aMathEngine - Demo

A Math Calculator graphique pour l'école, de la science et de l'ingénierie.

A Graphical Math Calculator for School, Science and Control Engineering.

Calculator

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+ Typical Math Operations s. Screenshot.

+ Adds trigonometric and hyperbolic functions.

+ Transforms Numbers to Hex, Dual, Octal, Decimal Format.

+ Complex Numbers: Addition, Subtraction, Multiplication, Division, Amount, Angle, Polynomial

+ Analytical Geometry: Point, Straight Line, Plane, Sphere ...

+ Matrices: Inverse, Determinant, Eigenvectors, Multiplication, Gauß-Algorithm...

+ Fraction Form.

+ Displays graphical Formulas, with zoom and rotation possibilities.

+ 12 Workspaces.

+ Shows Functions with 'Gesture Functionality'.

+ Manually Editing of the interval boundaries.

+ Calculates Extreme Values: Root's, Maxima, Minima and Pole's.

+ Memorybutton.

+ Stores Functions, optionally with Parameters.

+ nested Functions are possible.

+ Two Graph Modes are available: a Split-Screen Graph and a Multi-Screen Graph.

+ The Multi-Screen Graph Mode supports three Functions in one Screen.

+ The Split-Screen-Graph Mode shows two Functions per Screen.

+ Displays the Function values.

+ PDF Export.

Regulation Technology

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+ Tuning Rules:

> Magnitude Optimum from Kessler

> Symmetrical Optimum from Kessler

> Chien Hrones Reswick

> Latzel

> Samal

> Kuhn

> Oppelt

> Cohen Coon

> Ziegler Nichols

+ Calculates Parameters:

> with different Test Signals,

> for I-Tn, P-T1, P-T2, P-T2s and P-Tn Plants,

> for a Transfer Function with initial conditions,

> for many different and/or equal Time-Constants [P-Tx Plants],

> from a given Step Response with a P-Tn (n equal Time-Constants) Approximation in accord with 'Schwarze',

> from a given Step Response with a P-T1-Tn (one separate Time-Constant and any equal Time-Constants) Approximation in accord with 'Schwarze',

> from a given Step Response with a P-Tt-T3 Approximation in accord with 'Thal-Larsen',

> from a given Step Response with a P-T2 Approximation in accord with 'Ormanns',

> from a given Step Response with a P-Tx Approximation in accord with 'Radtke',

> from a given Step Response with a P-Tn Approximation in accord with 'Sponer',

> from a given Step Response with a P-Tt-T1 Approximation in accord with 'Strejc',

> from a given damped Oscillation and

> from a TuTg-Approximation.

+ Identification of the P-, I-, PI-, PD-, and PID Controller Parameter from a Step Response.

+ Illustration of the Step Responses from the Plants and Controllers see above

> in a Multi-Function-Graph [3 Step Responses] or

> in Split-Screen-Graph [2 Step Responses per Screen]

> with or without Tangents.

+ Calculation and Depiction of Closed Loops and Plants with different Test Signals.

> Continuous Controller:

P, I, PI, PD, and PID,

mathematical Controller,

Regulation Limitation

and Anti-wind-up.

> Discrete Controller:

Two-Point Controller,

Three-Point Controller.

> Plants:

Deadtime-, P-, I-, D- and Oscillating Element,

delay Elements with equal Time-Constants,

delay Elements with different Time-Constants,

TuTg-Element,

Transfer Function with initial conditions,

Reference Performance at a specified Time,

Compensation Element in the Reference Path,

Disturbance Attenuation before and behind a Plant.

+ Analytical Calculation of Differential Equations with Initial Values, given as a Transfer Function G(s).

+ Illustration of the Input Signals

> in a Multi-Function-Graph [3 Closed Loops] or

> in a Split-Screen-Graph [2 Closed Loops per Screen]

> in tabular form.

> ...

+ PDF Export.

+ CSV Export.

Simulation

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+ Settings of the Interval Limits.

+ Adjustment of the Calculation Steps.

+ Algorithm Runge-Kutta.