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AD2S1200

12-Bit R/D Converter with Reference Oscillator

Analog Devices 

AD2S1200

RESOLVER FORMAT SIGNALS

Vr = Vp × Sin(ϖt)

R1

S2

Va = Vs × Sin(ϖt) × Cos(θ)

R1

θ

S4

R2

R2

S1

S3

Vb = Vs × Sin(ϖt) × Sin(θ)

Vr = Vp × Sin(ϖt)

θ

S2

Va = Vs × Sin(ϖt) × Cos(θ)

S4

S1

S3

Vb = Vs × Sin(ϖt) × Sin(θ)

(A) CLASSICAL RESOLVER

(B) VARIABLE RELUCTANCE RESOLVER

Figure 3. Classical Resolver vs. Variable Reluctance Resolver

A resolver is a rotating transformer typically with a primary

winding on the rotor and two secondary windings on the stator.

In the case of a variable reluctance resolver, there are no wind-

ings on the rotor as shown in Figure 3. The primary winding is

on the stator as well as the secondary windings, but the saliency

in the rotor design provides the sinusoidal variation in the

secondary coupling with the angular position. Either way, the

resolver output voltages (S3–S1, S2–S4) will have the same

equations as shown in Equation 1.

S3 − S1 = E0 Sinωt × Sinθ

S2 − S4 = E0 Sinωt ×Cosθ

θ = Shaft Angle

Sinωt = Rotor Excitation Frequency

E0 = Rotor Excitation Amplitude

Equation 1.

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 stator secon-

dary 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 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 TO S4

(Cos)

S3 TO S1

(Sin)

R2 TO R4

(REF)

0°

90°

180°

270°

360°

θ

Figure 4. Electrical Resolver Representation

Rev. 0 | Page 8 of 24

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