Modification of the adaptive algorithm for solving the twodimensional problem of charge distribution in photovoltaic converters with the existence of localized bands with large values of target function gradient

Keywords: photovoltaic energy converters

Abstract

The aim is to build a modified adaptive algorithm for
solving two-dimensional problems in modeling the charge
distribution of photovoltaic energy converters. In case of the
existence of localized bands with large values of a target function
gradient adaptive algorithm work will require significant
thickening of the grid to achieve a given accuracy of the calculation
in these areas, which will significantly increase the number of
grid nodes in neighboring areas because of restrictions on the
difference between the values of neighboring steps. However, if
the target function in areas adjacent to areas with large gradients
are pretty smooth and has low gradient values, the algorithm will
have to spend considerably more computing resources than
necessary for a given accuracy. The extra amount of time and
computing resources will be particularly great in a situation
where high gradient areas are localized in the calculation area
and occupy a small part of it.
For this case modification of an adaptive algorithm is
proposed. During the transition to a new time layer algorithm
determines the presence of localized areas with high gradients of
target function, using a numerical method for a transition to a new
time layer calculation in every localized area separately to reduce
the dimension of the global grid and reduce computing costs.
A modified version of the adaptive algorithm identifies
areas of high gradient define the boundary conditions for these
areas from the results, where the error is acceptable and leads
numerical method recursive launch separately for every selected
area, which allows significant thickening of the grid to calculate
with high accuracy, where necessary, but without affecting the
distribution of nodes in neighboring areas of the global grid. This
the modification allows optimizing the spend of time and
computational resources in numerical simulation of charge
transport in photovoltaic energy converters.

Author Biographies

V. Reztsov, Institute of Renewable Energy, NAS of Ukraine

reztsov.jpg

 

S. Matyakh, Institute of Renewable Energy, NAS of Ukraine

candidate of technical scienses

References

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// Renewable energetics. – 2010. – №1 (20). – P. 41 – 43.
4. Lukyanenko S., Matyakh S., Reztsov V., Yatsenko L. Тwodimensional
modeling of energy conversion process in renewable
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Abstract views: 46
PDF Downloads: 37
Published
2017-09-11
How to Cite
Reztsov, V., & Matyakh, S. (2017). Modification of the adaptive algorithm for solving the twodimensional problem of charge distribution in photovoltaic converters with the existence of localized bands with large values of target function gradient. Vidnovluvana Energetika, (3 (50), 18-21. Retrieved from https://ve.org.ua/index.php/journal/article/view/34