Guaranteed maximum power point tracking by scalar iterations with quadratic convergence rate

Iman Shames; Farhad Farokhi; Michael Cantoni

doi:10.1109/CDC.2016.7798692

Guaranteed maximum power point tracking by scalar iterations with quadratic convergence rate

Iman Shames, Farhad Farokhi, Michael Cantoni

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

In this paper the problem of maximum power point tracking (MPPT) is considered. We show that the problem has a unique solution and it can be reduced to the problem of finding the unique root of a single variable scalar function. We show that Newton's iterations can be applied to the problem of finding this root quadratically fast for an initialisation that is independent of the parameters of the MPPT problem. The results of applying the approach to 1,000,000 randomly-generated instances of the MPPT problem are presented and consistency with the analysis is observed.

Original language	English
Title of host publication	2016 IEEE 55th Conference on Decision and Control, CDC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2840-2845
Number of pages	6
ISBN (Electronic)	9781509018376
DOIs	https://doi.org/10.1109/CDC.2016.7798692
Publication status	Published - 27 Dec 2016
Externally published	Yes
Event	55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States Duration: 12 Dec 2016 → 14 Dec 2016

Publication series

Name	2016 IEEE 55th Conference on Decision and Control, CDC 2016

Conference

Conference	55th IEEE Conference on Decision and Control, CDC 2016
Country/Territory	United States
City	Las Vegas
Period	12/12/16 → 14/12/16

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10.1109/CDC.2016.7798692

Cite this

Shames, I., Farokhi, F., & Cantoni, M. (2016). Guaranteed maximum power point tracking by scalar iterations with quadratic convergence rate. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016 (pp. 2840-2845). Article 7798692 (2016 IEEE 55th Conference on Decision and Control, CDC 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2016.7798692

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title = "Guaranteed maximum power point tracking by scalar iterations with quadratic convergence rate",

abstract = "In this paper the problem of maximum power point tracking (MPPT) is considered. We show that the problem has a unique solution and it can be reduced to the problem of finding the unique root of a single variable scalar function. We show that Newton's iterations can be applied to the problem of finding this root quadratically fast for an initialisation that is independent of the parameters of the MPPT problem. The results of applying the approach to 1,000,000 randomly-generated instances of the MPPT problem are presented and consistency with the analysis is observed.",

author = "Iman Shames and Farhad Farokhi and Michael Cantoni",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 55th IEEE Conference on Decision and Control, CDC 2016 ; Conference date: 12-12-2016 Through 14-12-2016",

year = "2016",

month = dec,

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doi = "10.1109/CDC.2016.7798692",

language = "English",

series = "2016 IEEE 55th Conference on Decision and Control, CDC 2016",

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Shames, I, Farokhi, F & Cantoni, M 2016, Guaranteed maximum power point tracking by scalar iterations with quadratic convergence rate. in 2016 IEEE 55th Conference on Decision and Control, CDC 2016., 7798692, 2016 IEEE 55th Conference on Decision and Control, CDC 2016, Institute of Electrical and Electronics Engineers Inc., pp. 2840-2845, 55th IEEE Conference on Decision and Control, CDC 2016, Las Vegas, United States, 12/12/16. https://doi.org/10.1109/CDC.2016.7798692

Guaranteed maximum power point tracking by scalar iterations with quadratic convergence rate. / Shames, Iman; Farokhi, Farhad; Cantoni, Michael.
2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 2840-2845 7798692 (2016 IEEE 55th Conference on Decision and Control, CDC 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Cantoni, Michael

PY - 2016/12/27

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N2 - In this paper the problem of maximum power point tracking (MPPT) is considered. We show that the problem has a unique solution and it can be reduced to the problem of finding the unique root of a single variable scalar function. We show that Newton's iterations can be applied to the problem of finding this root quadratically fast for an initialisation that is independent of the parameters of the MPPT problem. The results of applying the approach to 1,000,000 randomly-generated instances of the MPPT problem are presented and consistency with the analysis is observed.

AB - In this paper the problem of maximum power point tracking (MPPT) is considered. We show that the problem has a unique solution and it can be reduced to the problem of finding the unique root of a single variable scalar function. We show that Newton's iterations can be applied to the problem of finding this root quadratically fast for an initialisation that is independent of the parameters of the MPPT problem. The results of applying the approach to 1,000,000 randomly-generated instances of the MPPT problem are presented and consistency with the analysis is observed.

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BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016

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T2 - 55th IEEE Conference on Decision and Control, CDC 2016

Y2 - 12 December 2016 through 14 December 2016

ER -

Guaranteed maximum power point tracking by scalar iterations with quadratic convergence rate

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