Hybrid Excitation PMSM

Hybrid excitation synchronous machine with three-phase wye-wound stator

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Libraries:
Simscape / Electrical / Electromechanical / Permanent Magnet

Description

The Hybrid Excitation PMSM block represents a hybrid excitation synchronous machine with a three-phase wye-wound stator. Permanent magnets and excitation windings provide the machine excitation. Use this block to model hybrid excitation permanent magnet synchronous motors (PMSMs), doubly-excited PMSMs, and synchronous motors. This figure shows the equivalent electrical circuit for the stator and rotor windings.

You can also model the permanent magnet synchronous motor either in a delta-wound or in an open-end configuration by setting Winding type to Delta-wound or Open-end, respectively.

Motor Construction

The diagram shows the motor construction with a single pole-pair on the rotor. For the axes convention, when rotor mechanical angle θ_r is zero, the a-phase and permanent magnet fluxes are aligned. The block supports a second rotor axis definition for which rotor mechanical angle is defined as the angle between the a-phase magnetic axis and the rotor q-axis.

Equations

Voltages across the stator windings are defined by

$$\left[\begin{array}{c}{v}_a\\ v_b\\ v_c\end{array}\right]=\left[\begin{array}{ccc}{R}_s& 0& 0\\ 0& R_s& 0\\ 0& 0& R_s\end{array}\right]\left[\begin{array}{c}{i}_a\\ i_b\\ i_c\end{array}\right]+\left[\begin{array}{c}\frac{d{\psi }_a}{dt}\\ \frac{d{\psi }_b}{dt}\\ \frac{d{\psi }_c}{dt}\end{array}\right],$$

where:

• v_a, v_b, and v_c are the individual phase voltages across the stator windings.

• R_s is the equivalent resistance of each stator winding.

• i_a, i_b, and i_c are the currents flowing in the stator windings.

• $$\frac{d{\psi }_a}{dt},$$$$\frac{d{\psi }_b}{dt},$$ and $$\frac{d{\psi }_c}{dt}$$ are the rates of change of magnetic flux in each stator winding.

The voltage across the field winding is expressed as

$$v_f=R_f{i}_f+\frac{d{\psi }_f}{dt},$$

where:

• v_f is the individual phase voltage across the field winding.

• R_f is the equivalent resistance of the field winding.

• i_f is the current flowing in the field winding.

• $$\frac{d{\psi }_f}{dt}$$ is the rate of change of magnetic flux in the field winding.

The permanent magnet, excitation winding, and the three star-wound stator windings contribute to the flux linking each winding. The total flux is defined by

$$\left[\begin{array}{c}{\psi }_a\\ {\psi }_b\\ {\psi }_c\end{array}\right]=\left[\begin{array}{ccc}{L}_{aa}& L_{ab}& L_{ac}\\ L_{ba}& L_{bb}& L_{bc}\\ L_{ca}& L_{cb}& L_{cc}\end{array}\right]\left[\begin{array}{c}{i}_a\\ i_b\\ i_c\end{array}\right]+\left[\begin{array}{c}{\psi }_{am}\\ {\psi }_{bm}\\ {\psi }_{cm}\end{array}\right]+\left[\begin{array}{c}{L}_{amf}\\ L_{bmf}\\ L_{cmf}\end{array}\right]i_f,$$

where:

• ψ_a, ψ_b, and ψ_c are the total fluxes linking each stator winding.

• L_aa, L_bb, and L_cc are the self-inductances of the stator windings.

• L_ab, L_ac, L_ba, L_bc, L_ca, and L_cb are the mutual inductances of the stator windings.

• ψ_am, ψ_bm, and ψ_cm are the magnetization fluxes linking the stator windings.

• L_amf, L_bmf, and L_cmf are the mutual inductances of the field winding.

The inductances in the stator windings are functions of rotor electrical angle and are defined by

${\theta }_e=N{\theta }_r+rotoroffset$

$$L_{aa}=L_s+L_m\text{cos}(2{\theta }_e),$$

$L_{bb}=L_s+L_m\text{cos}(2\left({\theta }_e-2\pi /3\right)),$

$$L_{cc}=L_s+L_m\text{cos}(2\left({\theta }_e+2\pi /3\right)),$$

$$L_{ab}=L_{ba}=-M_s-L_m\cos \left(2\left({\theta }_e+\pi /6\right)\right),$$

$L_{bc}=L_{cb}=-M_s-L_m\cos \left(2\left({\theta }_e+\pi /6-2\pi /3\right)\right),$

$L_{ca}=L_{ac}=-M_s-L_m\cos \left(2\left({\theta }_e+\pi /6+2\pi /3\right)\right),$

where:

• N is the number of rotor pole pairs.

• θ_r is the rotor mechanical angle.

• θ_e is the rotor electrical angle.

• rotor offset is 0 if you define the rotor electrical angle with respect to the d-axis, or -pi/2 if you define the rotor electrical angle with respect to the q-axis.

• L_s is the stator self-inductance per phase. This value is the average self-inductance of each of the stator windings.

• L_m is the stator inductance fluctuation. This value is fluctuation in self-inductance and mutual inductance with changing rotor angle.

• M_s is the stator mutual inductance. This value is the average mutual inductance between the stator windings.

The magnetization flux linking winding, a-a’ is a maximum when θ_e = 0° and zero when θ_e = 90°. Therefore:

$${\psi }_m=\left[\begin{array}{c}{\psi }_{am}\\ {\psi }_{bm}\\ {\psi }_{cm}\end{array}\right]=\left[\begin{array}{c}{\psi }_m\cos {\theta }_e\\ {\psi }_m\cos \left({\theta }_e-2\pi /3\right)\\ {\psi }_m\cos \left({\theta }_e+2\pi /3\right)\end{array}\right],$$

$$L_{mf}=\left[\begin{array}{c}{L}_{amf}\\ L_{bmf}\\ L_{cmf}\end{array}\right]=\left[\begin{array}{c}{L}_{mf}\cos {\theta }_e\\ L_{mf}\cos \left({\theta }_e-2\pi /3\right)\\ L_{mf}\cos \left({\theta }_e+2\pi /3\right)\end{array}\right],$$

and

$${\Psi }_f=L_f{i}_f+L_{mf}^T\left[\begin{array}{c}{i}_a\\ i_b\\ i_c\end{array}\right],$$

where:

• ψ_m is the linked motor flux.

• L_mf is the mutual field armature inductance.

• ψ_f is the flux linking the field winding.

• L_f is the field winding inductance.

• $${\left[L_{mf}\right]}^T$$ is the transform of the L_mf vector, that is,

  $${\left[L_{mf}\right]}^T={\left[\begin{array}{c}{L}_{amf}\\ L_{bmf}\\ L_{cmf}\end{array}\right]}^T=\left[\begin{array}{ccc}{L}_{amf}& L_{bmf}& L_{cmf}\end{array}\right].$$

Simplified Equations

Applying the Park transformation to the block electrical defining equations produces an expression for torque that is independent of rotor angle.

The Park transformation is defined by

$P=2/3\left[\begin{array}{ccc}\cos {\theta }_e& \cos \left({\theta }_e-2\pi /3\right)& \cos \left({\theta }_e+2\pi /3\right)\\ -\sin {\theta }_e& -\sin \left({\theta }_e-2\pi /3\right)& -\sin \left({\theta }_e+2\pi /3\right)\\ 0.5& 0.5& 0.5\end{array}\right]$

Applying the Park transformation to the first two electrical defining equations produces equations that define the block behavior:

$v_d=R_s{i}_d+L_d\frac{d{i}_d}{dt}+L_{mf}\frac{d{i}_f}{dt}-N\omega i_q{L}_q,$

$v_q=R_s{i}_q+L_q\frac{d{i}_q}{dt}+N\omega (i_d{L}_d+{\psi }_m+i_f{L}_{mf}),$

$v_0=R_s{i}_0+L_0\frac{d{i}_0}{dt}$

$$v_f=R_f{i}_f+L_f\frac{d{i}_f}{dt}+\frac{3}{2}{L}_{mf}\frac{d{i}_d}{dt},$$

$T=\frac{3}{2}N\left(i_q\left(i_d{L}_d+{\psi }_m+i_f{L}_{mf}\right)-i_d{i}_q{L}_q\right),$

and

$J\frac{d\omega }{dt}=T=T_L-B_m\omega .$

where:

• v_d, v_q, and v₀ are the d-axis, q-axis, and zero-sequence voltages. These voltages are defined by

  $\left[\begin{array}{c}{v}_d\\ v_q\\ v_0\end{array}\right]=P\left[\begin{array}{c}{v}_a\\ v_b\\ v_c\end{array}\right].$

• i_d, i_q, and i₀ are the d-axis, q-axis, and zero-sequence currents, defined by

  $\left[\begin{array}{c}{i}_d\\ i_q\\ i_0\end{array}\right]=P\left[\begin{array}{c}{i}_a\\ i_b\\ i_c\end{array}\right].$

• L_d is the stator d-axis inductance. L_d = L_s + M_s + 3/2 L_m.

• ω is the mechanical rotational speed.

• L_q is the stator q-axis inductance. L_q = L_s + M_s − 3/2 L_m.

• L₀ is the stator zero-sequence inductance. L₀ = L_s – 2M_s.

• T is the rotor torque. For the Hybrid Excitation PMSM block, torque flows from the machine case (block conserving port C) to the machine rotor (block conserving port R).

• J is the rotor inertia.

• T_L is the load torque.

• B_m is the rotor damping.

Model Thermal Effects

You can expose thermal ports to model the effects of generated heat and motor temperature. To expose the thermal ports, set the Modeling option parameter to either:

• No thermal port — The block contains expanded electrical conserving ports associated with the stator windings, but does not contain thermal ports.

• Show thermal port — The block contains expanded electrical conserving ports associated with the stator windings and thermal conserving ports for each of the windings and for the rotor.

For more information about using thermal ports in actuator blocks, see Simulating Thermal Effects in Rotational and Translational Actuators.

Variables

To set the priority and initial target values for the block variables before simulation, use the Initial Targets section in the block dialog box or Property Inspector. For more information, see Set Priority and Initial Target for Block Variables.

Nominal values provide a way to specify the expected magnitude of a variable in a model. Using system scaling based on nominal values increases the simulation robustness. You can specify nominal values using different sources, including the Nominal Values section in the block dialog box or Property Inspector. For more information, see System Scaling by Nominal Values.

Examples

HESM Torque Control

Control the torque in a hybrid excitation synchronous machine (HESM) based electrical-traction drive. Permanent magnets and an excitation winding excite the HESM. A high-voltage battery feeds the SM through a controlled three-phase converter for the stator windings and through a controlled four quadrant chopper for the rotor winding. An ideal angular velocity source provides the load. The Control subsystem uses an open-loop approach to control the torque and a closed-loop approach to control the current. At each sample instant, the torque request is converted to relevant current references. The current control is PI-based. The simulation uses several torque steps in both the motor and generator modes. The Visualization subsystem contains scopes that allow you to see the simulation results.

• Open Model

HESM Velocity Control

Control the rotor angular velocity in a hybrid excitation synchronous machine (HESM) based electrical-traction drive. Permanent magnets and an excitation winding excite the HESM. A high-voltage battery feeds the HESM through a controlled three-phase converter for the stator windings and through a controlled four quadrant chopper for the rotor winding. An ideal torque source provides the load. The Control subsystem includes a multi-rate PI-based cascade control structure. The control structure has an outer angular-velocity-control loop and three inner current-control loops. The Visualization subsystem contains scopes that allow you to see the simulation results.

• Open Model

Assumptions

Flux distribution is sinusoidal.

Ports

Conserving

R — Machine rotor

mechanical rotational

Mechanical rotational conserving port associated with the machine rotor.

C — Machine case

mechanical rotational

Mechanical rotational conserving port associated with the machine case.

~ — Three-phase composite

electrical

Expandable three-phase port associated with the stator windings.

Dependencies

To enable this port, set Electrical connection to Composite three-phase ports and Winding type to Wye-wound or Delta-wound.

a — a-phase

electrical

Electrical conserving port associated with a-phase.

Dependencies

To enable this port, set Electrical connection to Expanded three-phase ports and Winding type to Wye-wound or Delta-wound.

b — b-phase

electrical

Electrical conserving port associated with b-phase.

Dependencies

To enable this port, set Electrical connection to Expanded three-phase ports and Winding type to Wye-wound or Delta-wound.

c — c-phase

electrical

Electrical conserving port associated with c-phase.

Dependencies

To enable this port, set Electrical connection to Expanded three-phase ports and Winding type to Wye-wound or Delta-wound.

~1 — Stator positive-end connections

electrical

Since R2024a

Expandable three-phase port associated with the stator positive-end connections.

Dependencies

To enable this port, set Electrical connection to Composite three-phase ports and Winding type to Open-end.

~2 — Stator negative-end connections

electrical

Since R2024a

Expandable three-phase port associated with the stator negative-end connections.

Dependencies

To enable this port, set Electrical connection to Composite three-phase ports and Winding type to Open-end.

a1 — a positive-end connection

electrical

Since R2024a

Electrical conserving port associated with the a positive-end connection.

Dependencies

To enable this port, set Electrical connection to Expanded three-phase ports and Winding type to Open-end.

b1 — b positive-end connection

electrical

Since R2024a

Electrical conserving port associated with the b positive-end connection.

Dependencies

To enable this port, set Electrical connection to Expanded three-phase ports and Winding type to Open-end.

c1 — c positive-end connection

electrical

Since R2024a

Electrical conserving port associated with the c positive-end connection.

Dependencies

To enable this port, set Electrical connection to Expanded three-phase ports and Winding type to Open-end.

a2 — a negative-end connection

electrical

Since R2024a

Electrical conserving port associated with the a negative-end connection.

Dependencies

To enable this port, set Electrical connection to Expanded three-phase ports and Winding type to Open-end.

b2 — b negative-end connection

electrical

Since R2024a

Electrical conserving port associated with the b negative-end connection.

Dependencies

To enable this port, set Electrical connection to Expanded three-phase ports and Winding type to Open-end.

c2 — c negative-end connection

electrical

Since R2024a

Electrical conserving port associated with the c negative-end connection.

Dependencies

To enable this port, set Electrical connection to Expanded three-phase ports and Winding type to Open-end.

n — Neutral phase

electrical

Electrical conserving port associated with the neutral phase.

Dependencies

To enable this port, set Winding type to Wye-wound and Zero sequence to Include.

fd+ — Field winding positive terminal

electrical

Electrical conserving port associated with the field winding positive terminal.

fd- — Field winding negative terminal

electrical

Electrical conserving port associated with the field winding negative terminal.

HA — Winding A thermal port

thermal

Thermal conserving port associated with winding A.

Dependencies

To enable this port, set Modeling option to Show thermal port.

HB — Winding B thermal port

thermal

Thermal conserving port associated with winding B.

Dependencies

To enable this port, set Modeling option to Show thermal port.

HC — Winding C thermal port

thermal

Thermal conserving port associated with winding C.

Dependencies

To enable this port, set Modeling option to Show thermal port.

HR — Rotor thermal port

thermal

Thermal conserving port associated with the rotor.

Dependencies

To enable this port, set Modeling option to Show thermal port.

Parameters

Modeling option — Whether to enable thermal ports

No thermal port (default) | Show thermal port

Whether to enable the thermal ports of the block and model the effects of generated heat and motor temperature.

Main

Electrical connection — Electrical connection

Composite three-phase ports (default) | Expanded three-phase ports

Whether to have composite or expanded three-phase ports.

Winding type — Windings configuration

Wye-wound (default) | Delta-wound | Open-end

Since R2024a

Select the configuration for the windings:

• Wye-wound — The windings are wye-wound.

• Delta-wound — The windings are delta-wound. The a-phase is connected between ports a and b, the b-phase between ports b and c and the c-phase between ports c and a.

• Open-end — The windings are in an open-end configuration. The block exposes each end of the windings as electrical connections.

Modeling fidelity — Modeling fidelity

Constant Ld, Lq, Lmf, Lf and PM (default) | Tabulated Ld, Lq, Lmf, Lf and PM

Select the modeling fidelity:

• Constant Ld, Lq, Lmf, Lf and PM — Ld, Lq, Lmf, Lf, and PM values are constant and defined by their respective parameters.

• Tabulated Ld, Lq, Lmf, Lf and PM — Ld, Lq, Lmf, Lf, and PM values are computed online from DQ and field currents look-up tables as follows:

  $$L_d=f_1(i_d,i_q,i_f)$$

  $$L_q=f_2(i_d,i_q,i_f)$$

  $$L_{mf}=f_3(i_d,i_q,i_f)$$

  $${\lambda }_{PM}=f_4(i_d,i_q,i_f)$$

  $$L_f=f_5(i_f)$$

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0.

Number of pole pairs — Rotor pole pairs

6 (default) | integer

Number of permanent magnet pole pairs on the rotor.

Permanent magnet flux linkage — Flux linkage

0.09 Wb (default) | positive integer

Peak permanent magnet flux linkage for any of the stator windings.

Dependencies

This parameter is visible only when you set the Modeling fidelity parameter to Constant Ld, Lq, Lmf, Lf and PM.

Stator parameterization — Parameterization model

Specify Ld, Lq and L0 (default) | Specify Ls, Lm, and Ms

Stator parameterization model.

Dependencies

The Stator parameterization setting affects the visibility of other parameters.

Stator d-axis inductance, Ld — Inductance

0.0031 H (default)

Direct-axis inductance of the machine stator.

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0 and the Modeling fidelity parameter to Constant Ld, Lq, Lmf, Lf and PM.

Stator q-axis inductance, Lq — Inductance

0.0045 H (default)

Quadrature-axis inductance of the machine stator.

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0 and the Modeling fidelity parameter to Constant Ld, Lq, Lmf, Lf and PM.

Direct-axis current vector, iD — Direct-axis current vector

[-200, 0, 200] A (default)

Direct-axis current vector, iD.

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0 and the Modeling fidelity parameter to Tabulated Ld, Lq, Lmf, Lf and PM.

Quadrature-axis current vector, iQ — Quadrature-axis current vector

[-200, 0, 200] A (default)

Quadrature-axis current vector, iQ.

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0 and the Modeling fidelity parameter to Tabulated Ld, Lq, Lmf, Lf and PM.

Excitation current vector, iF — Excitation current vector

[-20, 0, 20] A (default)

Excitation current vector, iF.

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0 and the Modeling fidelity parameter to Tabulated Ld, Lq, Lmf, Lf and PM.

Ld matrix, Ld(id,iq,if) — Ld matrix

0.0031 * ones(3, 3, 3) H (default)

Ld matrix.

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0 and the Modeling fidelity parameter to Tabulated Ld, Lq, Lmf, Lf and PM.

Lq matrix, Lq(id,iq,if) — Lq matrix

0.0045 * ones(3, 3, 3) H (default)

Lq matrix.

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0 and the Modeling fidelity parameter to Tabulated Ld, Lq, Lmf, Lf and PM.

Mutual field armature inductance, Lmf(id,iq,if) — Mutual field armature inductance

0.0067 * ones(3, 3, 3) H (default)

Mutual field armature inductance.

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0 and the Modeling fidelity parameter to Tabulated Ld, Lq, Lmf, Lf and PM.

Permanent magnet flux linkage, PM(id,iq,if) — Permanent magnet flux linkage

0.1 * ones(3, 3, 3) Wb (default)

Permanent magnet flux linkage.

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0, the Modeling fidelity parameter to Tabulated Ld, Lq, Lmf, Lf and PM.

Lf vector, Lf(if) — Lf vector

0.06 * ones(1, 3) H (default)

Lf vector.

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0, the Modeling fidelity parameter to Tabulated Ld, Lq, Lmf, Lf and PM.

Stator zero-sequence inductance, L0 — Inductance

0.0006 H (default)

Zero-axis inductance for the machine stator.

Dependencies

This parameter is visible only if Stator parameterization is set to Specify Ld, Lq and L0 and Zero sequence is set to Include.

Stator self-inductance per phase, Ls — Inductance

0.0027 H (default)

Average self-inductance of the three stator windings.

Dependencies

This parameter is visible only if Stator parameterization is set to Specify Ls, Lm, and Ms.

Stator inductance fluctuation, Lm — Inductance

-0.0005 H (default)

Fluctuation in self-inductance and mutual inductance with the rotor angle.

Dependencies

This parameter is visible only if Stator parameterization is set to Specify Ls, Lm, and Ms.

Stator mutual inductance, Ms — Inductance

0.0011 H (default)

Average mutual inductance between the stator windings.

Dependencies

This parameter is visible only if Stator parameterization is set to Specify Ls, Lm, and Ms.

Field winding inductance, Lf — Inductance

0.06 H (default)

Inductance of the field winding.

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0 and the Modeling fidelity parameter to Constant Ld, Lq, Lmf, Lf and PM or Stator parameterization parameter to Specify Ls, Lm, and Ms

Mutual field armature inductance, Lmf — Inductance

0.0067 H (default)

Armature-field mutual inductance.

Dependencies

This parameter is visible only when you set the Stator parameterization parameter to Specify Ld, Lq, and L0 and the Modeling fidelity parameter to Constant Ld, Lq, Lmf, Lf and PM or Stator parameterization parameter to Specify Ls, Lm, and Ms

Stator resistance per phase, Rs — Resistance

0.7 Ohm (default)

Resistance of each of the stator windings.

Field winding resistance, Rf — Resistance

2.85 Ohm (default)

Resistance of the field winding.

Zero sequence — Zero-sequence model

Include (default) | Exclude

Zero-sequence model:

• Include — Prioritize model fidelity. An error occurs if you Include zero-sequence terms for simulations that use the Partitioning solver. For more information, see Increase Simulation Speed Using the Partitioning Solver.

• Exclude — Prioritize simulation speed for desktop simulation or real-time deployment.

Dependencies

If this parameter is set to:

• Include and Stator parameterization is set to Specify Ld, Lq, and L0 — The Stator zero-sequence inductance, L0 parameter is visible.

• Exclude — The Stator zero-sequence inductance, L0 parameter is not visible.

Rotor angle definition — Angle

Angle between the a-phase magnetic axis and the d-axis (default) | Angle between the a-phase magnetic axis and the q-axis

Reference point for the rotor angle measurement. If you select the default value, the rotor and a-phase fluxes are aligned for a zero-rotor angle. Otherwise, an a-phase current generates the maximum torque value for a zero-rotor angle.

Mechanical

Rotor inertia — Inertia

0.01 kg*m^2 (default)

Inertia of the rotor attached to mechanical translational port R.

Rotor Damping — Damping

0 N*m/(rad/s) (default)

Rotary damping.

Thermal

To enable these parameters, set Modeling option to Show thermal port.

Measurement temperature — Measurement temperature

298.15 K (default)

The temperature for which motor parameters are quoted.

Resistance temperature coefficient — Resistance temperature coefficient

3.93e-3 1/K (default)

Coefficient α in the equation relating resistance to temperature, as described in Thermal Model for Actuator Blocks. The default value is for copper.

Permanent magnet flux temperature coefficient — Permanent magnet flux temperature coefficient

-0.001 (default)

The fractional rate of change of permanent magnet flux density with temperature. It is used to linearly reduce the torque and the induced back EMF as temperature rises.

Thermal mass for each stator winding — Thermal mass for each stator winding

100 J/K (default)

The thermal mass value for the A, B, and C windings. The thermal mass is the energy required to raise the temperature by one degree.

Rotor thermal mass — Rotor thermal mass

200 J/K (default)

The thermal mass of the rotor, that is, the energy required to raise the temperature of the rotor by one degree.

References

[1] Kundur, P. Power System Stability and Control. New York, NY: McGraw Hill, 1993.

[2] Mbayed, R. Analysis of Faulted Power Systems. Hoboken, NJ: Wiley-IEEE Press, 1995.

[3] Anderson, P. M. Contribution to the Control of the Hybrid Excitation Synchronous Machine for Embedded Applications. Universite de Cergy Pontoise, 2012.

[4] Luo, X. and T. A. Lipo. “A Synchronous/Permanent Magnet Hybrid AC Machine.” IEEE Transactions of Energy Conversion. Vol. 15, No 2 (2000), pp. 203–210.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2017b

R2024a: Open-end and delta-wound configurations for stator windings

In addition to the wye-wound configuration, you can also model the stator windings of the machine in a delta-wound configuration or in an open-end configuration.

To model the stator windings of the machine in a delta-wound configuration, set the Winding type parameter to Delta-wound. The a-phase is connected between ports a and b, the b-phase between ports b and c and the c-phase between ports c and a.

To model the stator windings of the machine in an open-end configuration, set the Winding type parameter to Open-end. The Hybrid Excitation PMSM block then exposes each end of the windings by enabling the corresponding electrical conserving ports.

R2021b: Electrical connection ports update

From R2021b forward, to switch between composite and expanded ports, set the Electrical connection parameter to either Composite three-phase ports or Expanded three-phase ports.

As a result of these changes, inside a model saved in an earlier release, review the Electrical connection parameter of this block.