Parabolas, Systems of Equations and Optimization: a Physical Interpretation in Electrical Engineering
DOI:
https://doi.org/10.46842/ipn.cien.v29n2a10Keywords:
Flujos de potencia, optimizaci´ón sin restricciones, funciones de varias variables, ense˜ñanza de la ingenier´ía el´ectricaAbstract
This paper presents a study of power flow analysis in a simple two-node electrical system, showing how elementary mathematical tools can generate meaningful physical interpretations. The problem is formulated as a system of two nonlinear equations, exploring the existence and feasibility of voltage solutions at the consumption node under different demand levels. The analysis reveals how a simple parabola can act as an operating boundary, and an alternative formulation is proposed as an unconstrained optimization problem. Overall, the study offers useful insights for both teaching and practical applications in electrical engineering and other disciplines.
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Copyright (c) 2025 Carlos Antonio Becerril Gordillo (Autor/a)
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