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Instability in Inverter-Fed Induction Motor Drives

Research Project

Project/Area Number 01550345
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 計測・制御工学
Research InstitutionDaido Institute of Technology

Principal Investigator

MATSUBARA Masakazu  Daido Institute of Technology, Department of Electrical Engineering. Professor, 工学部, 教授 (60022969)

Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1990: ¥200,000 (Direct Cost: ¥200,000)
Fiscal Year 1989: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywordsinduction motor / stability / Routh criterion / bifurcation theory / tangential bifurcation / Hopf bifurcation
Research Abstract

In the inverter-fed induction motor drives an instability accompanied by speed fluctuations appears often in light-load and low-speed operations. This is caused not by the introduction of the inverter but by the induction motor itself. This phenomenon is such that an equilibrium point becomes unstable as the operating condition is varied and that a stable limit cycle appears around the equilibrium point. So, from the bifurcation-theoretical standpoint, this is to be dealt with as the Hopf bifurcation. However, only a few investigations based on such a standpoint have been reported so far.
In this work the stability of an induction motor driven by a variable-amplitude and variable-frequency sinusoidal voltage source is investigated from the bifurcation-theoretical standpoint. The entire bifurcation set is determined in the parameter space of the frequency, slip and load torque. The following points were made clear :
(1) Only four types of the hyperbolic equilibrium point, that is, _0PD, _1ND, _2PD and _3ND appear. Of these four, only the _0PD type is stable.
(2) The tangential bifurcation takes place at the peak point of the torque-speed curve. _0PD and _1ND types appear in the lower-slip side (statically stable side) of the tangential bifurcation set while _2PD and _3ND types do in the other side.
(3) The Hopf bifurcation accompanied by limit cycles takes place at the boundary of _0PD and _1ND regions and at the boundary of _2PD and _3ND regions. Stable limit cycles are observed within the _1ND region.
(4) The tangential bifurcation set is distorted by the saturation so as to enlarge the statically stable region.
(5) The Hopf bifurcation set is composed of three manifolds, but only the one located in the highest-slip side remains when the magnetic saturation is disregarded.

Report

(3 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • Research Products

    (4 results)

All Other

All Publications (4 results)

  • [Publications] 松原 正一: "誘導電動機の安定性解析" 計測自動制御学会論文集.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Masakazu Matsubara: "Stability Analysis of Induction Motors" Trans. Soc. Instrument & Control Engineers.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 松原 正一: "誘導電動機の安定性解析" 計測自動制御学会論文集.

    • Related Report
      1990 Annual Research Report
  • [Publications] 松原正一: "誘導電動機の不安定性と速度振動" 電気学会論文誌D.

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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