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Full-Text Articles in Other Engineering

Design Of Control Logic And The Human-Machine Interface For A Demonstration Plant Growth Chamber Implemented On A Programmable Logic Controller, Rachael Koehler May 2021

Design Of Control Logic And The Human-Machine Interface For A Demonstration Plant Growth Chamber Implemented On A Programmable Logic Controller, Rachael Koehler

Biological and Agricultural Engineering Undergraduate Honors Theses

This honors thesis covers the planning, development, and implementation of system controls and human-machine interface (HMI) for a demonstration plant growth chamber. The work is a continuation of an ongoing project to be used as an educational and recruiting tool manifesting the skills acquired from the Biological and Agricultural Engineering Department at the University of Arkansas’ College of Engineering. This work includes emergency controls, overall design interface, and controls for both the aeration and lighting subsystems of the growth chamber. Overall design interface controls established included development of two user modes, Administrator and Visitor. The Administrator user will have full …


Project Blipper, Peter Jacobs, Preston Delaware, Ryan Foster Apr 2021

Project Blipper, Peter Jacobs, Preston Delaware, Ryan Foster

Senior Design Project For Engineers

This project was sponsored by Clorox to design and create an automatic bottle-unscrambling system for possible implementation at their bottling plant in Chile. The objective was to use a robotic arm to unscramble bottles from an incoming conveyor belt and place them upright on an outbound conveyor belt. Throughout the research, design, and testing of solutions for this project, several design alternatives were found for each discipline, and will be presented to Clorox so that they can make an informed decision for how and if they want to move forward with implementation of this project.

The project was split into …


Kennesaw State University And United Alloy Corporation Robotic Pick And Place Project, Kathryn Bharadwaj, Logan Spencer, Tharkun Hudlow Apr 2021

Kennesaw State University And United Alloy Corporation Robotic Pick And Place Project, Kathryn Bharadwaj, Logan Spencer, Tharkun Hudlow

Senior Design Project For Engineers

United Alloy Corporation (UAC), a company specializing in unique aluminum parts for aeronautics, needed a fix to their error prone, labor-intensive billet press operation. The process has a problem of adding the wrong size or wrong alloy billet to the induction oven, which results in a waste of raw materials. The billets range from ten to thirty-seven inches in length and weigh up to three hundred pounds. Currently, an operator uses a gantry crane to check and lift the billets from a rack onto the magazine of an induction oven. The magazine can hold up to three billets safely and …


Quantifying The Value Of Foam-Based Flexible Floating Solar Photovoltaic Systems, Koami Soulemane Hayibo Jan 2021

Quantifying The Value Of Foam-Based Flexible Floating Solar Photovoltaic Systems, Koami Soulemane Hayibo

Dissertations, Master's Theses and Master's Reports

Distributed generation with solar photovoltaic (PV) technology is economically competitive if net metered in the U.S. Yet there is evidence that net metering is misrepresenting the true value of distributed solar generation so that the value of solar (VOS) is becoming the preferred method for evaluating economics of grid-tied PV. VOS calculations are challenging and there is widespread disagreement in the literature on the methods and data needed. To overcome these limitations, this thesis reviews past VOS studies to develop a generalized model that considers realistic future avoided costs and liabilities. The approach used here is bottom-up modeling where the …


Solar Photovoltaic Performance Monitoring: A Bibliometric Review, Research Gaps And Opportunities, Javed Sayyad, Paresh Nasikkar Dec 2020

Solar Photovoltaic Performance Monitoring: A Bibliometric Review, Research Gaps And Opportunities, Javed Sayyad, Paresh Nasikkar

Library Philosophy and Practice (e-journal)

Electrical power generation has been revolutionized by growing demand and use of Renewable Energy (RE) sources such as Solar Photovoltaic (SPV) as the main electricity source in modern times. The main objective of this bibliometric analysis is to understand the scope of the literature available for SPV performance characterization. This detailed reviewed was performed on the documents related to SPV research considering all the subject categories from Scopus and Web of Science (WoS) databases. The patterns for the particular set of keywords were broke down with the recuperated outcomes from Scopus database in the language, publication type, year of publication, …


Fault-Tolerant Capability Of Star Connected Symmetrical Six-Phase Induction Machine With Single And Two Isolated Neutrals, Wan Noraishah Wan Abdul Munim Aug 2020

Fault-Tolerant Capability Of Star Connected Symmetrical Six-Phase Induction Machine With Single And Two Isolated Neutrals, Wan Noraishah Wan Abdul Munim

Student Works (2020-2029)

Traditionally, electrical machines have been designed to operate with single- or three phase power supplies. In the early stage of power electronics development, three-phase machine suffers problems such as high torque ripple due to low order harmonics during six-step switching and limited current handling capacity of the power switches. This has motivated the use of multiphase machines which is capable of mitigating the aforementioned issues. The revival of multiphase machine research is mainly motivated by the need for more reliable drive systems. The vector space decomposition (VSD) model is used for a healthy multiphase machine as the basis for control …


Engineering And Technology For The Better Good Of Society, Pit-Oer, Huixin Wu, Raymond Lam, Dimitrios Stroumbakis Aug 2020

Engineering And Technology For The Better Good Of Society, Pit-Oer, Huixin Wu, Raymond Lam, Dimitrios Stroumbakis

Open Educational Resources

Understanding the importance of New America's commitment to strengthening the outcomes of non-profits and the public sector. We at QCC's Engineering Technology (ET) Department are dedicated to contributing to the nationwide efforts underway by Universities to establish Public-Interest-in-Technology curriculums. Technology impacts our every day lives like never before and it is time to augment the technologists' and engineers' education with curriculum components to enhance their ability to serve the good of society by:

  • Teaching students to leverage 3D printing, Open Source Coding, Project Management and Engineering Ethics for the good of society.
  • Exposing ET students to put into practice the …


Simulation And Optimal Control Of Crude Oil Separation Process At Offshore Facilities To Improve Efficiency Of Oil And Condensate Recovery, Yee Kai Chin Jul 2020

Simulation And Optimal Control Of Crude Oil Separation Process At Offshore Facilities To Improve Efficiency Of Oil And Condensate Recovery, Yee Kai Chin

Student Works (2020-2029)

Crude oil separation process is the most crucial process in offshore production facilities in ensuring the well fluid is separated efficiently and persistently. Waxy crude or sluggish feed stream is the major disturbance that could cause operational issues and production loss due to process upset. The main objective of this research is to model offshore crude oil separation process and introduce state space control to optimize the control of total liquid and water level within the permissible range as well as to evaluate the effect of disturbances to the controls. This work presents two different modelling methods in developing three-phase …


Raysun's Infrared Raisin Dryer, Lucas Kensinger, Saraith Aispuro, Joe Vanacore Jun 2020

Raysun's Infrared Raisin Dryer, Lucas Kensinger, Saraith Aispuro, Joe Vanacore

General Engineering

The RaySuns senior project team was tasked with lowering the drying costs of raisins for River Ranch Raisins. In doing so, we explored several options for cutting costs: utilizing automation and exploring new drying technologies were our primary focus. We eventually planned a modular infrared heating mechanism which would be easy to automate in future projects. After manufacturing and testing an infrared heating mechanism, it was found that infrared drying could significantly cut costs versus the previous natural gas fired dryer tunnels while leaving room for automation. The infrared dryer was also shown to have the potential to create high-quality …


Tech Comm Eagle Eye-Tracking Control System, Gabiella Lail, Robert Shaw, Hunter Smatla, Matthew Gary Apr 2020

Tech Comm Eagle Eye-Tracking Control System, Gabiella Lail, Robert Shaw, Hunter Smatla, Matthew Gary

Discovery Day - Prescott

Mobile eye-tracking systems provide usability research support as well as access to a wide range of robotics and technical communication research opportunities. Optical tracking systems are often prohibitively expensive and do not provide the mobility or flexibility needed for a variety of research application possibilities. Our team proposes building a simple mobile eye-tracking system to be used in-house at ERAU for heat-mapping, robotics, control systems, and various technical communication applications in a structured research environment. The mobile eyetracking system will become part of a larger research and hands-on technical communication usability lab and research center. The research team intends to …


Millimetre-Wave Planar Bruce Array Antenna, Zeeshan Ahmed, Manh Ha Hoang, Patrick Mcevoy, Max Ammann Feb 2020

Millimetre-Wave Planar Bruce Array Antenna, Zeeshan Ahmed, Manh Ha Hoang, Patrick Mcevoy, Max Ammann

Conference papers

A tri-band mm-wave planar Bruce array antenna for fifth generation communications (5G) is presented. The 16-element planar Bruce array antenna is simulated and fabricated on Rogers RT/Duroid 5880 substrate with thickness of 0.254 mm. For a compact and simple structure, the antenna has a highly directional fan-beam radiation pattern at broadside and peak realized gain of 14.0 dBi.


Dual-Axis Solar Tracker, Bryan Kennedy Jan 2020

Dual-Axis Solar Tracker, Bryan Kennedy

All Undergraduate Projects

Renewable energies, and fuels that are not fossil fuel-based, are one of the prolific topics of debate in modern society. With climate change now becoming a primary focus for scientists and innovators of today, one of the areas for the largest amount of potential and growth is that of the capturing and utilization of Solar Energy. This method involves using a mechanical system to track the progression of the sun as it traverses the sky throughout the day. A dual-axis solar tracker such as the one designed and built for this project, can follow the sun both azimuthally and in …


Estimation Of Atmospheric Conditions Over A Long Horizontal Path Using Multi-Frame Blind Deconvolution (Mfbd) Techniques In Comparison With Delayed Tilt Anisoplanatism (Delta) Software, Hannah Stoll Jan 2020

Estimation Of Atmospheric Conditions Over A Long Horizontal Path Using Multi-Frame Blind Deconvolution (Mfbd) Techniques In Comparison With Delayed Tilt Anisoplanatism (Delta) Software, Hannah Stoll

Dissertations, Master's Theses and Master's Reports

The potential to track and view objects in space from the ground with greater near real time knowledge of the intervening turbulence would be a revolutionary capability. The objective of this thesis is to cross-validate two separate methods used to estimate the Fried parameter. This verification is a step toward a commercial grade product that would make real-time estimates of the turbulence strength along an optical path from a ground-based observatory to a satellite in orbit around the Earth. Michigan Technological University has developed a multi-frame blind deconvolution (MFBD) algorithm used to estimate r0 and it was tested against MZA’s …


Integrated Chirped-Grating Spectrometer-On-A-Chip, Shima Nezhadbadeh Nov 2019

Integrated Chirped-Grating Spectrometer-On-A-Chip, Shima Nezhadbadeh

Optical Science and Engineering ETDs

In this dissertation we demonstrate a new structure based on waveguide coupling atop a silicon wafer using a chirped grating to provide the dispersion that leads to a high-resolution, compact, fully integrable and CMOS-compatible spectrometer. Light is both analyzed and detected in a single, completely monolithic component which enables realizing a high-resolution portable spectrometer with an extremely compact footprint. The structure is comprised of a SiO2/Si3N4/SiO2 waveguide on top of a silicon wafer. Grating regions are fabricated on the top cladding of the waveguide. The input light is incident on a chirped grating …


Using Bluetooth Low Energy Devices To Monitor Visitor Activity In Remote Amenity Spaces, Ahlam Al Anbouri, David Powell, Damon Berry, John Mcgrory, Niall Holmes, Lorraine D'Arcy Sep 2019

Using Bluetooth Low Energy Devices To Monitor Visitor Activity In Remote Amenity Spaces, Ahlam Al Anbouri, David Powell, Damon Berry, John Mcgrory, Niall Holmes, Lorraine D'Arcy

Conference Papers

Tracking of pedestrian behaviour, particularly route selection and temporal behaviours, can be difficult to undertake. This is especially true of studies at a community or campus level where the anonymity of pedestrians can be difficult to protect. The introduction of the EU’s General Data Protection Regulations 2016 (GDPR) has increased the complexity of this challenge. Advances in Bluetooth Low Energy (BLE) technology in recent years have increased the potential to monitor human behaviour by tracking and triangulating pedestrians. This paper describes an experiment undertaken along The Great South Wall at the Port of Dublin, which is considered a leading amenity …


A Harmless Wireless Quantum Alternative To Cell Phones Based On Quantum Noise, Florentin Smarandache, Robert Neil Boyd, Victor Christianto Sep 2019

A Harmless Wireless Quantum Alternative To Cell Phones Based On Quantum Noise, Florentin Smarandache, Robert Neil Boyd, Victor Christianto

Branch Mathematics and Statistics Faculty and Staff Publications

In the meantime we know that 4G and 5G technologies cause many harms to human health. Therefore, here we submit a harmless wireless quantum alternative to cell phones. It is our hope that this alternative


(Poster) Internal Restoration And Modernization Of A 1948 Wwii Era Jukebox, Miles Furr, Cristiana Olarinre, Joel Carpenter, Elijah Knox, George Ricco, Paul Talaga, Suranga Dharmarathne Mar 2019

(Poster) Internal Restoration And Modernization Of A 1948 Wwii Era Jukebox, Miles Furr, Cristiana Olarinre, Joel Carpenter, Elijah Knox, George Ricco, Paul Talaga, Suranga Dharmarathne

ASEE IL-IN Section Conference

Using Six Sigma guidelines under the sponsorship of The University of Indianapolis in cooperation with the client, Brugh Industrial Engineering, this project is to modernize the functionality and interface of a Rockola Model 1428 Jukebox while maintaining its vintage appeal. The process of modernization includes meeting today's industrial safety standards, incorporating ethernet protocol, and utilizing a programmable logic controller, PLC. The jukebox is a showcase of current automation technology. Lighting has been upgraded from fluorescent and incandescent bulbs to addressable nano pixel LEDs. The amplifier, coin system, and record selection system were revitalized to OEM operation standards. All switches within …


Mechanical Response Of He- Implanted Amorphous Sioc/ Crystalline Fe Nanolaminates, A. Zare, Q. Su, J. Gigax, T. A. Harriman, M. Nastasi, L. Shao, D. A. Lucca Jan 2019

Mechanical Response Of He- Implanted Amorphous Sioc/ Crystalline Fe Nanolaminates, A. Zare, Q. Su, J. Gigax, T. A. Harriman, M. Nastasi, L. Shao, D. A. Lucca

Nebraska Center for Energy Sciences Research: Publications

This study investigates the microstructural evolution and mechanical response of sputter-deposited amorphous silicon oxycarbide (SiOC)/crystalline Fe nanolaminates, a single layer SiOC film, and a single layer Fe film subjected to ion implantation at room temperature to obtain a maximum He concentration of 5 at. %. X-ray diffraction and transmission electron microscopy indicated no evidence of implantation-induced phase transformation or layer breakdown in the nanolaminates. Implantation resulted in the formation of He bubbles and an increase in the average size of the Fe grains in the individual Fe layers of the nanolaminates and the single layer Fe film, but the bubble …


Energy Efficiency Evaluation Of Blower Heater Non-Purge Compressed Air Dryers, Alexandra M. Botts Jan 2019

Energy Efficiency Evaluation Of Blower Heater Non-Purge Compressed Air Dryers, Alexandra M. Botts

Graduate Theses, Dissertations, and Problem Reports (ETD)

There are several compressed air dryers available for industrial use including, refrigerant, desiccant, and membrane. This research focuses on twin tower regenerative closed loop desiccant dryers, specifically: blower heater non-purge (BHNP) with and without cooling water pumps, Compressed-air Heater Purge (CHP), Blower Heater Purge (BHP), and Pressure Swing Heaterless (PSH). These styles of dryers are used mainly in industries that require extremely dry air such as, food manufacturing, medical air, or sensitive technology manufacturers. The research was conducted by collecting and analyzing real time current draw data on air compressors and associated dryers at eight different facilities (13 compressor systems) …


Effective Magnetic And Electric Response Of Composite Materials, Mona Hassan Alsaleh Nov 2018

Effective Magnetic And Electric Response Of Composite Materials, Mona Hassan Alsaleh

Doctoral Dissertations

Metamaterials (MMs) are nanocomposite materials consisting of metal-dielectric resonators much smaller in size than the wavelength of the incident light. Common examples of metamaterials are based on split ring resonators (SRRs), parallel wires or strips and fishnet structures. These types of materials are designed and fabricated in order to provide unique optical responses to the incident electromagnetic radiation that are not available in naturally existing materials. The MMs can exhibit unusual properties such as strong magnetism at terahertz (THz) and optical frequencies. Additionally, negative index materials (NIMs) can provide negative index of refraction which can be used in many applications …


Applications Of Complex Network Analysis In Electric Power Systems, Mahmoud Saleh, Yusef Esa, Ahmed Mohamed May 2018

Applications Of Complex Network Analysis In Electric Power Systems, Mahmoud Saleh, Yusef Esa, Ahmed Mohamed

Publications and Research

This paper provides a review of the research conducted on complex network analysis (CNA) in electric power systems. Moreover, a new approach is presented to find optimal locations for microgrids (MGs) in electric distribution systems (EDS) utilizing complex network analysis. The optimal placement in this paper points to the location that will result in enhanced grid resilience, reduced power losses and line loading, better voltage stability, and a supply to critical loads during a blackout. The criteria used to point out the optimal placement of the MGs were predicated on the centrality analysis selected from the complex network theory, the …


The Eco-Smart Can V2.0, Darack B. Nanto Apr 2018

The Eco-Smart Can V2.0, Darack B. Nanto

Appalachian Student Research Forum

I noticed that the workers had the same itinerary when emptying trashcans, meanwhile trashcans needed urgently to be emptied. Traditionally, ETSU maintenance operate on daily routes to pick trash on designated time, regardless the level of the containers. This leads to overflown trashcan in busy areas or during rush hours in certain areas. This overflown trashcan result in an unclean environment for the community and an unpleasant look of our beautiful campus. The time, resources and labor invested in collecting the trash could be saved. Therefore, I decided to use the Internet of Things (IoT) to create a device that …


Influencing Effective Electrical Distribution Modernization Through Advanced Metering, Jared R. Erickson Mar 2018

Influencing Effective Electrical Distribution Modernization Through Advanced Metering, Jared R. Erickson

Theses and Dissertations

In 2013, the Department of Defense (DoD) required its services to implement advanced metering for the purpose of reducing energy usage (Department of Defense, 2013). Additionally, the DoD has aimed to improve its ability to assure a continuous energy supply to all of its installations. This study investigated processes for applying advanced meters on Air Force bases to increase energy assurance. This study also identified strategies for using advanced meters to influence infrastructure funding. This was accomplished through the use of extensive advanced meter data. The data was analyzed for outages and a procedure was created to locate outages in …


Deep Gaze Velocity Analysis During Mammographic Reading For Biometric Identification Of Radiologists, Hong-Jun Yoon, Folami Alamudun, Kathy Hudson, Garnetta Morin-Ducote, Georgia Tourassi Jan 2018

Deep Gaze Velocity Analysis During Mammographic Reading For Biometric Identification Of Radiologists, Hong-Jun Yoon, Folami Alamudun, Kathy Hudson, Garnetta Morin-Ducote, Georgia Tourassi

Journal of Human Performance in Extreme Environments

Several studies have confirmed that the gaze velocity of the human eye can be utilized as a behavioral biometric or personalized biomarker. In this study, we leverage the local feature representation capacity of convolutional neural networks (CNNs) for eye gaze velocity analysis as the basis for biometric identification of radiologists performing breast cancer screening. Using gaze data collected from 10 radiologists reading 100 mammograms of various diagnoses, we compared the performance of a CNN-based classification algorithm with two deep learning classifiers, deep neural network and deep belief network, and a previously presented hidden Markov model classifier. The study showed that …


Rapid And Damage-Free Outgassing Of Implanted Helium From Amorphous Silicon Oxycarbide, Qing Su, Hepeng Ding, Lloyd Price, Lin Shao, Jonathan A. Hinks, Graeme Greaves, Stephen E. Donnelly, Michael J. Demkowicz, Michael Nastasi Jan 2018

Rapid And Damage-Free Outgassing Of Implanted Helium From Amorphous Silicon Oxycarbide, Qing Su, Hepeng Ding, Lloyd Price, Lin Shao, Jonathan A. Hinks, Graeme Greaves, Stephen E. Donnelly, Michael J. Demkowicz, Michael Nastasi

Nebraska Center for Energy Sciences Research: Publications

Damage caused by implanted helium (He) is a major concern for material performance in future nuclear reactors. We use a combination of experiments and modeling to demonstrate that amorphous silicon oxycarbide (SiOC) is immune to He-induced damage. By contrast with other solids, where implanted He becomes immobilized in nanometer-scale precipitates, He in SiOC remains in solution and outgasses from the material via atomic-scale diffusion without damaging its free surfaces. Furthermore, the behavior of He in SiOC is not sensitive to the exact concentration of carbon and hydrogen in this material, indicating that the composition of SiOC may be tuned to …


Fundamentals Of Neutrosophic Logic And Sets And Their Role In Artificial Intelligence (Fundamentos De La Lógica Y Los Conjuntos Neutrosóficos Y Su Papel En La Inteligencia Artificial ), Florentin Smarandache, Maykel Leyva-Vazquez Jan 2018

Fundamentals Of Neutrosophic Logic And Sets And Their Role In Artificial Intelligence (Fundamentos De La Lógica Y Los Conjuntos Neutrosóficos Y Su Papel En La Inteligencia Artificial ), Florentin Smarandache, Maykel Leyva-Vazquez

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophy is a new branch of philosophy which studies the origin, nature and scope of neutralities. This has formed the basis for a series of mathematical theories that generalize the classical and fuzzy theories such as the neutrosophic sets and the neutrosophic logic. In the paper, the fundamental concepts related to neutrosophy and its antecedents are presented. Additionally, fundamental concepts of artificial intelligence will be defined and how neutrosophy has come to strengthen this discipline.


Fault Classification And Location Identification On Electrical Transmission Network Based On Machine Learning Methods, Vidya Venkatesh Jan 2018

Fault Classification And Location Identification On Electrical Transmission Network Based On Machine Learning Methods, Vidya Venkatesh

Theses and Dissertations

Power transmission network is the most important link in the country’s energy system as they carry large amounts of power at high voltages from generators to substations. Modern power system is a complex network and requires high-speed, precise, and reliable protective system. Faults in power system are unavoidable and overhead transmission line faults are generally higher compare to other major components. They not only affect the reliability of the system but also cause widespread impact on the end users. Additionally, the complexity of protecting transmission line configurations increases with as the configurations get more complex. Therefore, prediction of faults (type …


Multi-Target Extension For Beacon Foraging Methods, Christopher Sanford, Ziong Jiao, Jae Oh Nov 2017

Multi-Target Extension For Beacon Foraging Methods, Christopher Sanford, Ziong Jiao, Jae Oh

Electrical Engineering and Computer Science - All Scholarship

Robotic foraging is a complex problem that encompasses both the problem of exploring an area and retrieval of targets. To solve this, biologically inspired algorithms have been proposed that handle the scenario when only one target exists, but requires extension to multiple targets. In both scenarios there exists problems of robot allocation and congestion, and we analyze ways of optimizing both allocation and minimizing congestion for our algorithms. We demonstrate the results through parameterized metrics and compare the improvements in each scenario.

This is a technical report on artificial intelligence, 2017, written by Sanford, Jiao, and Oh.


Hardware Based Testing Of Communication Based Control For Dc Microgrid, Mahmoud Saleh, Yusef Esa, Ahmed Mohamed Nov 2017

Hardware Based Testing Of Communication Based Control For Dc Microgrid, Mahmoud Saleh, Yusef Esa, Ahmed Mohamed

Publications and Research

This paper further describes our work presented in Industry Application Society 2016 Conference, with more details related to the control and operation of the microgrid. The DC microgrid facility was custom designed and implemented at CCNY with minimal off-the-shelf components to enable flexibility and reconfiguration capability. The design steps, requirements, and experimental results of the developed testbed were discussed. As a case study, a central controller for energy management algorithm was developed and tested under several operational scenarios. The experimental results verify the applicability of the developed testbed for validating DC microgrid controllers.


Quantitative Analysis Of Regenerative Energy In Electric Rail Traction Systems, Mahmoud Saleh, Oindrilla Dutta, Yusef Esa, Ahmed Mohamed Oct 2017

Quantitative Analysis Of Regenerative Energy In Electric Rail Traction Systems, Mahmoud Saleh, Oindrilla Dutta, Yusef Esa, Ahmed Mohamed

Publications and Research

This paper aims at determining the influential factors affecting regenerative braking energy in DC rail transit systems. This has been achieved by quantitatively evaluating the dependence of regenerative energy on various parameters, such as vehicle dynamics, train scheduling, ground inclination and efficiency of the electrical devices. The recuperated power and energy have been presented by a mathematical model, comprising of a set of empirical forms, which allows for thorough analysis. A detailed simulation model of a typical DC-traction system has been developed to validate the developed empirical forms. The results verified the validity of the proposed mathematical model, and demonstrated …