Electrical: New Applications
http://www.maplesoft.com/applications/category.aspx?cid=194
en-us2017 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemFri, 20 Oct 2017 08:59:48 GMTFri, 20 Oct 2017 08:59:48 GMTNew applications in the Electrical categoryhttp://www.mapleprimes.com/images/mapleapps.gifElectrical: New Applications
http://www.maplesoft.com/applications/category.aspx?cid=194
Polarization of Dielectric Sphere .....
https://www.maplesoft.com/applications/view.aspx?SID=154296&ref=Feed
In this worksheet, we investigate the polarization of a dielectric sphere (dot) with a relative permittivitty "epsilon[Dot]" embedded in a dielectric matrix with a relative permittivitty "epsilon[Matrix]" and submitted to an uniform electrostatic field F oriented in z-axis direction. It's a fondamental and popular problem present in most of electromagnetism textbooks. First of all, we express Poisson equation in appropriate coordinates system:
"Delta V(r,theta,phi) = 0". We proceed to a full separation of variables and derive general expression of scalar electrostatic potential V(r,theta,phi). Then we particularize to a dielectric sphere surrounded by a dielectric matrix and give expressions of electrostatic potential V(r,theta) in the meridian plane (x0z) inside and outside the sphere by taking into account:
i) invariance property of the system under rotation around z-axis,
ii) choice of the plane z=0 as a reference of scalar electrostatic potential,
iii) regularity of V(r,theta) at the origine and very far from the sphere,
iv) continuity condition of scalar electrostatic potential V(r,theta) at the sphere surface,
v) continuity condition of normal components of electric displacement field D at the sphere surface.
The obtained expressions of V(r,theta) inside and outside the sphere allows as to derive expressions of electrostatic field F, electric displacement field D and polarization field P inside and outside dielectric dot in spherical coordinates as well as in cartesian rectangular coordinates. The paper is a proof of Maple algebraic and graphical capabilities in tackling the resolution of Poisson equation as a second order partial differential equation and also in displaying scalar electrostatic potential contourplot, electrostatic field lines as well as fieldplots of F, D and P inside and outside dielectric sphere.<img src="/view.aspx?si=154296/fieldplot.PNG" alt="Polarization of Dielectric Sphere ....." align="left"/>In this worksheet, we investigate the polarization of a dielectric sphere (dot) with a relative permittivitty "epsilon[Dot]" embedded in a dielectric matrix with a relative permittivitty "epsilon[Matrix]" and submitted to an uniform electrostatic field F oriented in z-axis direction. It's a fondamental and popular problem present in most of electromagnetism textbooks. First of all, we express Poisson equation in appropriate coordinates system:
"Delta V(r,theta,phi) = 0". We proceed to a full separation of variables and derive general expression of scalar electrostatic potential V(r,theta,phi). Then we particularize to a dielectric sphere surrounded by a dielectric matrix and give expressions of electrostatic potential V(r,theta) in the meridian plane (x0z) inside and outside the sphere by taking into account:
i) invariance property of the system under rotation around z-axis,
ii) choice of the plane z=0 as a reference of scalar electrostatic potential,
iii) regularity of V(r,theta) at the origine and very far from the sphere,
iv) continuity condition of scalar electrostatic potential V(r,theta) at the sphere surface,
v) continuity condition of normal components of electric displacement field D at the sphere surface.
The obtained expressions of V(r,theta) inside and outside the sphere allows as to derive expressions of electrostatic field F, electric displacement field D and polarization field P inside and outside dielectric dot in spherical coordinates as well as in cartesian rectangular coordinates. The paper is a proof of Maple algebraic and graphical capabilities in tackling the resolution of Poisson equation as a second order partial differential equation and also in displaying scalar electrostatic potential contourplot, electrostatic field lines as well as fieldplots of F, D and P inside and outside dielectric sphere.154296Mon, 18 Sep 2017 04:00:00 ZE. H. EL HAROUNY, A. IBRAL, S. NAKRA MOHAJER and J. EL KHAMKHAMIE. H. EL HAROUNY, A. IBRAL, S. NAKRA MOHAJER and J. EL KHAMKHAMIParameter Estimation for Photovoltaic Diodes
https://www.maplesoft.com/applications/view.aspx?SID=154261&ref=Feed
The behavior of a photovoltaic diode is described by an implicit equation that cannot normally be rearranged using standard matheamtical functions. However, Maple offers many specialized mathematical functions that assist in manipulating implicit equations.
<BR><BR>
This application
<UL>
<LI> will rearrange the photovoltaic diode equation to give the current in terms of the LambertW equation
<LI>find the best-fit parameters against experimental data
</UL><img src="/view.aspx?si=154261/screengrab.png" alt="Parameter Estimation for Photovoltaic Diodes" align="left"/>The behavior of a photovoltaic diode is described by an implicit equation that cannot normally be rearranged using standard matheamtical functions. However, Maple offers many specialized mathematical functions that assist in manipulating implicit equations.
<BR><BR>
This application
<UL>
<LI> will rearrange the photovoltaic diode equation to give the current in terms of the LambertW equation
<LI>find the best-fit parameters against experimental data
</UL>154261Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanPyramidal Horn Design
https://www.maplesoft.com/applications/view.aspx?SID=154263&ref=Feed
This application calculates the optimum design parameters for an X-band pyramidal horn.<img src="/view.aspx?si=154263/screengrab.png" alt="Pyramidal Horn Design" align="left"/>This application calculates the optimum design parameters for an X-band pyramidal horn.154263Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanRadiation Pattern and Directivity of an Antenna Array
https://www.maplesoft.com/applications/view.aspx?SID=154264&ref=Feed
The application calculates the array factor and directivity for a uniform linear antenna array, and then plots the radiation pattern.<img src="/view.aspx?si=154264/screengrab.png" alt="Radiation Pattern and Directivity of an Antenna Array" align="left"/>The application calculates the array factor and directivity for a uniform linear antenna array, and then plots the radiation pattern.154264Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanPhysics of Silicon Based P-N Junction
https://www.maplesoft.com/applications/view.aspx?SID=154248&ref=Feed
In this worksheet, the physics of Silicon based P-N junction in thermal equilibrium is investigated. Special attention is devoted to the case where no bias voltage is applied to the junction. Poisson equation governing the electrostatic potential throughout the P-N junction is solved using two different approaches. According the first approach, the thin layer which extends on both sides of the junction is considered as depleted and Poisson equation is simplified and solved analytically. According to the second approach, a rigorous numerical resolution of Poisson equation is performed without resorting to any simplifying hypothesis. The worksheet presents a demonstration of Maple's capabilities in tackling the resolution of Poisson equation as a second order nonlinear nonhomogeneous ordinary differential equation and also in extracting, in addition to electrostatic potential, important physical quantities such as electrostatic field, negative and positive charge carriers densities, total charge as well as electric currents densities.<img src="/view.aspx?si=154248/PN_Junction.png" alt="Physics of Silicon Based P-N Junction" align="left"/>In this worksheet, the physics of Silicon based P-N junction in thermal equilibrium is investigated. Special attention is devoted to the case where no bias voltage is applied to the junction. Poisson equation governing the electrostatic potential throughout the P-N junction is solved using two different approaches. According the first approach, the thin layer which extends on both sides of the junction is considered as depleted and Poisson equation is simplified and solved analytically. According to the second approach, a rigorous numerical resolution of Poisson equation is performed without resorting to any simplifying hypothesis. The worksheet presents a demonstration of Maple's capabilities in tackling the resolution of Poisson equation as a second order nonlinear nonhomogeneous ordinary differential equation and also in extracting, in addition to electrostatic potential, important physical quantities such as electrostatic field, negative and positive charge carriers densities, total charge as well as electric currents densities.154248Thu, 25 May 2017 04:00:00 ZH. EL ACHOUBY, M. ZAIMI, A. IBRALH. EL ACHOUBY, M. ZAIMI, A. IBRALSolution Analytique Exacte dans un Circuit Eléctronique contenant une Résistance et une Diode
https://www.maplesoft.com/applications/view.aspx?SID=154185&ref=Feed
(Exact Analytical Solution in an electronic circuit containing a resistor and a diode)
<BR><BR>
Dans cette feuille d'application, nous utilisons le logiciel de calcul formel Maple dans la résolution analytique exacte des courants électriques traversant les différentes branches d'un circuit élèctronique. Puis, nous déterminons les expressions analytiques exactes des différences de potentiel aux bornes de tous les éléments du montage. puis nous calculons la résistance dynamique du diode du circuit. Les solutions analytiques proposées sont toutes exprimées en fonction de la fonction de Lambert W. Enfin, nous étudions l'influence de la résistance sur l'expression du courant électrique traversant le circuit élèctronique et sur les expressions des différences de potentiel aux bornes de tous les éléments du montage en faisant animer les solutions en variant la résistance sur un interval.
De la mème manière on étudie l'influence du : courant de saturation, le facteur d'idéalité et la température.
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<BR><BR>
In this application worksheet, we determine the exact analytical solutions for the current flows through the different branches of the electronic circuit . Then, we derive analytical expressions for the voltages at the terminals of all elements in the circuit. Finally, we calculate the dynamical resistances the diode in the circuit. The proposed analytical solutions are all expressed as functions of the Lambert W function. Finally, we study the influence of resistance on the expression of the electric current through the electronic circuit and the expressions of the potential differences across all elements of the assembly by facilitating solutions to vary the resistance on an interval.
Similarly, we study the influence of: saturation current, the ideality factor and temperature.<img src="/view.aspx?si=154185/diode.png" alt="Solution Analytique Exacte dans un Circuit Eléctronique contenant une Résistance et une Diode" align="left"/>(Exact Analytical Solution in an electronic circuit containing a resistor and a diode)
<BR><BR>
Dans cette feuille d'application, nous utilisons le logiciel de calcul formel Maple dans la résolution analytique exacte des courants électriques traversant les différentes branches d'un circuit élèctronique. Puis, nous déterminons les expressions analytiques exactes des différences de potentiel aux bornes de tous les éléments du montage. puis nous calculons la résistance dynamique du diode du circuit. Les solutions analytiques proposées sont toutes exprimées en fonction de la fonction de Lambert W. Enfin, nous étudions l'influence de la résistance sur l'expression du courant électrique traversant le circuit élèctronique et sur les expressions des différences de potentiel aux bornes de tous les éléments du montage en faisant animer les solutions en variant la résistance sur un interval.
De la mème manière on étudie l'influence du : courant de saturation, le facteur d'idéalité et la température.
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<BR><BR>
In this application worksheet, we determine the exact analytical solutions for the current flows through the different branches of the electronic circuit . Then, we derive analytical expressions for the voltages at the terminals of all elements in the circuit. Finally, we calculate the dynamical resistances the diode in the circuit. The proposed analytical solutions are all expressed as functions of the Lambert W function. Finally, we study the influence of resistance on the expression of the electric current through the electronic circuit and the expressions of the potential differences across all elements of the assembly by facilitating solutions to vary the resistance on an interval.
Similarly, we study the influence of: saturation current, the ideality factor and temperature.154185Wed, 26 Oct 2016 04:00:00 ZEL AYDI MHAMEDEL AYDI MHAMEDAmplifier Gain
https://www.maplesoft.com/applications/view.aspx?SID=153987&ref=Feed
In this application, we will plot the gain of an amplifier circuit, for both the ideal and non-ideal response.<img src="/view.aspx?si=153987/Amplifier_Gain.png" alt="Amplifier Gain" align="left"/>In this application, we will plot the gain of an amplifier circuit, for both the ideal and non-ideal response.153987Wed, 02 Mar 2016 05:00:00 ZSamir KhanSamir KhanAmplifier Gain Application
https://www.maplesoft.com/applications/view.aspx?SID=153988&ref=Feed
This application provides an interface that lets you experiment with amplifier parameters, and plot the ideal and non-ideal gain.<img src="/view.aspx?si=153988/AGA.png" alt="Amplifier Gain Application" align="left"/>This application provides an interface that lets you experiment with amplifier parameters, and plot the ideal and non-ideal gain.153988Wed, 02 Mar 2016 05:00:00 ZSamir KhanSamir KhanPV Diode Parameter Estimation
https://www.maplesoft.com/applications/view.aspx?SID=153990&ref=Feed
The behavior of a photovoltaic diode is often modeled with an equivalent circuit and described by an implicit diode equation.
<BR><BR>
This application
<UL>
<LI>will rearrange the diode equation to give the current in terms of the LambertW equation
<LI>find the best-fit parameters against experimental data
</UL><img src="/view.aspx?si=153990/PV_Diode_Estimation.png" alt="PV Diode Parameter Estimation" align="left"/>The behavior of a photovoltaic diode is often modeled with an equivalent circuit and described by an implicit diode equation.
<BR><BR>
This application
<UL>
<LI>will rearrange the diode equation to give the current in terms of the LambertW equation
<LI>find the best-fit parameters against experimental data
</UL>153990Wed, 02 Mar 2016 05:00:00 ZSamir KhanSamir KhanPV Diode Parameter Estimation
https://www.maplesoft.com/applications/view.aspx?SID=153908&ref=Feed
This application fits experimental I-V data to an equation that describes a photovoltaic diode.<img src="/view.aspx?si=153908/pvdiode.png" alt="PV Diode Parameter Estimation" align="left"/>This application fits experimental I-V data to an equation that describes a photovoltaic diode.153908Fri, 30 Oct 2015 04:00:00 ZSamir KhanSamir KhanGain of an Ideal and Non-Ideal Amplifier
https://www.maplesoft.com/applications/view.aspx?SID=153907&ref=Feed
This application models the ideal and non-ideal behavior of an amplifier.<img src="/view.aspx?si=153907/amplifiergain.png" alt="Gain of an Ideal and Non-Ideal Amplifier" align="left"/>This application models the ideal and non-ideal behavior of an amplifier.153907Fri, 30 Oct 2015 04:00:00 ZSamir KhanSamir KhanSpectogram Examples
https://www.maplesoft.com/applications/view.aspx?SID=153571&ref=Feed
<p>A spectrogram illustrates how the constituent frequencies of a signal vary over time. This application generates the spectrogram of several audio files, including a</p>
<ul>
<li>DTMS tone,</li>
<li>human voice saying “MapleSim”, </li>
<li>violin note played with vibrato, and an entire violin scale,</li>
<li>C8 piano note,</li>
<li>series of dolphin clicks,</li>
<li>and more.</li>
</ul>
<p>Interestingly, some electronic musicians hide images in their music; you can only view these images with a spectrogram of the appropriate part of the audio. This includes the track “My Violent Heart” by the Nine Inch Nails; you can view this spectrogram in this application.</p>
<p>The Spectrogram() function was introduced in Maple 18, and also lets you plot the waveform and power spectrum. You can also control the precise color grading, and range of colors used to represent the strength of the frequency contents.</p><img src="/view.aspx?si=153571/spectograms.png" alt="Spectogram Examples" align="left"/><p>A spectrogram illustrates how the constituent frequencies of a signal vary over time. This application generates the spectrogram of several audio files, including a</p>
<ul>
<li>DTMS tone,</li>
<li>human voice saying “MapleSim”, </li>
<li>violin note played with vibrato, and an entire violin scale,</li>
<li>C8 piano note,</li>
<li>series of dolphin clicks,</li>
<li>and more.</li>
</ul>
<p>Interestingly, some electronic musicians hide images in their music; you can only view these images with a spectrogram of the appropriate part of the audio. This includes the track “My Violent Heart” by the Nine Inch Nails; you can view this spectrogram in this application.</p>
<p>The Spectrogram() function was introduced in Maple 18, and also lets you plot the waveform and power spectrum. You can also control the precise color grading, and range of colors used to represent the strength of the frequency contents.</p>153571Wed, 07 May 2014 04:00:00 ZSamir KhanSamir KhanSpectogram Generator
https://www.maplesoft.com/applications/view.aspx?SID=144590&ref=Feed
<p>This application lets you load wave files, apply windows and IIR/FIR filters, and view the spectrogram, power spectrum and waveform. You can also set filter cut-off frequencies by clicking on the power spectrum plot.</p><img src="/view.aspx?si=144590/spectogram_thumb.png" alt="Spectogram Generator" align="left"/><p>This application lets you load wave files, apply windows and IIR/FIR filters, and view the spectrogram, power spectrum and waveform. You can also set filter cut-off frequencies by clicking on the power spectrum plot.</p>144590Wed, 13 Mar 2013 04:00:00 ZSamir KhanSamir KhanFiltering Frequency Domain Noise
https://www.maplesoft.com/applications/view.aspx?SID=144593&ref=Feed
<p>This application demonstrates how you can filter low-power noise from the frequency domain representation of experimental data.</p><img src="/view.aspx?si=144593/10748a72d8047dfc094a9cdc7e3de5cd.gif" alt="Filtering Frequency Domain Noise" align="left"/><p>This application demonstrates how you can filter low-power noise from the frequency domain representation of experimental data.</p>144593Wed, 13 Mar 2013 04:00:00 ZMaplesoftMaplesoftControl Loop Compensation for Buck Converter
https://www.maplesoft.com/applications/view.aspx?SID=139253&ref=Feed
<p>Switch mode power supplies have been supplying most of the DC voltages that modern electronics need for operation. It is not unusual that a single piece of electronic equipment to have more than 10 or even 15 to 20 different voltages all at different currents. Power supply design engineers must have a good understanding of the stability requirements and be able to design the best fitting compensation circuit for the application.</p><img src="/view.aspx?si=139253/afb6e746c0d6b75320beb456bfa4d086.gif" alt="Control Loop Compensation for Buck Converter" align="left"/><p>Switch mode power supplies have been supplying most of the DC voltages that modern electronics need for operation. It is not unusual that a single piece of electronic equipment to have more than 10 or even 15 to 20 different voltages all at different currents. Power supply design engineers must have a good understanding of the stability requirements and be able to design the best fitting compensation circuit for the application.</p>139253Tue, 06 Nov 2012 05:00:00 ZAlan ElbanhawyAlan ElbanhawySyrup: Circuit Analysis Package
https://www.maplesoft.com/applications/view.aspx?SID=127001&ref=Feed
<p>This is an update to the old Syrup package for analyzing electric circuits with Maple. The new version now runs on Maple 15 and is easily installable (it uses a Maple installer). New features include an export to Modelica, so it can be used with MapleSim.</p><P>Updated version: 0.1.16</P><img src="/view.aspx?si=127001/circut_sm.jpg" alt="Syrup: Circuit Analysis Package" align="left"/><p>This is an update to the old Syrup package for analyzing electric circuits with Maple. The new version now runs on Maple 15 and is easily installable (it uses a Maple installer). New features include an export to Modelica, so it can be used with MapleSim.</p><P>Updated version: 0.1.16</P>127001Sun, 23 Oct 2011 04:00:00 ZJoseph RielJoseph RielAnalytical Magnetic Field Modeling of Slotless Permanent Magnet Synchronous Motors
https://www.maplesoft.com/applications/view.aspx?SID=120250&ref=Feed
<p>In this paper an analytical model for predicting the open-circuit magnetic field distribution in the air gap of iron-cored internal rotor with radial magnetization of surface mounted magnet and a slotless stator is presented. The model is extended to the prediction of the armature reaction field, back-emf and instantaneous torque produced by the 3-phase stator windings with fractional or integer slot per pole and per phase of iron-cored internal rotor. Analytical model can be adapted also for any type of windings. The results are in closed forms and provide a basis for comparative studies between existing permanent magnet (PM) machines and searching for new PM machines topologies. Predicted armature reaction field distribution, back-emf and instantaneous torque can be validated by comparing with corresponding finite element calculations.</p><img src="/applications/images/app_image_blank_lg.jpg" alt="Analytical Magnetic Field Modeling of Slotless Permanent Magnet Synchronous Motors" align="left"/><p>In this paper an analytical model for predicting the open-circuit magnetic field distribution in the air gap of iron-cored internal rotor with radial magnetization of surface mounted magnet and a slotless stator is presented. The model is extended to the prediction of the armature reaction field, back-emf and instantaneous torque produced by the 3-phase stator windings with fractional or integer slot per pole and per phase of iron-cored internal rotor. Analytical model can be adapted also for any type of windings. The results are in closed forms and provide a basis for comparative studies between existing permanent magnet (PM) machines and searching for new PM machines topologies. Predicted armature reaction field distribution, back-emf and instantaneous torque can be validated by comparing with corresponding finite element calculations.</p>120250Mon, 23 May 2011 04:00:00 ZDr. kamel BoughraraDr. kamel BoughraraCoded Excitation Signal Analysis
https://www.maplesoft.com/applications/view.aspx?SID=102645&ref=Feed
We examine several different options for a coded excitation scheme by investigating the autocorrelation of several functions.<img src="/view.aspx?si=102645/maple_icon.jpg" alt="Coded Excitation Signal Analysis" align="left"/>We examine several different options for a coded excitation scheme by investigating the autocorrelation of several functions.102645Fri, 18 Mar 2011 04:00:00 ZMaplesoftMaplesoftIdeal Y-Y Three-Phase Rectifier
https://www.maplesoft.com/applications/view.aspx?SID=35201&ref=Feed
<p>This is an ideal Y-Y connected three-phase rectifier. The primary and secondary sides of the transformer are both Y-connected with the star connector to establish ground. The three phases are then sent into the Universal Bridge subsystem, which consists of ideal diodes that perform full-wave rectification of the three phases. The load consists of a resistor and a capacitor. The capacitor filters the ripple present on V+ to provide the resistive load with a more stable voltage.</p><img src="/view.aspx?si=35201/YY.png" alt="Ideal Y-Y Three-Phase Rectifier" align="left"/><p>This is an ideal Y-Y connected three-phase rectifier. The primary and secondary sides of the transformer are both Y-connected with the star connector to establish ground. The three phases are then sent into the Universal Bridge subsystem, which consists of ideal diodes that perform full-wave rectification of the three phases. The load consists of a resistor and a capacitor. The capacitor filters the ripple present on V+ to provide the resistive load with a more stable voltage.</p>35201Mon, 22 Feb 2010 05:00:00 ZMaplesoftMaplesoftCalculation of B6 Bridge Losses of a power stage driven by space vector modulation scheme
https://www.maplesoft.com/applications/view.aspx?SID=33154&ref=Feed
<p>In many applications inverter fed electrical machines are used. In this paper the switching losses of an inverter with a B6 power stage built of IGBTs and freewheeling diodes are calculated.</p>
<p>First the power loss models for the IGBTs and the freewheeling diodes are defined. Then the switching times are determined by mathematically describing the space vector modulation scheme.</p>
<p>In part one the losses are calculated for one operating point to get the reader familiar with the calculation scheme.</p>
<p>in part two the formulation is more generic to perform the following calculations for a field of operating points. The surfaces of the losses are displayed depending on several input variables influencing the losses of the B6 power stage.</p><img src="/view.aspx?si=33154/0\images\B6-Bridge_losses_IGB_26.gif" alt="Calculation of B6 Bridge Losses of a power stage driven by space vector modulation scheme" align="left"/><p>In many applications inverter fed electrical machines are used. In this paper the switching losses of an inverter with a B6 power stage built of IGBTs and freewheeling diodes are calculated.</p>
<p>First the power loss models for the IGBTs and the freewheeling diodes are defined. Then the switching times are determined by mathematically describing the space vector modulation scheme.</p>
<p>In part one the losses are calculated for one operating point to get the reader familiar with the calculation scheme.</p>
<p>in part two the formulation is more generic to perform the following calculations for a field of operating points. The surfaces of the losses are displayed depending on several input variables influencing the losses of the B6 power stage.</p>33154Wed, 24 Jun 2009 04:00:00 ZAndreas SchrammAndreas Schramm