Work

Exploring Applications of Lagrange’s Equations in Technology: A Systematic Literature Review

Year: 2024

Type: review

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.

Source: Aceh International Journal of Science and Technology

DOI: 10.13170/aijst.13.2.39380

Authors: Fitria Siska Damayanti, RA Sania Noviana, Yora Inda Lestari, Hamdi Akhsan, Ismet Ismet

Institution: Sriwijaya University

Language: English

Topic: Dynamics and Control of Mechanical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

SDG: Industry, innovation and infrastructure

Open Access status: gold

Estimated APC paid: $65