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

Emerson Guest; Nenad Mijatovic

doi:10.1109/TIE.2018.2860554

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

Emerson Guest^*, Nenad Mijatovic

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-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 language	English
Journal	I E E E Transactions on Industrial Electronics
Volume	66
Issue number	6
Pages (from-to)	4650 - 4660
ISSN	0278-0046
DOIs	https://doi.org/10.1109/TIE.2018.2860554
Publication status	Published - 2018

Keywords

Frequency estimation
Bandpass filters
Digital filters

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10.1109/TIE.2018.2860554

08425079Accepted author manuscript, 1.28 MB

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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.",

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author = "Emerson Guest and Nenad Mijatovic",

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

AU - Guest, Emerson

AU - Mijatovic, Nenad

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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

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JO - I E E E Transactions on Industrial Electronics

JF - I E E E Transactions on Industrial Electronics

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