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. 2024 Aug 2;10(16):e35390.
doi: 10.1016/j.heliyon.2024.e35390. eCollection 2024 Aug 30.

Impact of dust and temperature on photovoltaic panel performance: A model-based approach to determine optimal cleaning frequency

Yaxin Shen  1 , Mitra Fouladirad  2 , Antoine Grall  1
Affiliations

Impact of dust and temperature on photovoltaic panel performance: A model-based approach to determine optimal cleaning frequency

Yaxin Shen et al. Heliyon. .

Abstract

Enhancing the reliability of photovoltaic (PV) systems is of paramount importance, given their expanding role in sustainable energy production, carbon emissions reduction, and supporting industrial growth. However, PV panels commonly encounter issues that significantly impact their performance. Specifically, the accumulation of dust and the rise in internal temperature lead to a drop in energy production efficiency. The primary issue addressed in this paper is using mathematical modeling to determine the optimal cleaning frequency. This paper first focuses on stochastic modeling for dust accumulation and temperature changes in PV panels, considering varying environmental conditions and proposing a model-based approach to determine the optimal cleaning frequency. Dust accumulation is described using a Non-homogeneous compound Poisson process (NHCPP), while temperature evolution is modeled using Markov chains. Within this framework, we consider the impact of wind speed and rainfall on dust accumulation and temperature. These factors, treated as covariates, are modeled using a two-dimensional time-continuous Markov chain with a finite state space. A Condition-based cleaning policy is proposed and assessed based on the degradation model. Optimal preventive cleaning thresholds and cleaning frequency (periodic and non-periodic) are determined to minimize the long-term average maintenance cost. The gain achieved by non-periodic inspections compared to periodic inspections ranges from 3.83% to 9.37%. Numerical experiments demonstrate the performance of the proposed cleaning policy, highlighting its potential to improve PV system efficiency and reliability.

Keywords: Cleaning frequency; Degradation model; Markov chain; Non-homogeneous compound Poisson process; PV panel.

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Conflict of interest statement

The authors declare the following financial interests/personal relationships which may be considered as potential competing interests: Yaxin SHEN reports financial support was provided by 10.13039/501100004543China Scholarship Council. If there are other authors, they declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Figures

Figure 1
Figure 1
Efficiency reduction process due to dust: α = 6,βj = (0.1,0.2,0.3,0.4),μ = 2,m = 4.
Figure 2
Figure 2
Multivariate Markov chain model.
Figure 3
Figure 3
A trajectory of total degradation process with the covariates evolution.
Figure 4
Figure 4
Inspection evolution of the maintained system: Lc = 0.6;Lp = 0.5;A = 1.4,B = 2;⁎:inspection.
Algorithm 1
Algorithm 1
Pseudo-code.
Figure 5
Figure 5
Optimal expected cost evolution (Eq. (30)).
Figure 6
Figure 6
Optimal expected cost evolution (Eq. (31)).
Figure 7
Figure 7
Expected average cost as a function of Lp and τ (periodic inspection policy).
Figure C.8
Figure C.8
Comparison of PDF and histogram of the degradation increment between Δt = 0.8.
See this image and copyright information in PMC

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