Fast Calculation of Strand Eddy Current Loss in Inverter-Fed Electrical Machines

This article investigates the complex slot leakage magnetic field and the strand eddy current loss in windings of inverter-fed electrical machines. It shows that the magnetic saturation and the pulsewidth modulation (PWM) harmonics could have a significant influence on the slot leakage magnetic field, and thus may influence the eddy current loss. To consider these effects while reducing the computation burden, a semianalytical strand eddy current loss calculation method is proposed based on the slot leakage field calculation by a two-dimensional (2-D) magnetostatic finite-element method (FEM) and a 2-D analytical high-frequency eddy current loss expression. The frozen differential permeability method and the linear time-harmonics FEM are used to fast calculate the PWM-induced slot leakage field with the magnetic saturation considered. Besides, a conductor position model is used to extract the conductor coordinates and leakage field information for calculating the eddy current loss. The proposed method is implemented and experimentally validated on a surface-mounted permanent magnet electromechanical actuator fed by a PWM inverter for aircraft application. It shows high calculation accuracy and fast calculation speed, which is suitable for motor-inverter system design and optimization.

[1]  Sa Zhu,et al.  Modeling of PWM-Induced Iron Losses With Frequency-Domain Methods and Low-Frequency Parameters , 2022, IEEE Transactions on Industrial Electronics.

[2]  T. Jahns,et al.  Investigation and Prediction of High-Frequency Iron Loss in Lamination Steels Driven by Voltage-Source Inverters Using Wide-Bandgap Switches , 2021, IEEE Transactions on Industry Applications.

[3]  G. Volpe,et al.  Efficient Calculation of PWM AC Losses in Hairpin Windings for Synchronous BPM Machines , 2021, 2021 IEEE International Electric Machines & Drives Conference (IEMDC).

[4]  R. Qu,et al.  Minimization of AC Copper Loss in Permanent Magnet Machines by Transposed Coil Connection , 2021, IEEE Transactions on Industry Applications.

[5]  H. Rossmanith,et al.  Fast Numerical Power Loss Calculation for High-Frequency Litz Wires , 2021, IEEE Transactions on Power Electronics.

[6]  M. Takemoto,et al.  Investigation of Enhancing Output Power Density in Ultra-High-Speed Motors with Concentrated Winding Structure , 2020, 2020 IEEE Energy Conversion Congress and Exposition (ECCE).

[7]  Jürgen Biela,et al.  Survey and Comparison of 1D/2D analytical Models of HF Losses in Litz Wire , 2020, 2020 22nd European Conference on Power Electronics and Applications (EPE'20 ECCE Europe).

[8]  S. Moros,et al.  The influence of saturation on eddy currents in form-wound windings of electrical machines , 2020, 2020 International Conference on Electrical Machines (ICEM).

[9]  M. Gabsi,et al.  Hybrid model for AC Losses in High Speed PMSM for arbitrary flux density waveforms , 2020, 2020 International Conference on Electrical Machines (ICEM).

[10]  Kan Zhou,et al.  Computationally Efficient AC Resistance Model for Stator Winding With Rectangular Conductors , 2020, IEEE Transactions on Magnetics.

[11]  Fabrizio Marignetti,et al.  AC Winding Losses in Automotive Traction E-Machines: A New Hybrid Calculation Method , 2019, 2019 IEEE International Electric Machines & Drives Conference (IEMDC).

[12]  Y. C. Chong,et al.  Computationally Efficient Strand Eddy Current Loss Calculation in Electric Machines , 2019, IEEE Transactions on Industry Applications.

[13]  M. Cheng,et al.  Fast Calculation of Carrier Harmonic Loss in Permanent Magnet of IPMSM Under PWM VSI Supply Over Entire Working Range , 2019, IEEE Transactions on Energy Conversion.

[14]  J. Tapia,et al.  Closed-Form Solution for the Slot Leakage Inductance of Tooth-Coil-Winding Permanent Magnet Machines , 2018, 2018 IEEE Energy Conversion Congress and Exposition (ECCE).

[15]  K. Yamazaki,et al.  Analysis and Reduction of Circulating Current Loss of Armature Wires in Permanent Magnet Synchronous Machines , 2018, 2018 IEEE Energy Conversion Congress and Exposition (ECCE).

[16]  Bulent Sarlioglu,et al.  A Review of Integrated Motor Drive and Wide-Bandgap Power Electronics for High-Performance Electro-Hydrostatic Actuators , 2018, IEEE Transactions on Transportation Electrification.

[17]  David Gerada,et al.  Multidomain Optimization of High-Power-Density PM Electrical Machines for System Architecture Selection , 2018, IEEE Transactions on Industrial Electronics.

[18]  Hongliang Ren,et al.  Analytical Computation for AC Resistance and Reactance of Electric Machine Windings in Ferromagnetic Slots , 2018, IEEE Transactions on Energy Conversion.

[19]  Thomas M. Jahns,et al.  Prediction and evaluation of PWM-induced current ripple in IPM machines incorporating slotting, saturation, and cross-coupling effects , 2018, 2017 20th International Conference on Electrical Machines and Systems (ICEMS).

[20]  Andrea Cavagnino,et al.  Accuracy-Enhanced Algorithms for the Slot Leakage Inductance Computation of Double-Layer Windings , 2017, IEEE Transactions on Industry Applications.

[21]  Ronghai Qu,et al.  Effect of AC losses on temperature rise distribution in concentrated windings of permanent magnet synchronous machines with parallel strands , 2017, 2017 20th International Conference on Electrical Machines and Systems (ICEMS).

[22]  Johann W. Kolar,et al.  Litz wire losses: Effects of twisting imperfections , 2017, 2017 IEEE 18th Workshop on Control and Modeling for Power Electronics (COMPEL).

[23]  Christian Endisch,et al.  Optimization algorithms for maximizing the slot filling factor of technically feasible slot geometries and winding layouts , 2016, 2016 6th International Electric Drives Production Conference (EDPC).

[24]  Patrick Chi-Kwong Luk,et al.  An Improved Sideband Current Harmonic Model of Interior PMSM Drive by Considering Magnetic Saturation and Cross-Coupling Effects , 2016, IEEE Transactions on Industrial Electronics.

[25]  Antero Arkkio,et al.  Efficient Finite-Element Computation of Circulating Currents in Thin Parallel Strands , 2016, IEEE Transactions on Magnetics.

[26]  Antonios G. Kladas,et al.  Switching Frequency Impact on Permanent Magnet Motors Drive System for Electric Actuation Applications , 2015, IEEE Transactions on Magnetics.

[27]  Phil Mellor,et al.  AC losses in high frequency electrical machine windings formed from large section conductors , 2014, 2014 IEEE Energy Conversion Congress and Exposition (ECCE).

[28]  Jan A. Ferreira,et al.  Current Sharing Analysis of Parallel Strands in Low-Voltage High-Speed Machines , 2014, IEEE Transactions on Industrial Electronics.

[29]  Daniel M. Saban,et al.  Study of the Copper Losses in a High-Speed Permanent-Magnet Machine With Form-Wound Windings , 2014, IEEE Transactions on Industrial Electronics.

[30]  D. Hawkins,et al.  Analytical Model of Eddy Current Loss in Windings of Permanent-Magnet Machines Accounting for Load , 2012, IEEE Transactions on Magnetics.

[31]  Jonathan Bremner,et al.  Influence of PWM on the Proximity Loss in Permanent-Magnet Brushless AC Machines , 2008, IEEE Transactions on Industry Applications.

[32]  Jan Abraham Ferreira,et al.  Improved analytical modeling of conductive losses in magnetic components , 1994 .

[33]  P. L. Dowell,et al.  Effects of eddy currents in transformer windings , 1966 .