Complexity in Solar Irradiance From the Earth Radiation Budget Satellite

Khondekar, Mofazzal H.; Ghosh, Dipendra Nath; Ghosh, Koushik; Bhattacharjee, Anup Kumar

doi:10.1109/jsyst.2013.2265182

Cited by 15 publications

(6 citation statements)

References 31 publications

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“…The nature of complexity in time series is related to the way in which fluctuations change with time through broadband time scale [ 23 , 24 , 25 ]. Basically, the daily solar irradiation fluctuations for each station at La Réunion could be adequately characterized by descriptive statistics to assess a potential complexity footprint in the corresponding time series.…”

Section: Study Locations and Pyranometer Measurementsmentioning

confidence: 99%

“…As usual, complexity in a solar irradiation time series stands for randomness or disorder. In order to identify the underlying behaviour of these two concepts, there are various methods to study the behaviour of solar irradiation time series [ 16 , 23 , 26 ]. In the framework of Kolmogorov complexity, we have focused on the need to delineate the predictability of solar irradiation.…”

Section: Study Locations and Pyranometer Measurementsmentioning

confidence: 99%

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Spatial and Temporal Non-Linear Dynamics Analysis and Predictability of Solar Radiation Time Series for La Reunion Island (France)

Bessafi¹,

Mihailoviĉ

Malinović-Milićević

et al. 2018

Entropy

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Analysis of daily solar irradiation variability and predictability in space and time is important for energy resources planning, development, and management. The natural intermittency of solar irradiation is mainly triggered by atmospheric turbulent conditions, radiative transfer, optical properties of cloud and aerosol, moisture and atmospheric stability, orographic and thermal forcing, which introduce additional complexity into the phenomenological records. To address this question for daily solar irradiation data recorded during the period 2011–2015, at 32 stations measuring solar irradiance on La Reunion French tropical Indian Ocean Island, we use the tools of non-linear dynamics: the intermittency and chaos analysis, the largest Lyapunov exponent, Sample entropy, the Kolmogorov complexity and its derivatives (Kolmogorov complexity spectrum and its highest value), and spatial weighted Kolmogorov complexity combined with Hamming distance to assess complexity and corresponding predictability. Finally, we have clustered the Kolmogorov time (that quantifies the time span beyond which randomness significantly influences predictability) for daily cumulative solar irradiation for all stations. We show that under the record-breaking 2011–2012 La Nina event and preceding a very strong El-Nino 2015–2016 event, the predictability of daily incident solar energy over La Réunion is affected.

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Section: Study Locations and Pyranometer Measurementsmentioning

confidence: 99%

Section: Study Locations and Pyranometer Measurementsmentioning

confidence: 99%

Spatial and Temporal Non-Linear Dynamics Analysis and Predictability of Solar Radiation Time Series for La Reunion Island (France)

Bessafi¹,

Mihailoviĉ

Malinović-Milićević

et al. 2018

Entropy

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“…If the dynamical system is linear, the mapping locus bisects the plot diagonally; otherwise, it will be significantly different from the diagonal bisector line then. The deviation of the locus from the bisector line in terms of root mean square error (RMSE) value defines the degree of nonlinearity [39].…”

Section: Dvv Analysismentioning

confidence: 99%

Analysis of fractality and complexity of the planetary K-index

Chattopadhyay¹,

Chandra

Khondekar³

et al. 2021

SN Appl. Sci.

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The objective of this research is to explore the inherent complexities and multifractal properties of the underlying distributions in the daily Planetary K-index time series collected from NOAA Space Weather Prediction Center. In this article, non-stationary and nonlinear characteristics of the signal have been explored using Smoothed Pseudo Wigner–Ville Distribution and Delay Vector Variance algorithms, respectively, while Recurrence Plot, 0–1 test, Recurrence Quantification Analysis and correlation dimension analysis have been applied to confirm and measure the chaos in the signal under consideration. Multifractal detrending moving average has been used to evaluate the multifractality and also recognise the singularities of the signal. The result of these analyses validates the nonstationary and nonlinear characteristics of the Planetary K-index signal, while a significant presence of deterministic chaos in it has also been noticed. It has also been confirmed that the Planetary K-index exhibits multifractal nature with positive persistence. The long-range temporal association and also the large pdf are discovered to be the primary factors that contribute to the multifractal behaviour of the Kp-index.

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“…A quantitative analysis of the recurrence plots that measure the dynamical transitions in complex systems based on the recurrence point density, diagonal and vertical structures in the RP is known as recurrence quantification analysis (RQA) (Marwan et al 2002(Marwan et al , 2007Zbilut and Jr. Webber 1992;Jr. Webber and Zbilut 1994;Khondekar et al 2013). The parameters which are generally calculated from RP are recurrence rate (REC), determinism (DET), the longest diagonal line segment in the plot (LMAX) and entropy (ENTR).…”

Section: Recurrence Quantification Analysis (Rqa)mentioning

confidence: 99%

Complexity and periodicity of daily mean temperature and dew-point across India

et al. 2019

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The complexity of temperature and dew-point fluctuations across India are being investigated and analyzed with the help of recurrence plots (RP) and recurrence quantification analysis (RQA). The results firmly state that both data sets is non-linear, non-stationary and deterministic. Hilbert-Huang transform and an efficient peak detection algorithm (integral method) have been used to detect the underlying periodicity (above 95% CL) within these two signals. The nature of the complexity and the derived periods of these two weather variables show that there are significant impact of the local geographical topology and global atmospheric fluctuations on the overall pattern and fluctuation of the temperature and dew-point profile across India.

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Complexity in Solar Irradiance From the Earth Radiation Budget Satellite

Cited by 15 publications

References 31 publications

Spatial and Temporal Non-Linear Dynamics Analysis and Predictability of Solar Radiation Time Series for La Reunion Island (France)

Spatial and Temporal Non-Linear Dynamics Analysis and Predictability of Solar Radiation Time Series for La Reunion Island (France)

Analysis of fractality and complexity of the planetary K-index

Complexity and periodicity of daily mean temperature and dew-point across India

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