scholarly journals Energy current and computing

2018 ◽  
Vol 376 (2134) ◽  
pp. 20170449 ◽  
Author(s):  
Alex Yakovlev
Keyword(s):  
Digital Circuit ◽  
Electrical Networks ◽  
Mathematical Methods ◽  
Power Sources ◽  
Energy Current ◽  
Energy Flows ◽  
State Changes ◽  
Spatio Temporal ◽  
Computational Circuits ◽  
Physical Phenomena

In his seminal Electrical papers , Oliver Heaviside stated ‘We reverse this …' referring to the relationship between energy current and state changes in electrical networks. We explore implications of Heaviside's view upon the state changes in electronic circuits, effectively constituting computational processes. Our vision about energy-modulated computing that can be applicable for electronic systems with energy harvesting is introduced. Examples of analysis of computational circuits as loads on power sources are presented. We also draw inspiration from Heaviside's way of using and advancing mathematical methods from the needs of natural physical phenomena. A vivid example of Heavisidian approach to the use of mathematics is in employing series where they emerge out of the spatio-temporal view upon energy flows. Using series expressions, and types of natural discretization in space and time, we explain the processes of discharging a capacitive transmission line, first, through a constant resistor and, second, through a voltage controlled digital circuit. We show that event-based models, such as Petri nets with an explicit notion of causality inherent in them, can be instrumental in creating bridges between electromagnetics and computing. This article is part of the theme issue ‘Celebrating 125 years of Oliver Heaviside's ‘Electromagnetic Theory’’.

scholarly journals A New Approach for Approximate Solution of ADE: Physical-Based Modeling of Carriers in Doping Region

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 458
Author(s):  
Leobardo Hernandez-Gonzalez ◽  
Jazmin Ramirez-Hernandez ◽  
Oswaldo Ulises Juarez-Sandoval ◽  
Miguel Angel Olivares-Robles ◽  
Ramon Blanco Sanchez ◽  
...  
Keyword(s):  
Differential Equation ◽  
Approximate Solution ◽  
Analytic Solution ◽  
Order Differential Equation ◽  
Electric Circuit ◽  
New Approach ◽  
In Doping ◽  
Electric Behavior ◽  
Spatio Temporal ◽  
Physical Phenomena

The electric behavior in semiconductor devices is the result of the electric carriers’ injection and evacuation in the low doping region, N-. The carrier’s dynamic is determined by the ambipolar diffusion equation (ADE), which involves the main physical phenomena in the low doping region. The ADE does not have a direct analytic solution since it is a spatio-temporal second-order differential equation. The numerical solution is the most used, but is inadequate to be integrated into commercial electric circuit simulators. In this paper, an empiric approximation is proposed as the solution of the ADE. The proposed solution was validated using the final equations that were implemented in a simulator; the results were compared with the experimental results in each phase, obtaining a similarity in the current waveforms. Finally, an advantage of the proposed methodology is that the final expressions obtained can be easily implemented in commercial simulators.

A spatio-temporal processing Padé approach for visualizing harmonic distortion propagation on electrical networks

2022 ◽  
Vol 203 ◽  
pp. 107643
Author(s):  
Ramón J. Betancourt ◽  
Emilio Barocio ◽  
Carlos M. Rergis ◽  
Juan M González-López ◽  
Antonio Concha Sánchez
Keyword(s):  
Temporal Processing ◽  
Harmonic Distortion ◽  
Electrical Networks ◽  
Spatio Temporal

scholarly journals Spatio-temporal analysis of sediment yield with a physically based model for a data-scarce headwater in Konya Closed Basin, Turkey

2021 ◽  
Author(s):  
Cihangir Koycegiz ◽  
Meral Buyukyildiz ◽  
Serife Yurdagul Kumcu
Keyword(s):  
Sediment Yield ◽  
Assessment Tool ◽  
Swat Model ◽  
Temporal Analysis ◽  
Mathematical Methods ◽  
Closed Basin ◽  
Physically Based ◽  
Spatio Temporal ◽  
Sediment Data ◽  
Semi Empirical

Abstract There are many empirical, semi-empirical and mathematical methods that have been developed to estimate sediment yield by researchers. In the last decades, the advancement in computer technologies has increased the use of mathematical models as they can solve the system more rapidly and accurately. The Soil and Water Assessment Tool (SWAT) is one of the physically based hydrological models that is preferred to compute sediment yield. In this study, spatial and temporal analysis of sediment yield in the Çarşamba Stream located at the Konya Closed Basin has been investigated using the SWAT model. Streamflow and sediment data collected during the 2003–2015 time period have been used in the analysis. Consequently, the SWAT presented satisfactory results compared with R2 = 0.68, Nash–Sutcliffe Efficiency (NSE) = 0.68 in calibration and R2 = 0.76, NSE = 0.66 in validation. According to the model results, spatial asymmetry in terms of sediment yield was determined in the sub-basins of the study area.

scholarly journals КОМПЛЕКСНЕ ОЦІНЮВАННЯ ЕФЕКТИВНОСТІ ВСТАНОВЛЕННЯ ДОДАТКОВИХ ДЖЕРЕЛ РЕАКТИВНОЇ ПОТУЖНОСТІ У РОЗПОДІЛЬНИХ ЕЛЕКТРИЧНИХ МЕРЕЖАХ

2018 ◽  
Vol 124 (4) ◽  
pp. 103-111
Author(s):  
В. В. Кулик ◽  
О. Б. Бурикін ◽  
В. М. Пірняк
Keyword(s):  
Reactive Power ◽  
Comprehensive Evaluation ◽  
Efficiency Index ◽  
Electrical Network ◽  
Electrical Networks ◽  
Power Sources ◽  
Search Area ◽  
Electrical Grids ◽  
Monitoring Devices

To develop a method for assessing the effectiveness of reactive power sources (RPS) in electrical grids. The efficiency indicator was obtained as a result of combining the method of assessing the quality of the functioning of electrical grids on the basis of Markov networks and the method of interval analysis of energy losses. The efficiency index improves the formulation of the problem of optimizing the connection of the RPS to electrical networks. It improves the quality of this task. A new method of forming an indicator of the guaranteed effectiveness of the installing the RPS is obtained. It provides an unambiguous comprehensive evaluation of efficiency, takes into account the reliability of the electrical network, the quality of the voltage in its nodes, the accuracy of calculating the released and lost electricity. The method makes it possible to construct more efficient algorithms for optimizing the connection of RPS. They allow excluding from the search area optimal solutions "indefinite" fragments of the network without the help of an analyst. Estimation of the real effect is difficult or impossible for such fragments due to frequent failures or lack of monitoring devices. This correction of the search area improves the quality of the solution.

scholarly journals Aspects of applying theory of human ecology to design safe heat-protective clothing for the disabled people

2020 ◽  
Vol 175 ◽  
pp. 15004
Author(s):  
Liana Babenko ◽  
Mikhail Molev ◽  
Natalia Savelieva ◽  
Konstantin Mikhailov ◽  
Inna Mikhailova
Keyword(s):  
Human Ecology ◽  
Protective Clothing ◽  
System Analysis ◽  
Lower Limbs ◽  
Mathematical Methods ◽  
Motor Abilities ◽  
Human Habitat ◽  
The Disabled ◽  
Spatio Temporal ◽  
Field Formation

The article discusses current theoretical and practical issues of scientific research based on the interaction of environmental and technogenic factors in the development of safe heat-protective clothing models for people with restricted motor abilities. In particular, the main results of studying the interaction of elements and objects belonging to the dynamic system «human – habitat – heat-protective clothes» are presented. The purpose of the work was to justify the choice of structural clothing materials with the help of using obtained analytical information on thermal field formation of under clothing space area. The relevance of the described studies is due to the permanently increased demand for special heat-protective products for the disabled and insufficient knowledge of multi factorial environmental processes in spatio-temporal coordinates. The scientific novelty of the presented work consists in solving the problem based on the analysis of the interaction of human lower limbs and heat protective clothing by means of using the author’s mathematical model. To carry out the research, modern mathematical methods were used, including system analysis, synthesis of alternatives, modeling, generalization and results verification. The obtained materials develop the theory of applied areas of human ecology. The implementation of the above stated recommendations in the practice of heat protective clothing design contributes to a process of people’s socialization with restricted motorabilities.

Optical solitons of the paraxial wave dynamical model in kerr media and its applications in nonlinear optics

2020 ◽  
Vol 34 (09) ◽  
pp. 2050078
Author(s):  
Muhammad Arshad ◽  
Aly R. Seadawy ◽  
Dianchen Lu ◽  
Farman Ullah Khan
Keyword(s):  
Wave Model ◽  
Dimensionless Time ◽  
Kerr Media ◽  
Expansion Technique ◽  
The Media ◽  
Spatio Temporal ◽  
Mathematical Techniques ◽  
Parameter Values ◽  
Physical Phenomena ◽  
Algebraic Technique

The solitons and other solutions illustrate nondiffractive and nondispersive spatio-temporal localized packets of wave propagating in the media of optical Kerr. In this paper, solitons, elliptic function and other solutions of dimensionless time-dependent paraxial wave model are constructed via employing three mathematical techniques, namely, the improved simple equation technique, [Formula: see text]-expansion technique and modified extended direct algebraic technique. These wave solutions have key applications and help to understand the physical phenomena of this wave model. By giving appropriate parameter values, different types of solitons structures can be depicted graphically. Several precise solutions and computations have proved the straightforwardness, consistency and power of the these techniques.

Mathematical methods of studying physical phenomena

2013 ◽  
Vol 87 (3) ◽  
pp. 030201 ◽  
Author(s):  
Margarita A Man'ko
Keyword(s):  
Mathematical Methods ◽  
Physical Phenomena

scholarly journals A general mathematical method for predicting spatio-temporal correlations emerging from agent-based models

2020 ◽  
Vol 17 (171) ◽  
pp. 20200655
Author(s):  
Otso Ovaskainen ◽  
Panu Somervuo ◽  
Dmitri Finkelshtein
Keyword(s):  
General Class ◽  
Temporal Correlation ◽  
Agent Based Models ◽  
Mathematical Methods ◽  
Auxiliary Model ◽  
Agent Based ◽  
Temporal Correlations ◽  
Primary Model ◽  
Special Cases ◽  
Spatio Temporal

Agent-based models are used to study complex phenomena in many fields of science. While simulating agent-based models is often straightforward, predicting their behaviour mathematically has remained a key challenge. Recently developed mathematical methods allow the prediction of the emerging spatial patterns for a general class of agent-based models, whereas the prediction of spatio-temporal pattern has been thus far achieved only for special cases. We present a general and mathematically rigorous methodology that allows deriving the spatio-temporal correlation structure for a general class of individual-based models. To do so, we define an auxiliary model, in which each agent type of the primary model expands to three types, called the original, the past and the new agents. In this way, the auxiliary model keeps track of both the initial and current state of the primary model, and hence the spatio-temporal correlations of the primary model can be derived from the spatial correlations of the auxiliary model. We illustrate the agreement between analytical predictions and agent-based simulations using two example models from theoretical ecology. In particular, we show that the methodology is able to correctly predict the dynamical behaviour of a host–parasite model that shows spatially localized oscillations.

Distributed Navigation Strategy of Mobile Sensor Networks With Probabilistic Wireless Communication Links

2015 ◽  
Author(s):  
Aqeel Madhag ◽  
Jongeun Choi
Keyword(s):  
Sensor Networks ◽  
Wireless Communication ◽  
Prediction Error ◽  
Mobile Sensor Networks ◽  
Gaussian Random Fields ◽  
Communication Model ◽  
Mobile Sensor ◽  
Communication Links ◽  
Spatio Temporal ◽  
Physical Phenomena

Mobile sensor networks have been widely used to predict spatio-temporal physical phenomena for various scientific and engineering applications. To accommodate the realistic models of mobile sensor networks, we incorporated probabilistic wireless communication links based on packet reception ratio (PRR) with distributed navigation. We then derived models of mobile sensor networks that predict Gaussian random fields from noise-corrupted observations under probabilistic wireless communication links. For the given model with probabilistic wireless communication links, we derived the prediction error variances for further sampling locations. Moreover, we designed a distributed navigation that minimizes the network cost function formulated in terms of the derived prediction error variances. Further, we have shown that the solution of distributed navigation with the probabilistic wireless communication links for mobile sensor networks are uniformly ultimately bounded with respect to that of the distributed one with the R-disk communication model. According to Monte Carlo simulation results, agent trajectories under distributed navigation with the probabilistic wireless communication links are similar to those with the R-disk communication model, which confirming the theoretical analysis.

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