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Noviana, RA Sania
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Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences

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Exploring Applications of Lagranges Equations in Technology: A Systematic Literature Review Damayanti, Fitria Siska; Noviana, RA Sania; Lestari, Yora Inda; Akhsan, Hamdi; Ismet, Ismet
Aceh International Journal of Science and Technology Vol 13, No 2 (2024): August 2024
Publisher : Graduate School of Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.13170/aijst.13.2.39380

Abstract

Lagrange's equation is a formula in analytical mechanics used to solve problems with physical system dynamics. It allows mathematical modeling to simplify complex mechanical problems by changing the coordinate system, thus providing a deeper understanding of motion. In this research, a literature study was conducted using the Systemic Literature Review (SLR) method from 30 data sources, 24 of which were indexed by Scopus. A total of 11 articles have been reviewed with a focus on the application of Lagrange's equation in various technologies. The review results show that Lagrange multipliers provide a powerful tool for optimizing energy flow within complex smart grids. The benefits extend beyond smart grids. Lagrange's equations are a powerful mathematical tool applicable to various engineering challenges that involve finding optimal solutions under constraints.
Co-Authors Damayanti, Fitria Siska Hamdi Akhsan Ismet Ismet, Ismet Lestari, Yora Inda