Sine-Cosine Lookup

Implement sine and cosine functions using lookup table approach

• Library:

• Motor Control Blockset / Controls / Math Transforms

• 

Description

The Sine-Cosine Lookup block implements sine and cosine functions using the specified position or phase input signal.

The block uses the lookup table approach for optimized code-execution. You can specify the number of lookup table points in the Number of data points for lookup table parameter.

This figure shows the input position and the generated sine and cosine output signals:

Ports

Input

θe — Reference voltage position

scalar

Position or phase value of the reference voltage signal specified as scalar in either per-unit, radians, or degrees.

Data Types: single | double | fixed point

Output

sin — Sine voltage waveform

scalar

Sine waveform output with a frequency that is identical to the position or phase signal (θe) frequency.

Data Types: single | double | fixed point

cos — Cosine voltage waveform

scalar

Cosine waveform output with a frequency that is identical to the position or phase signal (θe) frequency.

Data Types: single | double | fixed point

Parameters

Theta units — Unit of θe

Per-unit (default) | Radians | Degrees

Unit of the input reference voltage position.

Number of data points for lookup table — Size of lookup table array

1024 (default) | scalar

Size of the lookup table array.

Model Examples

Field-Oriented Control of Induction Motor Using Speed Sensor

Implements the field-oriented control (FOC) technique to control the speed of a three-phase AC induction motor (ACIM). The FOC algorithm requires rotor speed feedback, which is obtained in this example by using a quadrature encoder sensor. For details about FOC, see Field-Oriented Control (FOC).

Field-Weakening Control (with MTPA) of PMSM

Implements the field-oriented control (FOC) technique to control the torque and speed of a three-phase permanent magnet synchronous motor (PMSM). The FOC algorithm requires rotor position feedback, which is obtained by a quadrature encoder sensor. For details about FOC, see Field-Oriented Control (FOC).

Field-Oriented Control of PMSM Using Hall Sensor

Implements the field-oriented control (FOC) technique to control the speed of a three-phase permanent magnet synchronous motor (PMSM). The FOC algorithm requires rotor position feedback, which is obtained by a Hall sensor. For details about FOC, see Field-Oriented Control (FOC).

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Fixed-Point Conversion
Design and simulate fixed-point systems using Fixed-Point Designer™.