Analysis of brushless D.C. motor (BDCM) torque pulsations is an essential step in the diagnosis and control of vibration and noise generated by many electro-mechanical devices. The broad band spectral content of the torque pulsations, as predicted by a mathematical model which accounts for various complex effects, can often be obtained only by numerical integration which is time consuming while permitting little understanding of the dynamic interactions. Prior analytical approaches, such as the Fourier series technique or the d-q axis theory, are limited by the simplifying assumptions needed to compute the torque spectrum. This paper develops a new semi-analytical formulation for the analysis of nonlinear, time-varying BDCM’s which involve both spatial and temporal domains. A modified multi-term harmonic balance method, based on a transformation of the dual-domain problem to a spatial domain formulation, is developed here specifically to compute the magnitude of several harmonics of the pulsating torque. The interacting effects of key parameters, like dynamic eccentricity, magnetic saturation and open stator slots, on the time-varying inductances and rotor flux density distribution are included explicitly in the formulation. The predicted spectra compare very well with those obtained by direct time domain numerical integration. Yet, the proposed method is computationally efficient especially when the model dimension is reduced. It also provides better insight into the high frequency dynamics of the sample case.
Skip Nav Destination
Article navigation
September 1995
Technical Papers
Dynamic Analysis of a Brushless D.C. Motor Using a Modified Harmonic Balance Method
Ming-ran Lee,
Ming-ran Lee
Acoustics and Dynamics Laboratory, Department of Mechanical Engineering, The Ohio State University, 206 West 18th Avenue, Columbus, OH 43210-1107
Search for other works by this author on:
Chandramouli Padmanabhan,
Chandramouli Padmanabhan
Acoustics and Dynamics Laboratory, Department of Mechanical Engineering, The Ohio State University, 206 West 18th Avenue, Columbus, OH 43210-1107
Search for other works by this author on:
Rajendra Singh
Rajendra Singh
Acoustics and Dynamics Laboratory, Department of Mechanical Engineering, The Ohio State University, 206 West 18th Avenue, Columbus, OH 43210-1107
Search for other works by this author on:
Ming-ran Lee
Acoustics and Dynamics Laboratory, Department of Mechanical Engineering, The Ohio State University, 206 West 18th Avenue, Columbus, OH 43210-1107
Chandramouli Padmanabhan
Acoustics and Dynamics Laboratory, Department of Mechanical Engineering, The Ohio State University, 206 West 18th Avenue, Columbus, OH 43210-1107
Rajendra Singh
Acoustics and Dynamics Laboratory, Department of Mechanical Engineering, The Ohio State University, 206 West 18th Avenue, Columbus, OH 43210-1107
J. Dyn. Sys., Meas., Control. Sep 1995, 117(3): 283-291 (9 pages)
Published Online: September 1, 1995
Article history
Received:
June 28, 1993
Online:
December 3, 2007
Citation
Lee, M., Padmanabhan, C., and Singh, R. (September 1, 1995). "Dynamic Analysis of a Brushless D.C. Motor Using a Modified Harmonic Balance Method." ASME. J. Dyn. Sys., Meas., Control. September 1995; 117(3): 283–291. https://doi.org/10.1115/1.2799118
Download citation file:
Get Email Alerts
Cited By
Global-Position Tracking Control for Three-Dimensional Bipedal Robots Via Virtual Constraint Design and Multiple Lyapunov Analysis
J. Dyn. Sys., Meas., Control (November 2022)
Dual-Mode Synchronization Predictive Control of Robotic Manipulator
J. Dyn. Sys., Meas., Control (November 2022)
Gain-Scheduled Steering and Braking Coordinated Control in Path Tracking of Intelligent Heavy Vehicles
J. Dyn. Sys., Meas., Control (October 2022)
A Novel Gegenbauer Wavelet-Based Approach for Stability and Surface Location Error Analyses of Milling Process
J. Dyn. Sys., Meas., Control (October 2022)
Related Articles
Centrifugal Pendulum Vibration Absorbers—Theory and Practice
J. Vib. Acoust (October,1991)
Model- and Information Theory-Based Diagnostic Method for Induction Motors
J. Dyn. Sys., Meas., Control (September,2006)
Dynamic Modeling and Control of a Ball-Joint-Like Variable-Reluctance Spherical Motor
J. Dyn. Sys., Meas., Control (March,1996)
The Contact Problem in Ultrasonic Traveling-Wave Motors
J. Appl. Mech (May,2010)
Related Proceedings Papers
Related Chapters
Fans and Air Handling Systems
Thermal Management of Telecommunications Equipment
Dynamic Behavior of Pumping Systems
Pipeline Pumping and Compression Systems: A Practical Approach
QP Based Encoder Feedback Control
Robot Manipulator Redundancy Resolution