FPGA Implementation of the Trigonometric Functions Using the CORDIC Algorithm

Kumar, Puli Anil

doi:10.1109/icaccs.2019.8728315

Cited by 28 publications

(12 citation statements)

References 6 publications

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“…This is based on the assumption that functions supporting trigonometric calculations are used, usually present in microcontrollers dedicated to drive systems (e.g. CORDIC in STM32G431) [11]. The lack of inverse calculations of the Clarke and Park transforms in the theta-FOC method is compensated by additional calculations of the voltage vector position as a function of PWM modulation, necessary to be performed.…”

Section: The Proposed Control Methodsmentioning

confidence: 99%

New Method of Vector Control in PMSM Motors

Kolano

2023

IEEE Access

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The paper introduces a new method for vector control of PMSM (Permanent Magnet Synchronous Motor) motors called theta-FOC. This method combines the advantages of simple sinusoidal control and Field Oriented Control (FOC). The paper proposes introducing an additional parameter that determines the electrical angle between the motor's voltage space vector and rotor magnetic flux axis. The classical Field Oriented Control was modified to reduce the number of necessary calculations. The proposed method allows for decoupling the calculations from the cyclic PWM (Pulse Width Modulation) signal, enabling calculations to be performed at a frequency different from PWM. This results in the possibility of achieving a higher frequency of the PWM signal. Additionally, the proposed method minimizes the influence of deviation between the actual PWM voltage and the voltage command generated from the controller at high PWM frequencies, leading to better operation of the system in terms of field weakening. This method has been tested under typical operating conditions and has performed similarly to the FOC method, but with a reduced number of calculations, and therefore reduced control time.

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Section: The Proposed Control Methodsmentioning

confidence: 99%

New Method of Vector Control in PMSM Motors

Kolano

2023

IEEE Access

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“…Azim [7] presents a more modern approach wherein one can also do the approximation without technology. Kusaka [8] seeks to increase computation speeds for low performing computers, while Kumar [9] does the same thing for faster computers.…”

Section: Other Approaches Approximating the Trigonometric Functionsmentioning

confidence: 99%

Rotation without Imaginary Numbers, Transcendental Functions, or Infinite Sums

Bakhos¹

2023

JAMCS

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Quaterns are introduced as a new measure of rotation. Rotation in quaterns has an advantage in that only simple algebra is required to convert back and forth between rectangular and polar coordinates that use quaterns as the angle measure. All analogue trigonometric functions also become algebraic when angles are expressed in quaterns. This paper will show how quatern measure can be easily used to approximate trigonometric functions in the first quadrant without recourse to technology, infinite sums, imaginarynumbers, or transcendental functions. Using technology, these approximations can be applied to all four quadrants to any degree of accuracy. This will also be shown by approximating \(\pi\) to any degree of accuracy desired without reference to any traditional angle measure at all.

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“…Several embedded platforms, such as the Field-Programmable Gate Array (FPGA) and application-specified integrated circuitry, can help implement trigonometric functions in electronic systems [ 2 ]. The lookup table (LUT) [ 3 ], polynomial approximation [ 4 ], and coordinate rotation digital computer (CORDIC) [ 5 , 6 , 7 , 8 , 9 ] are the main algorithms for implementing trigonometric functions in these embedded platforms. Among these algorithms, although the LUT has small latency, it requires a large storage capacity of the ROM [ 10 ].…”

Section: Introductionmentioning

confidence: 99%

A New Recursive Trigonometric Technique for FPGA-Design Implementation

Xing

Wang

2023

Sensors

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This paper presents a new recursive trigonometric (RT) technique for Field-Programmable Gate Array (FPGA) design implementation. The traditional implementation of trigonometric functions on FPGAs requires a significant amount of data storage space to store numerous reference values in the lookup tables. Although the coordinate rotation digital computer (CORDIC) can reduce the required FPGA storage space, their implementation process can be very complex and time-consuming. The proposed RT technique aims to provide a new approach for generating trigonometric functions to improve communication accuracy and reduce response time in the FPGA. This new RT technique is based on the trigonometric transformation; the output is calculated directly from the input values, so its accuracy depends only on the accuracy of the inputs. The RT technique can prevent complex iterative calculations and reduce the computational errors caused by the scale factor K in the CORDIC. Its effectiveness in generating highly accurate cosine waveform is verified by simulation tests undertaken on an FPGA.

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FPGA Implementation of the Trigonometric Functions Using the CORDIC Algorithm

Cited by 28 publications

References 6 publications

New Method of Vector Control in PMSM Motors

New Method of Vector Control in PMSM Motors

Rotation without Imaginary Numbers, Transcendental Functions, or Infinite Sums

A New Recursive Trigonometric Technique for FPGA-Design Implementation

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