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On mechanical governors for electric motors

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Abstract

In this work I propose a mechanism whereby a Watt mechanical governor can be used in the context of electric motor control. The motor considered is the shunt or parallel dc motor, in which flux weakening is used as a speed regulation strategy. Connection of the governorballs to a variable resistor in series with the stator circuit results in automatic flux weakening as the motor speed changes, and this phenomenon can be used to alter the torque-speed characteristics of the motor in the desired manner. After demonstrating the details of this process under the steady state assumption, I construct the dynamic model for the combined motor–governor arrangement. The system is a set of coupled nonlinear differential equations. Linearization about the fixed point yields the conditions for stable operation and also shows the possibility of a Hopf bifurcation. I introduce a self-consistent procedure for finding the characteristics of the limit cycle. The existence of this limit cycle is supported by numerical simulations.

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Acknowledgments

I am grateful to Kishore Vaigyanik Protsahan Yojana (KVPY), Government of India, for a generous Fellowship. I would also like to mention that the present work is an extension of a summer project done in May–June 2013 at IIT Kharagpur under Prof. Krishna Kumar.

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  1. Department of Physics, Indian Institute of Technology Kanpur, NH91, Kalyanpur, Kanpur , 208016, UP, India

    Shayak Bhattacharjee

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  1. Shayak Bhattacharjee
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Correspondence to Shayak Bhattacharjee.

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Bhattacharjee, S. On mechanical governors for electric motors. Nonlinear Dyn 77, 153–168 (2014). https://doi.org/10.1007/s11071-014-1281-9

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  • DOI: https://doi.org/10.1007/s11071-014-1281-9

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