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Investigation of torque and sensitivity analysis of a two-phase hybrid stepper motor Cover

Investigation of torque and sensitivity analysis of a two-phase hybrid stepper motor

Open Access
|Jul 2024

Figures & Tables

Figure 1:

A two-phase HSM, (A) Whole motor, (B) Rotor, and (C) Stator [28]. HSM, hybrid stepper motor.
A two-phase HSM, (A) Whole motor, (B) Rotor, and (C) Stator [28]. HSM, hybrid stepper motor.

Figure 2:

Stepper motor testbed, (A) Front view, (B) Back view, 1: Stepper motor, 2: Weights carrier arm, 3: Arduino and LCD shield, 4: Load cell, 5: Weights [28].
Stepper motor testbed, (A) Front view, (B) Back view, 1: Stepper motor, 2: Weights carrier arm, 3: Arduino and LCD shield, 4: Load cell, 5: Weights [28].

Figure 3:

Real motor and simulated model output torque [28].
Real motor and simulated model output torque [28].

Figure 4:

HSM computer model. HSM, hybrid stepper motor.
HSM computer model. HSM, hybrid stepper motor.

Figure 5:

Linearized tooth to tooth arrangement and flux tubes [14, 15].
Linearized tooth to tooth arrangement and flux tubes [14, 15].

Figure 6:

Construction of a two-phase hybrid stepping motor [14].
Construction of a two-phase hybrid stepping motor [14].

Figure 7:

Comparison between torque curves in analytical and numerical simulation models.
Comparison between torque curves in analytical and numerical simulation models.

Figure 8:

A sample meshing used for 3D FEM analysis. FEM, finite element method.
A sample meshing used for 3D FEM analysis. FEM, finite element method.

Figure 9:

Motor torque for different magnet heights.
Motor torque for different magnet heights.

Figure 10:

Flux density, (A) magnet heights 9–21 mm, (B) magnet height is 21 mm, (C) magnet height is 9 mm.
Flux density, (A) magnet heights 9–21 mm, (B) magnet height is 21 mm, (C) magnet height is 9 mm.

Figure 11:

Motor torque for magnet heights from 21 mm to 9 mm when the stator coils are not excited.
Motor torque for magnet heights from 21 mm to 9 mm when the stator coils are not excited.

Figure 12:

Motor torque for different magnet diameters.
Motor torque for different magnet diameters.

Figure 13:

Flux density, (A) magnet diameter is 20.8 mm and (B) magnet diameter is 10.8 mm.
Flux density, (A) magnet diameter is 20.8 mm and (B) magnet diameter is 10.8 mm.

Figure 14:

Motor torque for magnet diameters from 29.8 mm to 24.8 mm when the stator coils are not excited.
Motor torque for magnet diameters from 29.8 mm to 24.8 mm when the stator coils are not excited.

Figure 15:

Motor torque for different magnetic flux densities.
Motor torque for different magnetic flux densities.

Figure 16:

Flux density distribution for two different air gaps- (A) 0.1 mm and (B) 0.05 mm.
Flux density distribution for two different air gaps- (A) 0.1 mm and (B) 0.05 mm.

Figure 17:

Motor torque for different air gaps.
Motor torque for different air gaps.

Figure 18:

Motor torque for different wire-turns in stator coils.
Motor torque for different wire-turns in stator coils.

Figure 19:

Rotor teeth depth influence on motor torque.
Rotor teeth depth influence on motor torque.

Figure 20:

Stator teeth depth influence on motor torque.
Stator teeth depth influence on motor torque.

Figure 21:

Both rotor and stator teeth depth influence on motor torque.
Both rotor and stator teeth depth influence on motor torque.

Figure 22:

Motor torque for different teeth width.
Motor torque for different teeth width.

Figure 23:

Fillet on the teeth edges.
Fillet on the teeth edges.

Figure 24:

The effect of teeth fillet on flux distribution, (A) Fillet radius = 0 mm and (B) Fillet radius = 0.125 mm.
The effect of teeth fillet on flux distribution, (A) Fillet radius = 0 mm and (B) Fillet radius = 0.125 mm.

Figure 25:

Motor torque with different fillet radiuses.
Motor torque with different fillet radiuses.

Figure 26:

Stator pole thickness.
Stator pole thickness.

Figure 27:

Stator pole thickness influence.
Stator pole thickness influence.

Stepper motor experiment results [28]

Current [A]Weights mass [g]Torque [mN/m]
1.05218130.8
1.53297178.2
1.96373223.8
2.35433259.8
2.73477286.2

Motor specifications [28]

Motor outer diameter56.5 mm
Motor body height52 mm
Stator outer diameter54.1 mm
Stator inner diameter30 mm
Number of teeth in each stator pole5
Stator teeth depth1.25 mm
Stator height23 mm
Air gap0.1 mm
Rotor outer diameter29.8 mm
Each half-rotor height10 mm
Distance between two half-rotors3 mm
Number of teeth in each half-rotor50
Rotor teeth depth1.5 mm
Magnet diameter20.8 mm
Magnet height13 mm
Number of wire-turns per coil32
Wire diameter0.6 mm
Stator and rotor materialSteel 1,008
Magnet materialNdFe35 (1.3 T)
Stator and rotors teeth fillet radius0.125 mm
Maximum nominal current3A
Angle per step1.8°
Rotor and stator teeth angle (pitch)7.2°
Rotor and stator teeth width3.6°(0.94 mm)
Stator pole thickness2 mm

The motor parameters

Absolute permeabilityμ04π × 10−7 H/m
Slot thicknesst0.939 mm
Air gap lengthg0.1 mm
Rotor and stator teeth depthd1.375 mm
Tooth thicknesss0.939 mm
Number of teeth per stator poleZs5
Number of rotor teethZr50
Number of wire-turns per stator windingNs32
Excitation currenti1.5 A
Rotor heighth20 mm
Language: English
Submitted on: May 24, 2024
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Published on: Jul 20, 2024
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2024 Mohammadreza Hojati, Amir Baktash, Subhas C. Mukhopadhyay, published by Professor Subhas Chandra Mukhopadhyay
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.