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Warning

This version of the Resolver and its associated Hardware Configurations have been archived.  If starting a new project, consider using a different Hardware Configuration.

### Resolver Configuration Page

In the System Explorer window configuration tree, expand the Power Electronics Add-On custom device and select Circuit Model >> ACIM >> Resolver to display this page.  Use this page to configure the Resolver sensor model.

Excerpt

Angle Conditioning Symbol Units Default Resolver Name Specifies the name of the resolver. Description Specifies a description for the resolver. Number of Pole Pairs pp 1 A gain applied to the mechanical angle of the machine, θm, before it is translated to an electrical resolver signal.  Modify this parameter if the resolver is attached to a gear box rather than connected directly to the rotor. To generate resolver signals whose speed corresponds to the mechanical speed of the machine, set this value to 1.See the Resolver Model Equations for more information. Angle Offset θOffset Degrees 0° Offset from the mechanical angle of the machine θm. Reverse Speed Disabled Reverses the direction of the resolver when enabled. Gain Configuration Sine.Sine Gain Sin.Sin 0.999985 Sine gain applied to the Sine output signal. See the Resolver Model Equations for more information. Sine.Cos Gain Sin.Cos 0 Cosine gain applied to the Sine output signal. See the Resolver Model Equations for more information. Cos.Sin Gain Cos.Sin 0 Sine gain applied to the Cosine output signal. See the Resolver Model Equations for more information. Cos.Cos Gain Cos.Cos 0.999985 Cosine gain applied to the Cosine Output signals. See the Resolver Model Equations for more information. Excitation Conditioning Sampling Frequency Ts MHz 1MHz The frequency at which the Excitation Carrier signal is sampled to determine the Sine and Cosine outputs. See Resolver Excitation Signal for more information. Phase Delay Tpd microseconds 0us Creates a phase delay in the output Sine and Cosine signals.  This is used to simulate a physical delay in non-ideal resolvers.

### Resolver Model Description

A resolver is a sensor that provides feedback about the angular position and velocity of a rotating component, such as the rotor of an electrical motor.

Figure 1.  An example of a operating resolver where a sinusoidal excitation signal is input into the resolver and the result is two output signals, Sine Output and Cosine Output

During operation, a sinusoidal excitation signal is provided to the resolver.  The resolver modulates the input excitation signal to produce two outputs representing sin(x) and cos(x), where x is the angle of the rotor.  From the sin(x) and cos(x) signals controllers are reconstituted to calculate angular position of the machine.

Figure 2.  Sine and Cosine signals generated by a resolver with an input Excitation sinusoidal signal.

#### AnchorEquationsEquationsResolver Model Equations

The resolver model outputs are calculated using the following sets of equations:

LaTeX Math Block
anchor SineOutput center
Sine \; Output = [Sin.Sin*sin(pp(\theta_m - \theta_{Offset})) + Sin.Cos * cos(pp * \theta_m - \theta_{Offset}))] * Excitation

LaTeX Math Block
anchor CosineOutput center
Cosine \; Output = [Cos.Sin*sin(pp(\theta_m - \theta_{Offset})) + Cos.Cos * cos(pp * \theta_m - \theta_{Offset}))] * Excitation

Where Sin.Sin, Sin.Cos, Cos.Sin, and Cos.Cos represent gains that are applied to simulate a non-ideal resolver.  To simulate an ideal resolver, set the Sin.Sin and Cos.Cos gains to 1, set the Sin.Cos and Cos.Sin gains to 0, set the pp to 1, and set the θOffset to 0.  This results in the following equations:

LaTeX Math Block
anchor simpleSineOutput center
Sine \; Output = sin(\theta_m) * Excitation

LaTeX Math Block
anchor simpleCosineOutput center
Cosine \; Output = cos(\theta_m) * Excitation

### AnchorExcitationExcitationResolver Excitation Signal

For this resolver model, the excitation signal must be provided through an Analog Input channel.  To confirm the index of the channel to use, refer to the pinout information for your hardware configuration in the Archived Hardware Configurations section.  In most cases, the following channels are used: