Input transformation: calculating iq and id, 1 input transformation: calculating iq and id – ElmoMC SimplIQ Digital Servo Drives-Bell Command Reference User Manual

Page 298

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background image

LPF, 1

st

order

d/dt limiter

PF[13]

PF[7,8,14]

2

Effective
current
demand

Σ

I

q

Σ

I

d

-

-

KP[1],KI[1]
XA[6]

Q - Current
controller

Σ

Speed
correction

KP[1],KI[1]
PF[9]

Q - Current
controller

Σ

Speed
correction

0

Output
Trans-
formation
and
saturation

V

q

V

d

Field angle WS[20]

Input

Trans-

formation

Ia

Ib

Ic

Phase
currents

Va

Vb

Vc

LPF, 1

st

order

PF[12]

DC voltage

3-phase

motors

only

Σ

Cogging correction
lookup table

PN[2]

Current cmd prefilter

Figure 20: Block diagram of the current controller

9.1.1

Input Transformation: Calculating Iq and Id

When the motor winding is sinusoidal, the Iq and the Id are calculated as follows:

(

)

(

)

2

cos(

cos(

cos(

3

2

sin(

sin(

)

120 )

240 )

)

120 )

2

si

40 )

n(

3

q

a

c

d

a

c

o

o

b

o

o

b

I

I

I

I

I

I

I

I

θ

θ

θ

θ

θ

θ

+

+

+

+

+

=

+

+

+

=

(Three phase case,

CA[28]=0)

Or

cos(

cos(

)

90 )

)

sin(

sin(

90 )

o

b

o

q

a

d

a

b

I

I

I

I

I

I

θ

θ

θ

θ

+

+

+

=

+

=

(Two

phase

case,

CA[28]=0)

This means that when Iq=1, Id=0 the current through each of the motor windings is
sinusoidal, and its peak value is 1 Amp, and its RMS value is 0.707Amp.

SimplIQ for Steppers Application Note

The Current Controller

MAN-STECR (Ver. 1.1)

99

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