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Stepper Variable Reluctance

Variable reluctance stepper motor

 

Description

Equations

Connections

Parameters

Description

The Stepper Variable Reluctance Motor (or Stepper Motor VR) component models a two-phase variable reluctance stepper machine. The winding resistances and inductances of the two phase windings are identical. The losses in the winding resistances only are taken into account; saturation is not modeled.

Equations

θ=φrflange

τ=τrflange

ω=θ.

ia=ipos1=ineg1ib=ipos2=ineg2ic=ipos3=ineg3

vap=vpos1van=vneg1vbp=vpos2vbn=vneg2vcp=vpos3vcn=vneg3

Jω.+Bω=−12ia212Lmax12LminsinNrθNr+12ib212Lmax12LminsinNrθ+13πNr12ic212Lmax12LmincosNrθ+16πNrτ

12Lmax+12Lmin+12Lmax12LmincosNrθi.a+Ria=vapvan+ia12Lmax12LminsinNrθNrθ.

12Lmax+12Lmin12Lmax12LmincosNrθ+13πi.b+Rib=vbpvbnib12Lmax12LminsinNrθ+13πNrθ.

12Lmax+12Lmin12Lmax12LminsinNrθ+16πi.c+Ric=vcpvcn+ic12Lmax12LmincosNrθ+16πNrθ.

Connections

Name

Description

Modelica ID

plugneg

Negative pin

plug_neg

plugpos

Positive pin winding a

plug_pos

rflange

Shaft end

rflange

Parameters

Name

Default

Units

Description

Modelica ID

J

0.005

kgm2

Rotor moment of inertia

J

B

0.008

Nmsrad

Rotor damping

B

R

1

Ω

Winding resistance

R

Lmax

0.007

H

Maximum winding inductance

Lmax

Lmin

0.002

H

Minimum winding inductance

Lmin

Nr

20

1

Number of rotor teeth

Nr

See Also

Electrical Library

Electrical Machines

Electrical Machines Stepper Machines