This block implements a squirrel-cage induction machine (SCIM) with magnetizing inductance saturation in the stationary (stator) reference frame along with the temperature effects on the stator and rotor resistances.
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b={T_{s}}*(\frac{F_{v}}{J}) |
where ωm is the rotor speed, Te is the electromagnetic torque, Tm is the torque command, Fv is the viscous friction coefficient, J is the inertia and Ts the time step. There is a dead-zone implementation with the static friction torque, if the electromagnetic doesn't exceed the static friction torque, the speed remains zero.
In speed mode, the rotor speed is directly set to the speed command ωrc.
Resolver Encoder Model
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\text { sine }=\text { Excitation } \times\left(\cos \left(\theta_{\text {res}}\right) * R_{k_{c c}}+\sin \left(\theta_{\text {res}}\right) * R_{k_{s c}}\right) |
where θres is the resolver angle, θmec is the mechanical angle of the machine, θoffset is the angle offset, Rpp is the Number of pole pairs of the resolver and Rk are the resolver sine cosine gains.
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Symbol | Name | Description | Unit | Type |
|---|---|---|---|---|
| Rsnom | Stator resistance | Stator winding resistance of phase a, b, and c | Ω | Input |
| Rrnom' | Rotor resistance | Equivalent rotor winding resistance referred to the stator of phase a, b, and c | Ω | Input |
Δθ | Temperature difference | Temperature difference w.r.t the initial temperature of stator and rotor windings | °C | Input |
| αcondstator | Stator temperature coefficient of resistance | Temperature coefficient of resistance of stator winding | °C-1 | Input |
| αcondrotor | Rotor temperature coefficient of resistance | Temperature coefficient of resistance of rotor winding | °C-1 | Input |
| Lls | Stator leakage inductance | Stator winding leakage inductance of phase a, b, and c | H | Input |
| Llr' | Rotor leakage inductance | Equivalent rotor winding leakage inductance referred to the stator of phase a, b, and c | H | Input |
| Esat | Electrical saturation profile input | Choose your saturation profile between (More details)
| N/A | Dropdown |
| Vsll | Stator voltage line to line table | No Load saturation curve parameters | V | File |
| Lm | Magnetizing inductance table | Stator-rotor mutual (magnetizing) inductance of phase a, b, and c | H | File |
| Nsr | Turns ratio | Stator to rotor windings turns ratio | N/A | Input |
| pp | Number of pole pairs | Number of pole pairs | N/A | Input |
| is | Stator phase currents | Stator currents measured at phases a, b and c | A | Measurement |
| ir | Rotor phase currents | Rotor equivalent phase a, b, and c currents, referred to the stator | A | Measurement |
| isαβ | Stator αβcurrents | Stator currents in αβ frame | A | Measurement |
| isqd | Stator qd currents | Stator currents in qd frame (αβ frame) | A | Measurement |
| irαβ | Rotor αβ currents | Rotor currents in αβ frame, referred to the stator | A | Measurement |
| irqd | Rotor qd currents | Rotor currents in qd frame, referred to the stator (αβ frame) | A | Measurement |
| Vsαβ | Stator αβ voltages | Stator voltages in αβ frame | V | Measurement |
| Φsαβ | Stator αβ fluxes | Stator fluxes in αβ frame | Wb | Measurement |
| Φrαβ | Rotor αβ fluxes | Rotor fluxes in αβ frame, referred to the stator | Wb | Measurement |
| Rsn | Snubber resistance | Resistances of the snubber on phase A, B and C | Ω | Input |
| Csn | Snubber capacitance | Capacitance of the snubber on phase A, B and C | F | Input |
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Symbol | Name | Description | Unit | Type |
|---|---|---|---|---|
| J | Rotor inertia | Moment of inertia of the rotor | kg*m2 | Input |
| Fv | Viscous friction coefficient | Viscous friction | N*m*s/rad | Input |
| Fs | Static friction torque | Static friction | N*m | Input |
| ctrl | Mechanical control mode | Control mode of the mechanical model. Has two possible values: speed or torque. In speed mode, the mechanical model is bypassed and the speed command is sent directly. In torque mode, the torque command is used to measure the speed using the mechanical parameters of the machine. | Input | |
| T | Torque command | Torque command sent to the mechanical model | N*m | Input |
| ωrc | Rotor speed command | Speed command sent to the mechanical model | rpm | Input |
| ωr | Rotor speed | Speed of the rotor | rpm | Measurement |
| Te | Electromagnetic torque | Torque measured at the rotor | N*m | Measurement |
| θ0 | Initial rotor angle | Rotor position at time t = 0 | ° | Input |
| θ | Rotor angle | Rotor position from 0 to 360 degrees | ° | Measurement |
Resolver Parameters and Measurements
Symbol | Name | Description | Unit | Type |
|---|---|---|---|---|
| Ren | Enable resolver | Whether or not to enable the resolver | N/A | Input |
| Rsc | Resolver feedback signals | The two two-phase windings producing a sine and cosine feedback current proportional to the sine and cosine of the angle of the motor | N/A | Measurement |
| Rpp | Number of resolver pole pairs | Number of pole pairs of the resolver | N/A | Input |
| Rdir | Direction of the sensor rotation | Direction in which the sensor is turning, either clockwise or counterclockwise | N/A | Input |
| Rθ | Angle offset Δθ ( Sensor- Rotor ) | Angle offset between the resolver and the rotor position from 0 to 360 degrees | ° | Input |
| Rk | Resolver sine cosine gains | The sine/cosine modulation output sine/cosine component amplitude. Default value are 1, 0, 0 and 1 | N/A | Input |
| Etype | Excitation source type | The source from which the excitation of the resolver is generated. Can either be AC, which is generated inside the FPGA with the specified frequency, DC, which is generated with a 90° from the rotor and External, which is generated from outside the model | N/A | Input |
| Ef | Excitation frequency | Frequency of the excitation when in AC mode | Hz | Input |
| Esrc | Excitation source | Source of the external excitation source when in External mode | N/A | Input |
| Ets | Excitation time shift | This parameter is used to compensate the time offset between the carrier generation's input in the system and modulated signals' output | s | Input |
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Symbol | Name | Description | Unit | Type |
|---|---|---|---|---|
| Encen | Enable encoder | Whether or not to enable the encoder | N/A | Input |
| Enctype | Encoder type | Encoder type, either Quadrature or Hall Effect | N/A | Input |
| QABZ | A B Z encoder signals | A B and Z signals of the encoder | N/A | Measurement |
| Qppr | Number of pulses per revolution | Number of pulses in one full revolution of the encoder | N/A | Input |
| Qdir | Direction of the sensor rotation | Direction in which the sensor is turning, either A leads B or B leads A | N/A | Input |
| Qθ | Angle offset Δθ ( Sensor - Rotor ) | Angle offset between the encoder and the rotor position from 0 to 360 degrees | ° | Input |
| Qrat | Encoder speed ratio ( sensor to mechanical position ) | Mechanical to encoder ratio. Angle of Encoder = Qrat * machine mechanical angle. | N/A | Input |
| Hθ | Hall effect sensor position | Position of sensor phases A, B and C in Hall effect mode | ° | Input |
Visualization of Resolver Encoder Parameters Effects
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