MUMBAI, India, Oct. 12 -- Intellectual Property India has published a patent application (202641118979 A) filed by Sreyas Institute Of Engineering And Technology on October 05, 2026, for Advanced Fractional-Order Mathematical Modelling And Control Theory For Chaotic Dynamics In Renewable Energy Systems.

Inventors include Vanaja Gosty; J Lakshmi Sravanthi; and D Madhavilatha.

The application for the patent was published on October 09, 2026, under issue no. 41/2026.

Abstract: ABSTRACT [0015] The present invention relates to an advanced fractional-order mathematical modelling framework combined with a specialized control theory approach designed to analyze, stabilize, and optimize chaotic dynamics arising in renewable energy systems. The invention introduces a multi-dimensional fractional- order dynamical model that captures the inherent memory effects, nonlinear interactions, and multi-timescale behaviors present in hybrid renewable configurations involving photovoltaic arrays, wind energy conversion units, and hybrid energy storage elements. By employing Caputo-type fractional derivatives of variable commensurate and incommensurate orders, the model accurately represents the long-range temporal dependencies that conventional integer-order models fail to capture. A novel adaptive fractional-order sliding-mode control scheme with online parameter adaptation is integrated to suppress chaotic oscillations, synchronize subsystem states, and maintain stable power delivery under fluctuating environmental conditions and load variations. The system further incorporates a real-time numerical solver based on a high-precision predictor-corrector algorithm optimized for embedded implementation. Experimental and simulation validations demonstrate significant reductions in chaotic attractor dimensions, faster convergence to equilibrium points, improved frequency and voltage regulation, and enhanced overall energy conversion efficiency compared with classical integer-order controllers. The invention is suitable for deployment in microgrids, standalone hybrid renewable installations, and grid-connected renewable plants where chaotic instabilities threaten reliability and power quality.

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