Power Flow Calculation in Smart Distribution Network Based on Power Machine Learning Based on Fractional Differential Equations
Open Access
- 15 July 2022
- journal article
- research article
- Published by Walter de Gruyter GmbH in Applied Mathematics and Nonlinear Sciences
- Vol. 8 (1), 1037-1044
- https://doi.org/10.2478/amns.2022.2.0187
Abstract
Based on the theory of fractional differential equations, this paper proposes a simple recursive, iterative scheme for power flow calculation in pure radial networks. The paper determines the network hierarchy formed by the ADT stack through breadth theory. This helps us define the branch sequence of the forward and backward generation in the power flow calculation of the smart distribution network. We ensure that the Jacobian matrix remains unchanged in the smart distribution grid power flow calculation. The interval model is more practical and computationally simpler than the point model. The research results show that the power flow calculation method is efficient based on the fractional differential equation.Keywords
This publication has 12 references indexed in Scilit:
- Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion modelAlexandria Engineering Journal, 2020
- Application of linearised load flow method for droop‐controlled DCMGsIET Generation, Transmission & Distribution, 2020
- A Mathematical Model to describe the herd behaviour considering group defenseApplied Mathematics and Nonlinear Sciences, 2020
- Design of fractional swarming strategy for solution of optimal reactive power dispatchNeural Computing & Applications, 2019
- Functional application of Fourier sine transform in radiating gas flow with non-singular and non-local kernelJournal of the Brazilian Society of Mechanical Sciences and Engineering, 2019
- Chebyshev polynomials for generalized Couette flow of fractional Jeffrey nanofluid subjected to several thermochemical effectsEngineering with Computers, 2019
- Interdependence between transportation system and power distribution system: a comprehensive review on models and applicationsJournal of Modern Power Systems and Clean Energy, 2019
- Fractional Prabhakar Derivative in Diffusion Equation with Non-Static Stochastic ResettingPhysics, 2019
- Time-fractional variable-order telegraph equation involving operators with Mittag-Leffler kernelJournal of Electromagnetic Waves and Applications, 2018
- Proof without words: Periodic continued fractionsApplied Mathematics and Nonlinear Sciences, 2018