Elmomc SimplIQ Software Manual Manual de usuario Pagina 118

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SimplIQ Software Manual Commutation
MAN-SIMSW (Ver. 1.4)
8-8
8.4 Auto-phasing and Commutation Search
When starting the motor, the rotor can be located anywhere. The torque of a brushless DC
motor is given by the equation:
)sin(IKT
T
θ= (1)
rs
θθ=θ (2)
where:
T is the motor torque.
K
T
is the motor constant.
I is the motor current.
θ is the electrical angle between the rotor and the field at the stator.
θ
s
is the electrical angle of the stator field.
θ
r
is the electrical angle of the rotor.
The angle θ
s
is known because the drive controls it directly. The angle θ
r
is unknown.
If θ
s
is rotated — that is, θ
s
–2πf * t, where f is a frequency and t is the time — the result is
the following sinusoidal torque:
T = K
T
* I * sin(2πf * t - θ
r
) (3)
For that torque, the motor shaft will move according to:
P(t) = A(f) * K
T
* I * sin (2πf * t - θ
r
φ(f)),
where:
P(t) is the motor shaft position.
A(f)e
jφ(f)
is the transfer function of the motor and its load at the frequency f.
By applying a torque of (3) and measuring the position, both A(f) and
r
can be identified.
8.4.1 Selecting Parameters
The parameters I and f can be selected from the following range:
Parameter Description
I The torque is selected by the parameter CA[26], which defines I as a
percentage of the continuous current rating CL[1]. For example, if
CA[26] = 50, then I = 0.5 CL[1].
f CA[15] controls the frequency of the sinusoidal motor torque. The basic
frequency (with CA[15] = 0) is such that a cycle is completed in 128 * TS
microseconds. For a SimplIQ drive with TS=80, this will be a cycle of 10,240
microseconds, which is about 100 Hz.
The frequency is 2
CA[15]
*
basic frequency of CA[15] in the range [-4…4].
For example, with CA[15] = 2, the frequency is about 40 Hz, whereas with
CA[15] = -2, the frequency is about 640 Hz.
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