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  • Mathematical Model of a Nonlinear Power Transformer for Needs of Relay . . .
    In this work, a mathematical model of a three-phase nonlinear transformer is suggested The model enables simulating the transformer operation with allowance for its nonlinearity and covers needs of the relay protection Our model has been developed on the basis of a mathematical model with phase coordinates, where differential equations are composed by the Kirchhoff’s phase-voltage law
  • Mathematical Modeling of Cancer Progression - MDPI
    Cancer, a complex disease characterized by uncontrolled cell growth and metastasis, remains a formidable challenge to global health Mathematical modeling has emerged as a critical tool to elucidate the underlying biological mechanisms driving tumor initiation, progression, and treatment responses By integrating principles from biology, physics, and mathematics, mathematical oncology provides
  • Mathematical Modeling - MDPI
    This paper aims to develop and analyze a mathematical model that captures the interactions between palm trees, Rhynchophorus ferrugineus, and entomopathogenic nematodes as a means of integrated control We identify the equilibrium points of the system and perform a stability analysis to assess the system’s behavior
  • Simple Mathematical and Simulink Model of Stepper Motor - MDPI
    This paper presents a simple mathematical and Simulink model of a two-phase hybrid stepper motor, where ignoring the permeance space harmonics of the hybrid stepper motor is regarded as the main physical assumption in this article Moreover, the dq transformation method is adopted as the main mathematical approach for the derivation of the proposed model, where simple voltages, currents, and
  • A Mathematical Model for the Optimization of Renewable Energy . . . - MDPI
    The mathematical model of optimization is designed to merge renewable energy systems available in a given location, taking into account the advantages and limitations of each system Solar and wind energy are used according to daily availability and are stored over a short period of time Biomass gasifiers have continuous utility for a short
  • Mathematical Modeling the Performance of an Electric Vehicle . . .
    A mathematical model was created to study the power reserve of an electric vehicle, taking into account four driving cycles, in which the lengths of cycles and the forces acting on the electric vehicle are determined; the calculation of the forces of resistance to movement was carried out taking into account the efficiency of the electric motor
  • Mathematical Modeling of the State of the Battery of Cargo . . . - MDPI
    In this paper, a mathematical simulation model of an electric vehicle traction battery has been developed, in which the battery was studied during the dynamic modes of its charge and discharge for heavy electric vehicles in various driving conditions—the conditions of the urban cycle and movement outside the city The state of a lithium-ion battery is modeled based on operational factors
  • A Mathematical Modeling of the Reverse Osmosis Concentration . . . - MDPI
    A mathematical modeling of glucose–water separation through a reverse osmosis (RO) membrane was developed to research the membrane’s performance during the mass transfer process The model was developed by coupling the concentration–polarization (CP) model, which uses one-dimensional flow assumption, with the irreversible thermodynamic Spiegler–Kedem model A nonlinear parameter
  • Mathematical Model for the Generalized VRP Model - MDPI
    The Vehicle Routing Problem (VRP) is a highly investigated logistics problem VRP can model in-plant and out-plant material handling or a whole supply chain The first Vehicle Routing Problem article was published in 1959 by Dantzig and Ramser, and many varieties of VRP have appeared since then Transport systems are becoming more and more customized these days, so it is necessary to develop a
  • Sensitivity Analysis of Mathematical Models - MDPI
    The construction of a mathematical model of a complicated system is often associated with the evaluation of inputs’ (arguments, factors) influence on the output (response), the identification of important relationships between the variables used, and reduction of the model by decreasing the number of its inputs These tasks are related to the problems of Sensitivity Analysis of mathematical





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