Open AccessHigh‐accuracy multi‐rate implementation of resonant integrator using FPGA
Author(s) -
Ghoshal Anirban,
John Vinod
Publication year - 2017
Publication title -
iet power electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.637
H-Index - 77
eISSN - 1755-4543
pISSN - 1755-4535
DOI - 10.1049/iet-pel.2015.0702
Subject(s) - integrator , control theory (sociology) , lookup table , discretization , range (aeronautics) , controller (irrigation) , emulation , sampling (signal processing) , frequency deviation , mathematics , electronic engineering , algorithm , computer science , automatic frequency control , filter (signal processing) , engineering , bandwidth (computing) , mathematical analysis , computer network , agronomy , telecommunications , control (management) , artificial intelligence , economic growth , economics , computer vision , biology , programming language , aerospace engineering
Second‐order generalised integrator or resonant integrator (RI) has wide range of applications. Forward and backward Euler's approximation based two integrator realisation of RI is an easily implementable frequency adaptive method. However, it suffers from resonant frequency deviation due to discretisation. The discretisation methods that lead to accurate realisation of RI require online calculation or lookup table of trigonometric functions to accommodate frequency variation. In this study, multi‐rate computation‐based implementation of two integrator‐based RI has been proposed to minimise resonant frequency deviation. In this method, no additional logic elements are consumed to achieve accurate resonant frequency location. This along with down‐sampling leads to lesser phase lag of RI. The effect of quantisation on resonant frequency deviation has been analysed for proper choice of calculation time. It is also shown that appropriate choice of down‐sampling instants give a range of phase response characteristics around the nominal continuous time RI phase response. The accuracy of resonant frequency emulation has been experimentally verified by implementing a proportional–resonant controller as current controller.