A maximum power point algorithm using the Lagrange method

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The maximum power transfer problem is posed as a constrained optimization problem and the well-known Lagrange method is employed to address it in case of some simple circuits including a photovoltaic cell. In graphical terms, the maximum power point (MPP) is the point of tangency between the isopower contours and the source curve. For the example of a photovoltaic cell a Seidel type iteration is also suggested. A brief mathematical treatment of its convergence and uniqueness of the solution is given along with numerical simulations performed using MATLAB. This new algorithm lends itself to the implementation of the Lagrange MPP tracker (LMPPT). To show its working, the Solarex module MSX-60 is chosen and a simple buck-boost converter circuit is simulated with PSIM software. The terminal current, voltage and power are displayed showing the accuracy and the reliability of the proposed method under varying load and irradiance conditions.

Original languageEnglish (US)
Pages (from-to)119-128
Number of pages10
JournalJournal of Power Sources
Volume234
DOIs
StatePublished - Mar 11 2013

Fingerprint

Photovoltaic cells
photovoltaic cells
Networks (circuits)
Constrained optimization
MATLAB
uniqueness
acceleration (physics)
irradiance
iteration
converters
Computer simulation
Electric potential
modules
computer programs
optimization
electric potential
curves
simulation
Maximum power point trackers

All Science Journal Classification (ASJC) codes

  • Renewable Energy, Sustainability and the Environment
  • Energy Engineering and Power Technology
  • Physical and Theoretical Chemistry
  • Electrical and Electronic Engineering

Cite this

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abstract = "The maximum power transfer problem is posed as a constrained optimization problem and the well-known Lagrange method is employed to address it in case of some simple circuits including a photovoltaic cell. In graphical terms, the maximum power point (MPP) is the point of tangency between the isopower contours and the source curve. For the example of a photovoltaic cell a Seidel type iteration is also suggested. A brief mathematical treatment of its convergence and uniqueness of the solution is given along with numerical simulations performed using MATLAB. This new algorithm lends itself to the implementation of the Lagrange MPP tracker (LMPPT). To show its working, the Solarex module MSX-60 is chosen and a simple buck-boost converter circuit is simulated with PSIM software. The terminal current, voltage and power are displayed showing the accuracy and the reliability of the proposed method under varying load and irradiance conditions.",
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A maximum power point algorithm using the Lagrange method. / Nelatury, Sudarshan R.

In: Journal of Power Sources, Vol. 234, 11.03.2013, p. 119-128.

Research output: Contribution to journalArticle

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