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AD2S1205YSTZ Arkusz danych(PDF) 8 Page - Analog Devices

Numer części AD2S1205YSTZ
Szczegółowy opis  12-Bit RDC with Reference Oscillator
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AD2S1205
Rev. A | Page 8 of 20
RESOLVER FORMAT SIGNALS
Vr = Vp × Sin(ωt)
Vb = Vs × Sin(ωt) × Sin(θ)
(A) CLASSICAL RESOLVER
S1
S3
Va = Vs × Sin(ωt) × Cos(θ)
S2
S4
R1
R2
θ
Vr = Vp × Sin(ωt)
Vb = Vs × Sin(ωt) × Sin(θ)
(B) VARIABLE RELUCTANCE RESOLVER
S1
S3
Va = Vs × Sin(ωt) × Cos(θ)
S2
S4
R1
R2
θ
Figure 3. Classical Resolver vs. Variable Reluctance Resolver
A classical resolver is a rotating transformer that typically has a
primary winding on the rotor and two secondary windings on
the stator. A variable reluctance resolver, on the other hand, has the
primary and secondary windings on the stator and no windings
on the rotor, as shown in Figure 3; however, the saliency in this
rotor design provides the sinusoidal variation in the secondary
coupling with the angular position. For both designs, the resolver
output voltages (S3 − S1, S2 − S4) are as follows:
Sinθ
t
Sin
E
S1
S3
0
×
ω
=
)
(
(1)
Cosθ
t
Sin
E
S4
S2
0
×
ω
=
)
(
where:
θ is the shaft angle.
Sin(ωt) is the rotor excitation frequency.
E0 is the rotor excitation amplitude.
The stator windings are displaced mechanically by 90° (see
Figure 3). The primary winding is excited with an ac reference.
The amplitude of subsequent coupling onto the secondary
windings is a function of the position of the rotor (shaft)
relative to the stator. The resolver therefore produces two
output voltages (S3 − S1, S2 − S4), modulated by the sine and
cosine of the shaft angle. Resolver format signals refer to the
signals derived from the output of a resolver, as shown in
Equation 1. Figure 4 illustrates the output format.
S2 – S4
(COSINE)
S3 – S1
(SINE)
R2 – R4
(REFERENCE)
90°
180°
θ
270°
360°
Figure 4. Electrical Resolver Representation


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