Digital System Performance Enhancement of a Tent Map-Based ADC for Monitoring Photovoltaic Systems

Efficient photovoltaic installations require control systems that detect small signal variations over large measurement ranges. High measurement accuracy requires data acquisition systems with high-resolution analogue-to-digital converters; however, high resolutions and operational speeds generally...

Full description

Bibliographic Details
Main Authors: Philippa Hazell, Peter Mather, Andrew Longstaff, Simon Fletcher
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/9/9/1554
id doaj-4cde89e1139646babc96666cccd19601
record_format Article
spelling doaj-4cde89e1139646babc96666cccd196012020-11-25T03:28:32ZengMDPI AGElectronics2079-92922020-09-0191554155410.3390/electronics9091554Digital System Performance Enhancement of a Tent Map-Based ADC for Monitoring Photovoltaic SystemsPhilippa Hazell0Peter Mather1Andrew Longstaff2Simon Fletcher3Department of Engineering & Technology, University of Huddersfield, Huddersfield HD1 3DH, UKDepartment of Engineering & Technology, University of Huddersfield, Huddersfield HD1 3DH, UKDepartment of Engineering & Technology, University of Huddersfield, Huddersfield HD1 3DH, UKDepartment of Engineering & Technology, University of Huddersfield, Huddersfield HD1 3DH, UKEfficient photovoltaic installations require control systems that detect small signal variations over large measurement ranges. High measurement accuracy requires data acquisition systems with high-resolution analogue-to-digital converters; however, high resolutions and operational speeds generally increase costs. Research has proven low-cost prototyping of non-linear chaotic Tent Map-based analogue-to-digital converters (which fold and amplify the input signal, emphasizing small signal variations) is feasible, but inherent non-ideal Tent Map gains reduce the output accuracy and restrict adoption within data acquisition systems. This paper demonstrates a novel compensation algorithm, developed as a digital electronic system, for non-ideal Tent Map gain, enabling high accuracy estimation of the analogue-to-digital converter analogue input signal. Approximation of the gain difference compensation values (reducing digital hardware requirements, enabling efficient real-time compensation), were also investigated via simulation. The algorithm improved the effective resolution of a 16, 20 and 24 Tent Map-stage analogue-to-digital converter model from an average of 5 to 15.5, 19.2, and 23 bits, respectively, over the Tent Map gain range of 1.9 to 1.99. The simulated digital compensation system for a seven Tent Map-stage analogue-to-digital converter enhanced the accuracy from 4 to 7 bits, confirming real-time compensation for non-ideal gain in Tent Map-based analogue-to-digital converters was achievable.https://www.mdpi.com/2079-9292/9/9/1554data acquisitionanalogue-to-digital conversioninitial condition estimationchaotic systemstent mapmonitoring of photovoltaic systems
collection DOAJ
language English
format Article
sources DOAJ
author Philippa Hazell
Peter Mather
Andrew Longstaff
Simon Fletcher
spellingShingle Philippa Hazell
Peter Mather
Andrew Longstaff
Simon Fletcher
Digital System Performance Enhancement of a Tent Map-Based ADC for Monitoring Photovoltaic Systems
Electronics
data acquisition
analogue-to-digital conversion
initial condition estimation
chaotic systems
tent map
monitoring of photovoltaic systems
author_facet Philippa Hazell
Peter Mather
Andrew Longstaff
Simon Fletcher
author_sort Philippa Hazell
title Digital System Performance Enhancement of a Tent Map-Based ADC for Monitoring Photovoltaic Systems
title_short Digital System Performance Enhancement of a Tent Map-Based ADC for Monitoring Photovoltaic Systems
title_full Digital System Performance Enhancement of a Tent Map-Based ADC for Monitoring Photovoltaic Systems
title_fullStr Digital System Performance Enhancement of a Tent Map-Based ADC for Monitoring Photovoltaic Systems
title_full_unstemmed Digital System Performance Enhancement of a Tent Map-Based ADC for Monitoring Photovoltaic Systems
title_sort digital system performance enhancement of a tent map-based adc for monitoring photovoltaic systems
publisher MDPI AG
series Electronics
issn 2079-9292
publishDate 2020-09-01
description Efficient photovoltaic installations require control systems that detect small signal variations over large measurement ranges. High measurement accuracy requires data acquisition systems with high-resolution analogue-to-digital converters; however, high resolutions and operational speeds generally increase costs. Research has proven low-cost prototyping of non-linear chaotic Tent Map-based analogue-to-digital converters (which fold and amplify the input signal, emphasizing small signal variations) is feasible, but inherent non-ideal Tent Map gains reduce the output accuracy and restrict adoption within data acquisition systems. This paper demonstrates a novel compensation algorithm, developed as a digital electronic system, for non-ideal Tent Map gain, enabling high accuracy estimation of the analogue-to-digital converter analogue input signal. Approximation of the gain difference compensation values (reducing digital hardware requirements, enabling efficient real-time compensation), were also investigated via simulation. The algorithm improved the effective resolution of a 16, 20 and 24 Tent Map-stage analogue-to-digital converter model from an average of 5 to 15.5, 19.2, and 23 bits, respectively, over the Tent Map gain range of 1.9 to 1.99. The simulated digital compensation system for a seven Tent Map-stage analogue-to-digital converter enhanced the accuracy from 4 to 7 bits, confirming real-time compensation for non-ideal gain in Tent Map-based analogue-to-digital converters was achievable.
topic data acquisition
analogue-to-digital conversion
initial condition estimation
chaotic systems
tent map
monitoring of photovoltaic systems
url https://www.mdpi.com/2079-9292/9/9/1554
work_keys_str_mv AT philippahazell digitalsystemperformanceenhancementofatentmapbasedadcformonitoringphotovoltaicsystems
AT petermather digitalsystemperformanceenhancementofatentmapbasedadcformonitoringphotovoltaicsystems
AT andrewlongstaff digitalsystemperformanceenhancementofatentmapbasedadcformonitoringphotovoltaicsystems
AT simonfletcher digitalsystemperformanceenhancementofatentmapbasedadcformonitoringphotovoltaicsystems
_version_ 1724583571060948992