Discrete-Time Complex Bandpass Filters for Three-Phase Converter Systems

Emerson Guest*, Nenad Mijatovic

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

A first-order complex bandpass filter (CBF) derived in the discrete frequency domain is proposed as a building block for the complex signal processing unit in three-phase converter systems. The first-order discrete CBF can be directly implemented in a digital system, is stable at all center frequencies and has a low computational burden. The first-order CBF is extended to a pth-order discrete CBF. A normalized frequency-locked loop (FLL) is then developed that allows the frequency adaption to satisfy a desired settling time regardless of the input signal magnitude or discrete CBF form. The pth-order discrete CBF-FLL was tested on an FPGA in the form of two industrial applications: voltage synchronization under grid fault and extraction of an unknown frequency component. The second-order discrete CBF-FLL offered significantly improved stopband attenuation and frequency estimation relative to the first-order discrete CBF-FLL, for a small increase in computational burden.
Original languageEnglish
JournalI E E E Transactions on Industrial Electronics
Volume66
Issue number6
Pages (from-to)4650 - 4660
ISSN0278-0046
DOIs
Publication statusPublished - 2018

Keywords

  • Frequency estimation
  • Bandpass filters
  • Digital filters

Cite this

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title = "Discrete-Time Complex Bandpass Filters for Three-Phase Converter Systems",
abstract = "A first-order complex bandpass filter (CBF) derived in the discrete frequency domain is proposed as a building block for the complex signal processing unit in three-phase converter systems. The first-order discrete CBF can be directly implemented in a digital system, is stable at all center frequencies and has a low computational burden. The first-order CBF is extended to a pth-order discrete CBF. A normalized frequency-locked loop (FLL) is then developed that allows the frequency adaption to satisfy a desired settling time regardless of the input signal magnitude or discrete CBF form. The pth-order discrete CBF-FLL was tested on an FPGA in the form of two industrial applications: voltage synchronization under grid fault and extraction of an unknown frequency component. The second-order discrete CBF-FLL offered significantly improved stopband attenuation and frequency estimation relative to the first-order discrete CBF-FLL, for a small increase in computational burden.",
keywords = "Frequency estimation, Bandpass filters, Digital filters",
author = "Emerson Guest and Nenad Mijatovic",
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language = "English",
volume = "66",
pages = "4650 -- 4660",
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Discrete-Time Complex Bandpass Filters for Three-Phase Converter Systems. / Guest, Emerson; Mijatovic, Nenad.

In: I E E E Transactions on Industrial Electronics, Vol. 66, No. 6, 2018, p. 4650 - 4660.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Discrete-Time Complex Bandpass Filters for Three-Phase Converter Systems

AU - Guest, Emerson

AU - Mijatovic, Nenad

PY - 2018

Y1 - 2018

N2 - A first-order complex bandpass filter (CBF) derived in the discrete frequency domain is proposed as a building block for the complex signal processing unit in three-phase converter systems. The first-order discrete CBF can be directly implemented in a digital system, is stable at all center frequencies and has a low computational burden. The first-order CBF is extended to a pth-order discrete CBF. A normalized frequency-locked loop (FLL) is then developed that allows the frequency adaption to satisfy a desired settling time regardless of the input signal magnitude or discrete CBF form. The pth-order discrete CBF-FLL was tested on an FPGA in the form of two industrial applications: voltage synchronization under grid fault and extraction of an unknown frequency component. The second-order discrete CBF-FLL offered significantly improved stopband attenuation and frequency estimation relative to the first-order discrete CBF-FLL, for a small increase in computational burden.

AB - A first-order complex bandpass filter (CBF) derived in the discrete frequency domain is proposed as a building block for the complex signal processing unit in three-phase converter systems. The first-order discrete CBF can be directly implemented in a digital system, is stable at all center frequencies and has a low computational burden. The first-order CBF is extended to a pth-order discrete CBF. A normalized frequency-locked loop (FLL) is then developed that allows the frequency adaption to satisfy a desired settling time regardless of the input signal magnitude or discrete CBF form. The pth-order discrete CBF-FLL was tested on an FPGA in the form of two industrial applications: voltage synchronization under grid fault and extraction of an unknown frequency component. The second-order discrete CBF-FLL offered significantly improved stopband attenuation and frequency estimation relative to the first-order discrete CBF-FLL, for a small increase in computational burden.

KW - Frequency estimation

KW - Bandpass filters

KW - Digital filters

U2 - 10.1109/TIE.2018.2860554

DO - 10.1109/TIE.2018.2860554

M3 - Journal article

VL - 66

SP - 4650

EP - 4660

JO - I E E E Transactions on Industrial Electronics

JF - I E E E Transactions on Industrial Electronics

SN - 0278-0046

IS - 6

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