Windings , 2015, IEEE Transactions on Industrial Electronics.

[6]  A. Tenconi,et al.  Improvement to winding function theory for PM machine analysis , 2011, 2011 International Conference on Power Engineering, Energy and Electrical Drives.

[7]  Venkata Dinavahi,et al.  Real-Time Nonlinear Magnetic Equivalent Circuit Model of Induction Machine on FPGA for Hardware-in-the-Loop Simulation , 2016, IEEE Transactions on Energy Conversion.

[8]  E. A. Lomonova,et al.  Hybrid Analytical Modeling: Fourier Modeling Combined With Mesh-Based Magnetic Equivalent Circuits , 2015, IEEE Transactions on Magnetics.

[9]  J. Faiz,et al.  Extension of winding function theory for nonuniform air gap in electric machinery , 2002 .

[10]  Hashem Oraee,et al.  A Novel Modeling Approach for Design Studies of Brushless Doubly Fed Induction Generator Based on Magnetic Equivalent Circuit , 2013, IEEE Transactions on Energy Conversion.

[11]  J. Faiz,et al.  Extension to Multiple Coupled Circuit Modeling of Induction Machines to Include Variable Degrees of Saturation Effects , 2008, IEEE Transactions on Magnetics.

[12]  Larry C. Andrews,et al.  Special Functions Of Mathematics For Engineers , 2022 .

[13]  S. Nandi,et al.  A detailed model of induction machines with saturation extendable for fault analysis , 2004, IEEE Transactions on Industry Applications.

[14]  N.A.O. Demerdash,et al.  Analysis and Diagnostics of Adjacent and Nonadjacent Broken-Rotor-Bar Faults in Squirrel-Cage Induction Machines , 2009, IEEE Transactions on Industrial Electronics.

[15]  Jawad Faiz,et al.  Modeling and Diagnosing Eccentricity Fault Using Three-dimensional Magnetic Equivalent Circuit Model of Three-phase Squirrel-cage Induction Motor , 2015 .

[16]  A. Jalilian,et al.  Experimental validation of MEC modeling for stator and rotor winding faults in WRIMs , 2014, 2014 International Conference on Electrical Machines (ICEM).

[17]  Vlado Ostović,et al.  Dynamics of Saturated Electric Machines , 1989 .

[18]  Jalal Nazarzadeh,et al.  Magnetic Reluctance Method for Dynamical Modeling of Squirrel Cage Induction Machines , 2011 .

[19]  Ron Wang,et al.  Incorporating Skew in a Magnetic Equivalent Circuit Model of Synchronous Machines , 2015, IEEE Transactions on Energy Conversion.

[20]  Peyman Naderi.  Inter-turn short-circuit fault detection in saturable squirrel-cage induction motor using magnetic equivalent circuit model , 2016 .

[21]  Ron Wang,et al.  Incorporating Dynamics in a Mesh-Based Magnetic Equivalent Circuit Model of Synchronous Machines , 2015, IEEE Transactions on Energy Conversion.

[22]  P. Naderi,et al.  Pole Arc Skewing Analysis of Synchronous Reluctance Machine Using Discrete Method Combined with Winding Function Approach , 2015 .

[23]  P. Neti,et al.  Development and Validation of a Comprehensive Synchronous Machine Model for a Real-Time Environment , 2010, IEEE Transactions on Energy Conversion.

[24]  F. R. Blanquez,et al.  Field-winding fault detection in synchronous machines with static excitation through frequency response analysis , 2015 .

[25]  Asok Ray,et al.  Detection and estimation of demagnetization faults in permanent magnet synchronous motors , 2013 .

[26]  Nabeel A. O. Demerdash,et al.  Magnetic equivalent circuit modeling of induction machines under stator and rotor fault conditions , 2009, 2009 IEEE International Electric Machines and Drives Conference.

[27]  Tore Undeland,et al.  Magnetic Equivalent Circuit Modeling of the AC Homopolar Machine for Flywheel Energy Storage , 2015, IEEE Transactions on Energy Conversion.

[28]  A.C. Koenig,et al.  A Comparison of Nodal- and Mesh-Based Magnetic Equivalent Circuit Models , 2009, IEEE Transactions on Energy Conversion.

[29]  Gojko Joksimovic.  Line current spectrum analysis in saturated three-phase cage induction machines , 2010 .

[30]  Xiaofeng Ding,et al.  Modeling and Analysis of Interturn Short Fault in Permanent Magnet Synchronous Motors With Multistrands Windings , 2016, IEEE Transactions on Power Electronics.

[31]  Reza Roshanfekr,et al.  Analysis of rotor and stator winding inter-turn faults in WRIM using simulated MEC model and experimental results , 2015 .

[32]  Ali Taheri,et al.  Slot Numbering and Distributed Winding Effects Analysis on the Torque/Current Spectrum of Three-phase Wound-rotor Induction Machine Using Discrete Modeling Method , 2015 .

[33]  Mengqi Zhang,et al.  Magnetic equivalent circuit modeling for interior permanent magnet synchronous machine under eccentricity fault , 2013, 2013 48th International Universities' Power Engineering Conference (UPEC).

[34]  Peyman Naderi.  Torque/current spectral analysis for healthy and eccentricity faulty synchronous reluctance machine using mathematical modeling method , 2016 .

[35]  J. Faiz,et al.  Finite-Element Transient Analysis of Induction Motors Under Mixed Eccentricity Fault , 2008, IEEE Transactions on Magnetics.

[36]  M L Bash,et al.  A magnetic equivalent circuit for automated design of wound-rotor synchronous machines , 2011, 2011 IEEE Electric Ship Technologies Symposium.

[37]  Andreas Kugi,et al.  Modeling of a Permanent Magnet Synchronous Machine With Internal Magnets Using Magnetic Equivalent Circuits , 2014, IEEE Transactions on Magnetics.