Electrical: New Applications
https://www.maplesoft.com/applications/category.aspx?cid=194
en-us2020 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemFri, 18 Sep 2020 21:39:20 GMTFri, 18 Sep 2020 21:39:20 GMTNew applications in the Electrical categoryhttps://www.maplesoft.com/images/Application_center_hp.jpgElectrical: New Applications
https://www.maplesoft.com/applications/category.aspx?cid=194
Double Stub Matching
https://www.maplesoft.com/applications/view.aspx?SID=154628&ref=Feed
This application will calculate the lengths of two shunt stubs that match the load to the impedance of a transmission line.<img src="https://www.maplesoft.com/view.aspx?si=154628/double_stub.png" alt="Double Stub Matching" style="max-width: 25%;" align="left"/>This application will calculate the lengths of two shunt stubs that match the load to the impedance of a transmission line.https://www.maplesoft.com/applications/view.aspx?SID=154628&ref=FeedThu, 02 Apr 2020 04:00:00 ZSamir KhanSamir KhanFitting the Steinhart-Hart Equation to Thermistor Data
https://www.maplesoft.com/applications/view.aspx?SID=154594&ref=Feed
The Steinhart-Hart equation is an empirical relationship between the temperature and resistance of a thermistor with a negative temperature coefficient (that is, a thermistor whose resistance decreases with temperature).
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1/T = A + B*ln(R) + C*ln(R)^3
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A, B and C are determined by calibrating the equation against experimental data. This application fits data for a A-10K3A1 thermistor to the Steinhart-Hart Equation.
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Specifically, this application implements the method of determining A, B and C described on the Wikipedia page for the Steinhart-Hart equation. This approach uses three pairs of values of temperature and resistance.<img src="https://www.maplesoft.com/view.aspx?si=154594/thumb.png" alt="Fitting the Steinhart-Hart Equation to Thermistor Data" style="max-width: 25%;" align="left"/>The Steinhart-Hart equation is an empirical relationship between the temperature and resistance of a thermistor with a negative temperature coefficient (that is, a thermistor whose resistance decreases with temperature).
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1/T = A + B*ln(R) + C*ln(R)^3
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A, B and C are determined by calibrating the equation against experimental data. This application fits data for a A-10K3A1 thermistor to the Steinhart-Hart Equation.
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Specifically, this application implements the method of determining A, B and C described on the Wikipedia page for the Steinhart-Hart equation. This approach uses three pairs of values of temperature and resistance.https://www.maplesoft.com/applications/view.aspx?SID=154594&ref=FeedFri, 20 Dec 2019 05:00:00 ZSamir KhanSamir KhanComplex Nonlinear Least Squares Fitting of Immittance Data
https://www.maplesoft.com/applications/view.aspx?SID=154540&ref=Feed
This worksheet provides a procedure immfit that carries out complex nonlinear least squares fitting of experimental data to an arbitrary function of s = Iω. This can be used to fit impedance, admittance or other similar data, in which real and imaginary parts are measured as a function of frequency, to theoretical expressions such as expressions for the impedance of an electrical circuit.<img src="https://www.maplesoft.com/view.aspx?si=154540/Immfit.png" alt="Complex Nonlinear Least Squares Fitting of Immittance Data" style="max-width: 25%;" align="left"/>This worksheet provides a procedure immfit that carries out complex nonlinear least squares fitting of experimental data to an arbitrary function of s = Iω. This can be used to fit impedance, admittance or other similar data, in which real and imaginary parts are measured as a function of frequency, to theoretical expressions such as expressions for the impedance of an electrical circuit.https://www.maplesoft.com/applications/view.aspx?SID=154540&ref=FeedSat, 22 Jun 2019 04:00:00 ZDr. David HarringtonDr. David HarringtonWorst Case Circuit Analysis with Monte Carlo Simulation
https://www.maplesoft.com/applications/view.aspx?SID=154534&ref=Feed
Electrical components are manufactured in large quantities. Inconsistencies in the raw materials and the manufacturing process means that component parameters have a statistical distribution. That is, the resistance of a batch of resistors might be described by a normal distribution.
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Given the components in a circuit their parameter distribution, the circuit may not perform as specified. This is a risk that must be identified and mitigated early in the design process.
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Worst Case Circuit Analysis is a set of techniques used to analyze how variations in parameters influence circuit performance. One approach is Monte Carlo analysis, in which parameters are randomly selected from a distribution, and the circuit simulated, anywhere from 1000 to 100000 times.
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This application performs a worst case circuit analysis of an electrical circuit using a Monte Carlo approach.<img src="https://www.maplesoft.com/view.aspx?si=154534/WCCA_MC.png" alt="Worst Case Circuit Analysis with Monte Carlo Simulation" style="max-width: 25%;" align="left"/>Electrical components are manufactured in large quantities. Inconsistencies in the raw materials and the manufacturing process means that component parameters have a statistical distribution. That is, the resistance of a batch of resistors might be described by a normal distribution.
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Given the components in a circuit their parameter distribution, the circuit may not perform as specified. This is a risk that must be identified and mitigated early in the design process.
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Worst Case Circuit Analysis is a set of techniques used to analyze how variations in parameters influence circuit performance. One approach is Monte Carlo analysis, in which parameters are randomly selected from a distribution, and the circuit simulated, anywhere from 1000 to 100000 times.
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This application performs a worst case circuit analysis of an electrical circuit using a Monte Carlo approach.https://www.maplesoft.com/applications/view.aspx?SID=154534&ref=FeedWed, 29 May 2019 04:00:00 ZSamir KhanSamir KhanExtreme Value Analysis of an Electrical Circuit
https://www.maplesoft.com/applications/view.aspx?SID=154533&ref=Feed
An electrical component, such as a resistor or capacitor, is usually quantified with a nominal value and a tolerance. Given the number of components in a circuit and their compounded tolerances, the actual performance of a circuit may not necessarily match its desired performance.
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Extreme Value Analysis (EVA) is a process in which the behavior of a circuit is simulated for every permutation of extreme component parameters in combination with every permutation of extreme values for all other components. This application performs an extreme value analysis of a circuit with a photodiode-generated current and an op-amp, though the principles can be extended to any circuit.<img src="https://www.maplesoft.com/view.aspx?si=154533/circuit.png" alt="Extreme Value Analysis of an Electrical Circuit" style="max-width: 25%;" align="left"/>An electrical component, such as a resistor or capacitor, is usually quantified with a nominal value and a tolerance. Given the number of components in a circuit and their compounded tolerances, the actual performance of a circuit may not necessarily match its desired performance.
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Extreme Value Analysis (EVA) is a process in which the behavior of a circuit is simulated for every permutation of extreme component parameters in combination with every permutation of extreme values for all other components. This application performs an extreme value analysis of a circuit with a photodiode-generated current and an op-amp, though the principles can be extended to any circuit.https://www.maplesoft.com/applications/view.aspx?SID=154533&ref=FeedTue, 28 May 2019 04:00:00 ZSamir KhanSamir KhanCoaxial Cable Transmission Line Design
https://www.maplesoft.com/applications/view.aspx?SID=154401&ref=Feed
An electrical engineer is asked to design a coaxial transmission line with a characteristic impedance of 50 Ω and a phase velocity of at least 1.8 x 108 m s-1
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This application will calculate the outer radius of the line.<img src="https://www.maplesoft.com/view.aspx?si=154401/image.png" alt="Coaxial Cable Transmission Line Design" style="max-width: 25%;" align="left"/>An electrical engineer is asked to design a coaxial transmission line with a characteristic impedance of 50 Ω and a phase velocity of at least 1.8 x 108 m s-1
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This application will calculate the outer radius of the line.https://www.maplesoft.com/applications/view.aspx?SID=154401&ref=FeedFri, 09 Mar 2018 05:00:00 ZSamir KhanSamir KhanSingle Stub Matching of a Transmission Line
https://www.maplesoft.com/applications/view.aspx?SID=154415&ref=Feed
A single short circuited transmission line is a distance d from the load and of length d.
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Given a characteristic impedance of Z<SUB>0</SUB> and a load with complex impedance Z<SUB>L</SUB>, this application will calculate the values of d and l.
<UL>
<LI>The real part of the impedance at the stub location must match the transmission line characteristic impedance
<LI>The imaginary part of the impedance at the stub location must equal 0
</UL>
This results in two equations that must be solved numerically using <A HREF="/support/help/maple/view.aspx?path=fsolve">Maple’s fsolve function</A>. Units are used throughout the calculation.
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Reference: Iskander, Magdi F., Electromagnetic Fields and Waves, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1992.<img src="https://www.maplesoft.com/view.aspx?si=154415/image.png" alt="Single Stub Matching of a Transmission Line" style="max-width: 25%;" align="left"/>A single short circuited transmission line is a distance d from the load and of length d.
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Given a characteristic impedance of Z<SUB>0</SUB> and a load with complex impedance Z<SUB>L</SUB>, this application will calculate the values of d and l.
<UL>
<LI>The real part of the impedance at the stub location must match the transmission line characteristic impedance
<LI>The imaginary part of the impedance at the stub location must equal 0
</UL>
This results in two equations that must be solved numerically using <A HREF="/support/help/maple/view.aspx?path=fsolve">Maple’s fsolve function</A>. Units are used throughout the calculation.
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Reference: Iskander, Magdi F., Electromagnetic Fields and Waves, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1992.https://www.maplesoft.com/applications/view.aspx?SID=154415&ref=FeedFri, 09 Mar 2018 05:00:00 ZSamir KhanSamir KhanPolarization 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="https://www.maplesoft.com/view.aspx?si=154296/fieldplot.PNG" alt="Polarization of Dielectric Sphere ....." style="max-width: 25%;" 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.https://www.maplesoft.com/applications/view.aspx?SID=154296&ref=FeedMon, 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 KHAMKHAMIPyramidal 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="https://www.maplesoft.com/view.aspx?si=154263/screengrab.png" alt="Pyramidal Horn Design" style="max-width: 25%;" align="left"/>This application calculates the optimum design parameters for an X-band pyramidal horn.https://www.maplesoft.com/applications/view.aspx?SID=154263&ref=FeedMon, 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="https://www.maplesoft.com/view.aspx?si=154264/screengrab.png" alt="Radiation Pattern and Directivity of an Antenna Array" style="max-width: 25%;" align="left"/>The application calculates the array factor and directivity for a uniform linear antenna array, and then plots the radiation pattern.https://www.maplesoft.com/applications/view.aspx?SID=154264&ref=FeedMon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanParameter 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.
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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="https://www.maplesoft.com/view.aspx?si=154261/screengrab.png" alt="Parameter Estimation for Photovoltaic Diodes" style="max-width: 25%;" 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>https://www.maplesoft.com/applications/view.aspx?SID=154261&ref=FeedMon, 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="https://www.maplesoft.com/view.aspx?si=154248/PN_Junction.png" alt="Physics of Silicon Based P-N Junction" style="max-width: 25%;" 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.https://www.maplesoft.com/applications/view.aspx?SID=154248&ref=FeedThu, 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)
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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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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="https://www.maplesoft.com/view.aspx?si=154185/diode.png" alt="Solution Analytique Exacte dans un Circuit Eléctronique contenant une Résistance et une Diode" style="max-width: 25%;" 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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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.https://www.maplesoft.com/applications/view.aspx?SID=154185&ref=FeedWed, 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="https://www.maplesoft.com/view.aspx?si=153987/Amplifier_Gain.png" alt="Amplifier Gain" style="max-width: 25%;" align="left"/>In this application, we will plot the gain of an amplifier circuit, for both the ideal and non-ideal response.https://www.maplesoft.com/applications/view.aspx?SID=153987&ref=FeedWed, 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="https://www.maplesoft.com/view.aspx?si=153988/AGA.png" alt="Amplifier Gain Application" style="max-width: 25%;" align="left"/>This application provides an interface that lets you experiment with amplifier parameters, and plot the ideal and non-ideal gain.https://www.maplesoft.com/applications/view.aspx?SID=153988&ref=FeedWed, 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.
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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="https://www.maplesoft.com/view.aspx?si=153990/PV_Diode_Estimation.png" alt="PV Diode Parameter Estimation" style="max-width: 25%;" 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>https://www.maplesoft.com/applications/view.aspx?SID=153990&ref=FeedWed, 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="https://www.maplesoft.com/view.aspx?si=153908/pvdiode.png" alt="PV Diode Parameter Estimation" style="max-width: 25%;" align="left"/>This application fits experimental I-V data to an equation that describes a photovoltaic diode.https://www.maplesoft.com/applications/view.aspx?SID=153908&ref=FeedFri, 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="https://www.maplesoft.com/view.aspx?si=153907/amplifiergain.png" alt="Gain of an Ideal and Non-Ideal Amplifier" style="max-width: 25%;" align="left"/>This application models the ideal and non-ideal behavior of an amplifier.https://www.maplesoft.com/applications/view.aspx?SID=153907&ref=FeedFri, 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="https://www.maplesoft.com/view.aspx?si=153571/spectograms.png" alt="Spectogram Examples" style="max-width: 25%;" 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>https://www.maplesoft.com/applications/view.aspx?SID=153571&ref=FeedWed, 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="https://www.maplesoft.com/view.aspx?si=144590/spectogram_thumb.png" alt="Spectogram Generator" style="max-width: 25%;" 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>https://www.maplesoft.com/applications/view.aspx?SID=144590&ref=FeedWed, 13 Mar 2013 04:00:00 ZSamir KhanSamir Khan