What question did this study set out to answer?

To develop a dynamic model for analyzing energy in power systems with periodic inputs.

February 16, 2026Open Access

Dynamic Energy Model (D-H-E): System with Periodic Storage, Transformation and Dissipation

Key Points

To develop a dynamic model for analyzing energy in power systems with periodic inputs.
Mathematical modeling utilizing differential equations
Analysis of energy components including active and passive energy
Examination of periodic solar energy inputs
Revealed dynamics of energy transformation and storage
Characterized the relationship between active energy and radiative loss
Established a framework for good conservation laws in energy systems

Abstract

This document presents a dynamic mathematical model for a power system with periodic input (solar), energy storage, transformation and radiative dissipation. The model is based on a system of differential equations that separate the energy into active and passive components, respecting the law of good conservation. System of the System: • Periodic input S (t) • Active energy Eₐ (t) • Sales energy Eₛ (t) • Transformation energy T (t) • Radiative loss L (t) The model system is the formalization of a cyclical energy structure with dynamic equilibrium and good analysis.

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