Concept Kit 3-Phase AC Motor Drive Circuit Simulation (LTspice Version)
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This document provides a model and simulation of a 3-phase AC motor. It includes specifications for a Motenergy ME0913 motor and defines the torque, back-EMF, and equivalent circuit model. Simulation results show characteristics of phase current, back-EMF, speed and torque under varying load conditions. The model and simulation analyze motor operation powered by alternating voltage variations.
![Concept Kit
3-Phase AC Motor
Drive Simulation
For Electric Drive Systems
[LTspice Version]
All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 1](https://image.slidesharecdn.com/3-phaseacmotormodelltspiceopen-120912011139-phpapp02/85/Concept-Kit-3-Phase-AC-Motor-Drive-Circuit-Simulation-LTspice-Version-1-320.jpg)
![1.5) Parameters Settings
Model Parameters:
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
Fig. 4 Symbol of 3-Phase Induction Motor KT : Torque constant [Lb-in/A]
– e.g. KT= 0.1, 0.5, or 1
1 Pound Inch equals 0.11 Nm
• From the 3-Phase Induction Motor specification, the model is characterized by setting parameters
LL, RLL, KE, KT and LOAD.
All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 7](https://image.slidesharecdn.com/3-phaseacmotormodelltspiceopen-120912011139-phpapp02/85/Concept-Kit-3-Phase-AC-Motor-Drive-Circuit-Simulation-LTspice-Version-7-320.jpg)
Concept Kit 3-Phase AC Motor Drive Circuit Simulation (LTspice Version)
- 1. Concept Kit 3-Phase AC Motor Drive Simulation For Electric Drive Systems [LTspice Version] All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 1
- 2. Contents Slide # 1. Modeling of 3-Phase AC Motor Model 1.1 Manufacturer Specification......................................................................................................... 3 1.2 Torque and Back-EMF............................................................................................................... 4 1.3 Simplified 3-Phase AC Motor Model......................................................................................... 5 1.4 The 3-Phase AC Motor Equivalent Circuit................................................................................. 6 1.5 Parameter Settings..................................................................................................................... 7 2. Simulation Circuit of 3-Phase AC Motor Model................................................................................ 8 2.1 Phase Current Characteristics Under Load Variation................................................................ 9 2.2 Back-EMF Characteristics Under Load Condition..................................................................... 10 2.3 Speed and Torque Characteristics At 140Arms........................................................................ 11 Appendix A: Measured Point of Simulation Circuit (1/2)........................................................... 12 Appendix A: Measured Point of Simulation Circuit (2/2)........................................................... 13 Appendix B: Evaluation Text...................................................................................................... 14 Appendix C: Gate Signal for Six-Step Control........................................................................... 15 Appendix D: 3-Phase AC Motor Model Text (1/2)..................................................................... 16 Appendix D: 3-Phase AC Motor Model Text (2/2)..................................................................... 17 Appendix E: Simulation Settings................................................................................................ 18 All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 2
- 3. 1.1) Manufacturer Specification Motenergy, Inc (ME0913) Motor Electrical Parameters • Operating Voltage Range..........................0 – 72 V MAX • Rated Continuous Current........................140 Arms • Peak Stalled Current.................................400 Arms • Voltage Constant.......................................50 RPM/V • Phase Resistance (L-L).............................0.0125 Ω • Phase Inductance......................................105uH at 120Hz, 110uH at 1kHz • Maximum Continuous Power Rating……..17KW at 102V DC Battery Voltage 14.3KW at 84VDC Battery Voltage 12KW at 72VDC Battery Voltage Motor Mechanical Parameters • Rated Speed.............................................3000 RPM • Maximum Speed.......................................5000 RPM • Rated Torque............................................288 Lb-in • Torque Constant.......................................1.6 Lb-in/A All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 3
- 4. 1.2) Torque and Back-EMF • The Torque are defined by : phe : u, v, w Tu = KT ⋅ Iu Vphe : Phase voltage applied from inverter to motor Tv = KT ⋅ Iv (1) VAC : Operating voltage range (Maximum voltage) Tw = KT ⋅ Iw VBAT : DC Voltage applied from battery Te = Tu + Tv + Tw (2) Iphe : Phase current At 140Arms (Rated Continuous Current) Tphe : Electric torque produced by u, v, w phase KT = 1.6 Lb-in/A Te : Electric torque produced by motor Ephe : Phase Back-EMF Tphe = 1.6 140 = 224Lb-in KE : Back-EMF constant Te = 224*3= 672Lb-in KT : Torque constant • The Back-EMF are defined by : ωm : Angular speed of rotor Eu = KE ⋅ ω m 1 Pound Inch equals 0.11 Nm Ev = K E ⋅ ω m (3) Ew = K E ⋅ ω m 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 All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 4
- 5. 1.3) Simplified 3-Phase AC Motor Model Frequency Response 110uH 105uH Phase Resistance (L-L) : 0.0125Ω Phase Inductance : 105uH : 110uH Fig. 1 Scheme of the 3-Phase Model Fig.2 Phase-to-Ground All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 5
- 6. 1.4) The 3-Phase AC Motor Equivalent Circuit Back-EMF Voltage |Z| - Frequency Mechanical part Fig. 3 Three-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 6
- 7. 1.5) Parameters Settings Model Parameters: 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 Fig. 4 Symbol of 3-Phase Induction Motor KT : Torque constant [Lb-in/A] – e.g. KT= 0.1, 0.5, or 1 1 Pound Inch equals 0.11 Nm • From the 3-Phase Induction Motor specification, the model is characterized by setting parameters LL, RLL, KE, KT and LOAD. All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 7
- 8. 2) Simulation Circuit of 3-Phase AC Motor Model • Fig.5 Analysis of motor operation powered by alternating voltage variation involves using the model of three-phase induction motor. All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 8
- 9. 2.1) Phase Current Characteristics Under Load Variation - Simulation Results Load 50Arms Load 140Arms Load 200Arms Reference of Phase U Fig. 6 Current Characteristics under load Condition All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 9
- 10. 2.2) Back-EMF Characteristics Under Load Condition - Simulation Results Load 50Arms Load 140Arms Load 200Arms Reference of Phase U Fig. 7 Back-EMF Characteristics under load Condition All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 10
- 11. 2.3) Speed and Torque Characteristics At 140Arms - Simulation Results The Load 140(Arms) is Rated Continuous Current RPM Tphe: Electric torque produced by each phase Lb-in Tphe ≈ 244Lb-in Reference of Phase U Fig. 8 Speed and Torque Characteristics at Load=140Arms All Rights Reserved Copyright (C) Bee Technologies Inc. 2012 11