New Application Center Additions
https://www.maplesoft.com/applications
en-us2021 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemMon, 01 Mar 2021 14:26:18 GMTMon, 01 Mar 2021 14:26:18 GMTThe latest content added to the Application Centerhttps://www.maplesoft.com/images/Application_center_hp.jpgNew Application Center Additions
https://www.maplesoft.com/applications
Induction Motor Analysis for Start-up Protection
https://www.maplesoft.com/applications/view.aspx?SID=154685&ref=Feed
Large currents are generated when induction motors are started. This is called the inrush current, and is much larger than the rated current even if it’s under the normal condition. On the other hand, the motor needs several levels of protection to guard against out-of-specification startup conditions by using the overcurrent relay or the impedance relay. Thus, the appropriate relay settings need to be determined by analyzing the transient trajectories and the impedance of the motor.
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This application shows how to analyze the transient behavior of a motor with impedance and torque characteristics, obtained from an equivalent circuit model of an induction motor. The application also demonstrates a protection scheme study based on these result of analysis.<img src="https://www.maplesoft.com/view.aspx?si=154685/Induction_motor.png" alt="Induction Motor Analysis for Start-up Protection" style="max-width: 25%;" align="left"/>Large currents are generated when induction motors are started. This is called the inrush current, and is much larger than the rated current even if it’s under the normal condition. On the other hand, the motor needs several levels of protection to guard against out-of-specification startup conditions by using the overcurrent relay or the impedance relay. Thus, the appropriate relay settings need to be determined by analyzing the transient trajectories and the impedance of the motor.
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This application shows how to analyze the transient behavior of a motor with impedance and torque characteristics, obtained from an equivalent circuit model of an induction motor. The application also demonstrates a protection scheme study based on these result of analysis.https://www.maplesoft.com/applications/view.aspx?SID=154685&ref=FeedMon, 01 Mar 2021 05:00:00 ZTakashi IwagayaTakashi IwagayaPower Swing Analysis for Out-Of-Step Protection
https://www.maplesoft.com/applications/view.aspx?SID=154684&ref=Feed
Power swings are disturbances in a power system, and are caused by caused by load changes, line switching, loss of generation, and other power faults. These can result in potentially dangerous spikes in current. Electrical power engineers need tools and methods to analyze power swings. This assists them in devising preventative measures that eliminate the potential for costly whole system failures.
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In this application, the transient state defined by swing equation of Two machine system, and the impedance behavior are analyzed to obtain the required information in order to determine the appropriate settings for Out-Of-Step protection.<img src="https://www.maplesoft.com/view.aspx?si=154684/PowerSwingAnalysis.png" alt="Power Swing Analysis for Out-Of-Step Protection" style="max-width: 25%;" align="left"/>Power swings are disturbances in a power system, and are caused by caused by load changes, line switching, loss of generation, and other power faults. These can result in potentially dangerous spikes in current. Electrical power engineers need tools and methods to analyze power swings. This assists them in devising preventative measures that eliminate the potential for costly whole system failures.
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In this application, the transient state defined by swing equation of Two machine system, and the impedance behavior are analyzed to obtain the required information in order to determine the appropriate settings for Out-Of-Step protection.https://www.maplesoft.com/applications/view.aspx?SID=154684&ref=FeedFri, 19 Feb 2021 05:00:00 ZTakashi IwagayaTakashi IwagayaTransmission Line Simulation via Numerical Inversion of Laplace Transforms
https://www.maplesoft.com/applications/view.aspx?SID=154674&ref=Feed
This application numerically inverts the Laplace transforms that describe the voltage and current in a transmission line.
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The Laplace transforms are based on the Telegrapher’s Equations, a pair of coupled partial differential equations.
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The results describe the transient variation of current and voltage at any point on the transmission line.<img src="https://www.maplesoft.com/view.aspx?si=154674/Transmission_Line.png" alt="Transmission Line Simulation via Numerical Inversion of Laplace Transforms" style="max-width: 25%;" align="left"/>This application numerically inverts the Laplace transforms that describe the voltage and current in a transmission line.
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The Laplace transforms are based on the Telegrapher’s Equations, a pair of coupled partial differential equations.
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The results describe the transient variation of current and voltage at any point on the transmission line.https://www.maplesoft.com/applications/view.aspx?SID=154674&ref=FeedWed, 17 Feb 2021 05:00:00 ZSamir KhanSamir KhanLoad Flow Analysis of a Five-Bus Power System
https://www.maplesoft.com/applications/view.aspx?SID=154675&ref=Feed
This application analyzes a five-bus power system, and calculates the voltages and real and reactive powers at each bus.
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Two approaches to numerically solving the nonlinear load flow equations are demonstrated
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<LI>The symbolic real and reactive load flow equations are generated, and solved with fsolve (a powerful numerical equation solver).
<LI>The system Jacobian is constructed, and solved with Newton-Raphson iteration.
</UL><img src="https://www.maplesoft.com/view.aspx?si=154675/Five_Bus_Power_System.png" alt="Load Flow Analysis of a Five-Bus Power System" style="max-width: 25%;" align="left"/>This application analyzes a five-bus power system, and calculates the voltages and real and reactive powers at each bus.
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Two approaches to numerically solving the nonlinear load flow equations are demonstrated
<UL>
<LI>The symbolic real and reactive load flow equations are generated, and solved with fsolve (a powerful numerical equation solver).
<LI>The system Jacobian is constructed, and solved with Newton-Raphson iteration.
</UL>https://www.maplesoft.com/applications/view.aspx?SID=154675&ref=FeedWed, 17 Feb 2021 05:00:00 ZSamir KhanSamir KhanCable Ampacity using the Nehers-McGrath Method
https://www.maplesoft.com/applications/view.aspx?SID=154677&ref=Feed
Heat is generated when current flows through a cable. The ampacity of a cable is the amount of current a cable can carry without exceeding its temperature rating. Accurately estimating ampacity is critical to minimizing the total lifetime cost of a cable installation.
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This application implements the Nehers-McGrath equations and cross-checks the results against those tabulated in the National Electrical Code (2017); the good agreement means that this worksheet can be the basis of more complex cable ampacity calculations.<img src="https://www.maplesoft.com/view.aspx?si=154677/Cable_Amapacity.png" alt="Cable Ampacity using the Nehers-McGrath Method" style="max-width: 25%;" align="left"/>Heat is generated when current flows through a cable. The ampacity of a cable is the amount of current a cable can carry without exceeding its temperature rating. Accurately estimating ampacity is critical to minimizing the total lifetime cost of a cable installation.
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This application implements the Nehers-McGrath equations and cross-checks the results against those tabulated in the National Electrical Code (2017); the good agreement means that this worksheet can be the basis of more complex cable ampacity calculations.https://www.maplesoft.com/applications/view.aspx?SID=154677&ref=FeedWed, 17 Feb 2021 05:00:00 ZSamir KhanSamir KhanPer Unit Analysis of a Three-Phase Power Distribution System
https://www.maplesoft.com/applications/view.aspx?SID=154679&ref=Feed
This application analyzes the power flows in a three-phase system on a per unit basis.
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Power system parameters (such as voltage, current and impedance) are often normalized to a base power and voltage before an analysis. This simplifies the analysis of the power flow in the system; for example, for a transformer, you can ignore turns ratios of transformers.<img src="https://www.maplesoft.com/view.aspx?si=154679/Per_Unit_Analysis_of_a_Power_Distribution_System.png" alt="Per Unit Analysis of a Three-Phase Power Distribution System" style="max-width: 25%;" align="left"/>This application analyzes the power flows in a three-phase system on a per unit basis.
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Power system parameters (such as voltage, current and impedance) are often normalized to a base power and voltage before an analysis. This simplifies the analysis of the power flow in the system; for example, for a transformer, you can ignore turns ratios of transformers.https://www.maplesoft.com/applications/view.aspx?SID=154679&ref=FeedWed, 17 Feb 2021 05:00:00 ZSamir KhanSamir KhanUnbalanced Three-Phase Wye-Connected Load
https://www.maplesoft.com/applications/view.aspx?SID=154681&ref=Feed
An unbalanced 3-phase Wye-connected load is connected to a balanced 3-phase four-wire source. The load impedances and line voltage are known.
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This application calculates the currents in the system, and the total power drawn by the load.<img src="https://www.maplesoft.com/view.aspx?si=154681/Three Phase Wye Connected Load2.png" alt="Unbalanced Three-Phase Wye-Connected Load" style="max-width: 25%;" align="left"/>An unbalanced 3-phase Wye-connected load is connected to a balanced 3-phase four-wire source. The load impedances and line voltage are known.
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This application calculates the currents in the system, and the total power drawn by the load.https://www.maplesoft.com/applications/view.aspx?SID=154681&ref=FeedWed, 17 Feb 2021 05:00:00 ZSamir KhanSamir KhanCross-Section of Metallic Steel Tape for Earthing of 110/30 kV Substation: Interactive Application
https://www.maplesoft.com/applications/view.aspx?SID=154682&ref=Feed
This interactive tool helps electrical power systems engineer calculate the cross-sectional area of metallic tape needed to adequately earth a substation.
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The equations and parameters are correct to EN 50522:2010 (Earthing of Power Installations Exceeding 1 kV A.C.)<img src="https://www.maplesoft.com/view.aspx?si=154682/Substation_Earthing_Interactive_Application.png" alt="Cross-Section of Metallic Steel Tape for Earthing of 110/30 kV Substation: Interactive Application" style="max-width: 25%;" align="left"/>This interactive tool helps electrical power systems engineer calculate the cross-sectional area of metallic tape needed to adequately earth a substation.
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The equations and parameters are correct to EN 50522:2010 (Earthing of Power Installations Exceeding 1 kV A.C.)https://www.maplesoft.com/applications/view.aspx?SID=154682&ref=FeedWed, 17 Feb 2021 05:00:00 ZSamir KhanSamir KhanCross-Section of Metallic Tape for Substation Earthing
https://www.maplesoft.com/applications/view.aspx?SID=154683&ref=Feed
This application calculates the cross-section of steel tape to earth a conductor for a 110/30 kV substation, correct to IEC 60287-3-1.<img src="https://www.maplesoft.com/view.aspx?si=154683/cross_section.png" alt="Cross-Section of Metallic Tape for Substation Earthing" style="max-width: 25%;" align="left"/>This application calculates the cross-section of steel tape to earth a conductor for a 110/30 kV substation, correct to IEC 60287-3-1.https://www.maplesoft.com/applications/view.aspx?SID=154683&ref=FeedWed, 17 Feb 2021 05:00:00 ZSamir KhanSamir KhanIn and Out of a Schwarzschild Black Hole
https://www.maplesoft.com/applications/view.aspx?SID=154673&ref=Feed
In classical general relativity, an astronaut can cross the event horizon of a black hole without noticing it, while an external observer would witness the astronaut approaching but never reaching the event horizon as time tends to infinity. We integrate the differential equations of motion to show the difference between proper and coordinate times for a particle free falling into a Schwarzschild black hole, and present the particle world line in Kruskal and Penrose diagrams.<img src="https://www.maplesoft.com/view.aspx?si=154673/penrosediagram.png" alt="In and Out of a Schwarzschild Black Hole" style="max-width: 25%;" align="left"/>In classical general relativity, an astronaut can cross the event horizon of a black hole without noticing it, while an external observer would witness the astronaut approaching but never reaching the event horizon as time tends to infinity. We integrate the differential equations of motion to show the difference between proper and coordinate times for a particle free falling into a Schwarzschild black hole, and present the particle world line in Kruskal and Penrose diagrams.https://www.maplesoft.com/applications/view.aspx?SID=154673&ref=FeedMon, 08 Feb 2021 05:00:00 ZDr. Frank WangDr. Frank WangFourier Transforms for Chemistry
https://www.maplesoft.com/applications/view.aspx?SID=154672&ref=Feed
This interactive electronic textbook, comprising an overview and six chapters, in the form of a worksheet for symbolic mathematics with Maple software presents an introduction to Fourier transformation and its applications in chemistry. After a concise outline of the principles of Fourier transformation and related topics, the treated applications include electron diffraction of a gaseous sample, xray diffraction of crystalline and powder samples, microwave spectra of a gaseous sample, mid-infrared and Raman spectra of a liquid sample and nuclear-magnetic-resonance spectra of liquid samples. In each application, simulations are generated to demonstrate the physical principles and practical applications to determine the molecular structure or structural aspects of exemplary substances.<img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Fourier Transforms for Chemistry" style="max-width: 25%;" align="left"/>This interactive electronic textbook, comprising an overview and six chapters, in the form of a worksheet for symbolic mathematics with Maple software presents an introduction to Fourier transformation and its applications in chemistry. After a concise outline of the principles of Fourier transformation and related topics, the treated applications include electron diffraction of a gaseous sample, xray diffraction of crystalline and powder samples, microwave spectra of a gaseous sample, mid-infrared and Raman spectra of a liquid sample and nuclear-magnetic-resonance spectra of liquid samples. In each application, simulations are generated to demonstrate the physical principles and practical applications to determine the molecular structure or structural aspects of exemplary substances.https://www.maplesoft.com/applications/view.aspx?SID=154672&ref=FeedThu, 04 Feb 2021 05:00:00 ZJohn OgilvieJohn OgilvieMaplet de sudoku (version 2)
https://www.maplesoft.com/applications/view.aspx?SID=154657&ref=Feed
Cette maplet de sudoku est une mise à jour de la maplet "sudoku2"
-possibilité de jouer,de générer,de résoudre les sudokus
-possibilité de sauvegarder en .txt
on peut ré-enregistrer à partir du bloc-note dans le format adéquate (.sdk pour la sauvegarde Vokware et .sdm pour celle isanaki ou peter stancel)
on peut ainsi exporter les grilles sur Android (sudokuwiki,Andoku3,Sudoku Peter Stancel,OpenSudoku,Sudoku Pro Classic) ou iOS (sudoktor).
-possibilité de sauvegarder en image .gif et en version sudoku avec couleurs.
-nouvelle fonction: possibilité d'importer des sudokus au format ligne,des fichiers .sdk et des fichiers collection .sdm<img src="https://www.maplesoft.com/view.aspx?si=154657/Captsud2b.JPG" alt="Maplet de sudoku (version 2)" style="max-width: 25%;" align="left"/>Cette maplet de sudoku est une mise à jour de la maplet "sudoku2"
-possibilité de jouer,de générer,de résoudre les sudokus
-possibilité de sauvegarder en .txt
on peut ré-enregistrer à partir du bloc-note dans le format adéquate (.sdk pour la sauvegarde Vokware et .sdm pour celle isanaki ou peter stancel)
on peut ainsi exporter les grilles sur Android (sudokuwiki,Andoku3,Sudoku Peter Stancel,OpenSudoku,Sudoku Pro Classic) ou iOS (sudoktor).
-possibilité de sauvegarder en image .gif et en version sudoku avec couleurs.
-nouvelle fonction: possibilité d'importer des sudokus au format ligne,des fichiers .sdk et des fichiers collection .sdmhttps://www.maplesoft.com/applications/view.aspx?SID=154657&ref=FeedTue, 02 Feb 2021 05:00:00 Zxavier cormierxavier cormierAntenna Arrays
https://www.maplesoft.com/applications/view.aspx?SID=154671&ref=Feed
This application calculates the far-field, electromagnetic radiation pattern for antenna arrays that repeat in the x, y and z directions, and includes several examples. This worksheet could also serve as the basis for developing tools to work with circular or triangular arrays.<img src="https://www.maplesoft.com/view.aspx?si=154671/arrays.png" alt="Antenna Arrays" style="max-width: 25%;" align="left"/>This application calculates the far-field, electromagnetic radiation pattern for antenna arrays that repeat in the x, y and z directions, and includes several examples. This worksheet could also serve as the basis for developing tools to work with circular or triangular arrays.https://www.maplesoft.com/applications/view.aspx?SID=154671&ref=FeedThu, 28 Jan 2021 05:00:00 ZSteve RoperSteve RoperRational Trigonometry
https://www.maplesoft.com/applications/view.aspx?SID=154670&ref=Feed
In this application, we explore the concepts and calculations of rational trigonometry, as introduced In 2005 by Norman Wildberger in his book “Divine Proportions: Rational Geometry for Universal Geometry”. He introduces spreads and quadrants instead of angles and lengths to describe triangles and more. With this concept, all tasks and proofs of Euclidean geometry can easily be carried out without sine and cosine functions and without introducing a differential calculus.<img src="https://www.maplesoft.com/view.aspx?si=154670/rational_trig.png" alt="Rational Trigonometry" style="max-width: 25%;" align="left"/>In this application, we explore the concepts and calculations of rational trigonometry, as introduced In 2005 by Norman Wildberger in his book “Divine Proportions: Rational Geometry for Universal Geometry”. He introduces spreads and quadrants instead of angles and lengths to describe triangles and more. With this concept, all tasks and proofs of Euclidean geometry can easily be carried out without sine and cosine functions and without introducing a differential calculus.https://www.maplesoft.com/applications/view.aspx?SID=154670&ref=FeedFri, 15 Jan 2021 05:00:00 ZProf. Thomas SchrammProf. Thomas SchrammDamped Forced Movement
https://www.maplesoft.com/applications/view.aspx?SID=154665&ref=Feed
In this application, a differential equation of the forced type is quickly solved. Just enter the initial conditions first and then the values of m, beta and kapa. Finally choose the F(t) that corresponds to your problem. Developed entirely in Maple for engineering students. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154665/mvforz.png" alt="Damped Forced Movement" style="max-width: 25%;" align="left"/>In this application, a differential equation of the forced type is quickly solved. Just enter the initial conditions first and then the values of m, beta and kapa. Finally choose the F(t) that corresponds to your problem. Developed entirely in Maple for engineering students. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154665&ref=FeedTue, 05 Jan 2021 05:00:00 ZLenin Araujo CastilloLenin Araujo Castillon-fold bifurcation on Mandelbrot set and complex logistic equation fractal
https://www.maplesoft.com/applications/view.aspx?SID=154661&ref=Feed
Analytic derivation of a basin of attractions for fixed point and cycles for Mandelbrot set and the complex logistic equation<img src="https://www.maplesoft.com/view.aspx?si=154661/3fold.png" alt="n-fold bifurcation on Mandelbrot set and complex logistic equation fractal" style="max-width: 25%;" align="left"/>Analytic derivation of a basin of attractions for fixed point and cycles for Mandelbrot set and the complex logistic equationhttps://www.maplesoft.com/applications/view.aspx?SID=154661&ref=FeedMon, 14 Dec 2020 05:00:00 ZLenka PřibylováLenka PřibylováNormal form for the Poincaré-Andronov-Hopf Bifurcation and the Neimark-Sacker Torus Bifurcation
https://www.maplesoft.com/applications/view.aspx?SID=154662&ref=Feed
This sheet implements a method to find a normal form of a dynamical system. The essential background can be found in chapter 19 in Stephen Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos.<img src="https://www.maplesoft.com/view.aspx?si=154662/normal_forms.png" alt="Normal form for the Poincaré-Andronov-Hopf Bifurcation and the Neimark-Sacker Torus Bifurcation" style="max-width: 25%;" align="left"/>This sheet implements a method to find a normal form of a dynamical system. The essential background can be found in chapter 19 in Stephen Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos.https://www.maplesoft.com/applications/view.aspx?SID=154662&ref=FeedFri, 11 Dec 2020 05:00:00 ZLenka PřibylováLenka PřibylováTransformations of phase portraits for linear systems
https://www.maplesoft.com/applications/view.aspx?SID=154663&ref=Feed
Animations of different transformations of vector fields for linear systems of differential equations<img src="https://www.maplesoft.com/view.aspx?si=154663/Phase_portraits_-_linear_systems.png" alt="Transformations of phase portraits for linear systems" style="max-width: 25%;" align="left"/>Animations of different transformations of vector fields for linear systems of differential equationshttps://www.maplesoft.com/applications/view.aspx?SID=154663&ref=FeedFri, 11 Dec 2020 05:00:00 ZLenka PřibylováLenka PřibylováBlue Sky Catastrophe and FOLD-HOPF Bifuraction in Gavrilov-Shilnikov System
https://www.maplesoft.com/applications/view.aspx?SID=154659&ref=Feed
Animation of trajectories near Blue Sky Catastrophe in Gavrilov-Shilnikov System depending on parameters<img src="https://www.maplesoft.com/view.aspx?si=154659/Bluesky.png" alt="Blue Sky Catastrophe and FOLD-HOPF Bifuraction in Gavrilov-Shilnikov System" style="max-width: 25%;" align="left"/>Animation of trajectories near Blue Sky Catastrophe in Gavrilov-Shilnikov System depending on parametershttps://www.maplesoft.com/applications/view.aspx?SID=154659&ref=FeedFri, 11 Dec 2020 05:00:00 ZLenka PřibylováLenka PřibylováJulia Set
https://www.maplesoft.com/applications/view.aspx?SID=154660&ref=Feed
Generates Julia sets from the unit circle using transformations in the complex plane.<img src="https://www.maplesoft.com/view.aspx?si=154660/Julia.png" alt="Julia Set" style="max-width: 25%;" align="left"/>Generates Julia sets from the unit circle using transformations in the complex plane.https://www.maplesoft.com/applications/view.aspx?SID=154660&ref=FeedFri, 11 Dec 2020 05:00:00 ZLenka PřibylováLenka Přibylová