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3-Phase AC Motor Model (LTspice)

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3-Phase AC Motor Model (LTspice)

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3-Phase AC Motor Model (LTspice)

  1. 1. All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 1 3-Phase AC Motor Model Simplifies SPICE Behavior Model [LTspice Model Version] Bee Technologies Inc.
  2. 2. • The Torque are defined by : At 140Arms (Rated Continuous Current) KT = 1.6 Lb-in/A Tphe = 1.6  140 = 224Lb-in Te = 224*3= 672Lb-in • The Back-EMF are defined by : At 5000 RPM (Maximum Speed) Ephe ≈ VBAT (In an ideal motor, R and L are zero) Ephe = 102V KE = Ephe /ωm = 102 / 5000 KE ≈ 0.02V/RPM 1) Torque and Back-EMF All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 2 wTw vTv uTu IKT IKT IKT    mEw mEv mEu KE KE KE        phe : u, v, w Vphe : Phase voltage applied from inverter to motor VAC : Operating voltage range (Maximum voltage) VBAT : DC Voltage applied from battery Iphe : Phase current Tphe : Electric torque produced by u, v, w phase Te : Electric torque produced by motor Ephe : Phase Back-EMF KE : Back-EMF constant KT : Torque constant ωm : Angular speed of rotor  1 Pound Inch equals 0.11 Nm TwTvTueT  (1) (2) (3)
  3. 3. 2) Simplified 3-Phase AC Motor Model All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 3 Phase Resistance (L-L) : 0.0125Ω Phase Inductance : 105uH : 110uH Frequency Response 105uH 110uH Fig.2 Phase-to-GroundFig. 1 Scheme of the 3-Phase Model AC Motor
  4. 4. 3) The 3-Phase AC Motor Equivalent Circuit • This figure shows the equivalent circuit of AC motor model that includes the |Z|- frequency part ,Back-EMF voltage part ,and Mechanical part. • The Back-EMF voltage is the voltage generated across the motor's terminals as the windings move through the motor's magnetic field. All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 4 |Z| - Frequency Back-EMF Voltage Mechanical part Fig. 3 Three-Phase AC Motor Equivalent Circuit
  5. 5. 4) Parameters Settings All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 5 LOAD : Load current each phase of motor [Arms] – e.g. LL = 125Arms, 140Arms, or 400Arms LL : Phase inductance [H] – e.g. LL = 10mH, 100mH, or 1H RLL : Phase resistance (Phase-to-phase) [Ω] – e.g. RLL = 10mΩ, 100mΩ, or 1Ω KE : Back-EMF constant [V/RPM] – e.g. KE= 0.01, 0.05, or 0.1 KT : Torque constant [Lb-in/A] – e.g. KT= 0.1, 0.5, or 1  1 Pound Inch equals 0.11 Nm Model Parameters: Fig. 4 Symbol of 3-Phase Induction Motor • From the 3-Phase Induction Motor specification, the model is characterized by setting parameters LL, RLL, KE, KT and LOAD.

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