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CST – COMPUTER SIMULATION TECHNOLOGY | www.cst.com
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Electromagnetic simulation of electric motors for automotive applications Adrian Scott Market Development Manager Low Frequency Applications
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Quick introduction to CST EMS for LF simulation and applications Short summary of motors in automotive applications Typical motor design parameters Simulation example of a PMSM – model set up and useful design parameter extraction Other motor examples : Induction and reluctance motors Outlook CST EMS 2016
Agenda
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CST EM STUDIO® Solvers
Electrostatics
Stationary Currents
Magnetostatics Time Domain
Frequency Domain
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Rotating machines
Synchronous
PMSM (Brushless DC)
Externally excited (ESM)
Reluctance
Switched Reluctance
(SRM)
Variable Reluctance
(VRSM)
Asynchronous
IM
Traction motor candidates for HEV/EVs
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Typical synchronous motor parameters
Requirement Goal Open Circuit MMF Characteristic Parameterization V versus Flux
Torque versus torque angle Parameterization
Torque optimization Maximize
Cogging torque Minimize - vibration
Lq/Ld Extraction Equivalent circuit
Iron loss calculation Efficiency
Permanent magnet demagnetization Short circuit risk
Flux weakening capability Wide range of operating speed
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Electrical machine features 2D Transient and Magnetostatic
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1. 2D LT Motion solver 2. Permanent magnet transformation 3. Coil grouping 4. State-Space (Ms) 5. Transient Inductance monitors (LT) + Back EMF (LT) 6. Impedance Matrix (LF) 7. Core Loss models (LT)
Key features : 2015
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Iron Loss Calculation Methods
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Conceptual example PMSM Optimization
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Permanent Magnet Synchronous Motor
• Stator consisting of • three-phase rotating field winding
system, non-linear steel
• Rotor consisting of • Permanent magnets • Air barriers for flux diversion
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Multi-phase winding/coil systems Voltage and/or current groups Reduced inductance matrix Summation of coils‘ inductances „Terminals“ i.e. single or 3-phase
systems....
Colouring helps to ensure correct coil definition
Coil Grouping / Colouring
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Permanent magnet definition
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Air-Gap Definition (rotional)
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Stator and Rotor steel M19 BH Data
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Mesh with local mesh properties
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PMSM optimization Average torque and torque ripple (check also cogging torque?) Permanent magnet radial position, angle between magnets, magnet lengths, barrier geometry Motivation : difficult to derive analytical expressions due to non-linear effects e.g. Barrier shape, proximity to rotor surface Conflict of interests : maximum torque, reduced ripple!
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Steady state torque and ripple M
inim
ize
Max
imiz
e
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Rotor permanent magnets and barriers
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Average Torque
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Torque ripple
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Sum of all goals
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Initial and Optimized Steady State Torque
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Steady-State torque
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Cogging torque (stator open circuit)
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Optimized PMSM geometry
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B-Field (Abs) versus time
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Core losses in Stator and Rotor
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Incremental Inductance versus time
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Back-EMF results
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Back EMF vs. Speed (Frequency)
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Other motor types
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Induction motor performance Performance characteristic Torque
vs. Speed vs. Frequency
12000 rpm
Torq
ue,
Nm
Speed, rev/min Slip
Standstill S = 1 S = 0
Constant Voltage/frequency (V/f) control scheme for induction motors
100 – 400 Hz Squirrel Cage Type 4 Pole, 400 Hz 3-Phase Stator Winding (AC Supply) Synchronous speed proportional to
applied frequency Rotor “slips” behind synchronous
field
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Induction motor B-Field
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CPU Acceleration Pyhsical cores/multi-threading
Distributing Computing Parametric/optimisation
Induction motor simulation Single simulation (e.g. @ Slip_T_max) Total time 1 Thread: 9m : 23s Total time 4 Threads: 5m : 15s Acceleration: 1.8
Acceleration
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Switched Reluctance Machine
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Salient Pole Synchronous Motor
Salient pole rotor with DC excitation
4 Pole, 50 Hz, 3-Phase Stator Winding (AC Supply)
Synchronous speed proportional to FREQUENCY / Number of magnetic poles
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Salient Pole Synchronous Motor Open circuit (no-load) test
Rotor speed = synchronous speed Stator RMS voltage (phase A) versus field current, I_field
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Multiple rotations : magnetic gear
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Shaded-Pole Induction Motor (SPIM)
2D Transient motion
Eddy currents in cage and shaded-pole rings, non-linear magnetic materials
Standard Torque-Speed curves
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New features in EMS 2016
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1. Voltage driven coils in 2D (LT) 2. Zero NET current constraint in LT 2D in magnets 3. Permanent magnet demagnetization Monitor (LT) 4. Periodicity LT (subvolume) 5. Equation of motion (LT) 6. Linear motion (LT) 7. Additional core loss models 8. 2D Forces, 3D LT Force density (Ms, LT) 9. H-Field calculation for (LF EQS) 10. Moment calculation (Ms)
Key features : 2016
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PMSM : Pulse Width Modulation New voltage sources in 2D LT Transient User-Defined PWM stator voltage signals PWM Signals from inverter unit
Motor Control
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New features in EMS 2015 for the simulation of electrical machines – Efficient 2D simulations Simulation example of a PMSM – model set up and useful design parameter extraction The possibilities to optimize design parameters of a PMSM was shown Same principles can also be applied to induction and reluctance motors Outlook CST EMS 2016
Summary