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Buildings.Utilities.Math.Examples

Collection of models that illustrate model use and test models

Information

This package contains examples for the use of models that can be found in Buildings.Utilities.Math.

Extends from Modelica.Icons.ExamplesPackage (Icon for packages containing runnable examples).

Package Content

Name Description
Buildings.Utilities.Math.Examples.Average Average Test model for average function
Buildings.Utilities.Math.Examples.Bicubic Bicubic Test model for bicubic function
Buildings.Utilities.Math.Examples.Biquadratic Biquadratic Test model for biquadratic function
Buildings.Utilities.Math.Examples.BooleanReplicator BooleanReplicator Test model for boolean replicator
Buildings.Utilities.Math.Examples.IntegerReplicator IntegerReplicator Test model for integer replicator
Buildings.Utilities.Math.Examples.IntegratorWithReset IntegratorWithReset Test model for integrator with reset
Buildings.Utilities.Math.Examples.InverseXRegularized InverseXRegularized Test model for inverseXRegularized function
Buildings.Utilities.Math.Examples.Polynominal Polynominal Test model for ploynominal function
Buildings.Utilities.Math.Examples.PowerLinearized PowerLinearized Test model for powerLinearized function
Buildings.Utilities.Math.Examples.QuadraticLinear QuadraticLinear Test model for quadraticLinear function
Buildings.Utilities.Math.Examples.RegNonZeroPower RegNonZeroPower Test model for regNonZeroPower function
Buildings.Utilities.Math.Examples.SmoothBlocks SmoothBlocks Test model for smooth min and smooth max functions
Buildings.Utilities.Math.Examples.SmoothExponential SmoothExponential Test model for smoothExponential function
Buildings.Utilities.Math.Examples.SmoothHeaviside SmoothHeaviside Test model for smoothHeavisidefunction
Buildings.Utilities.Math.Examples.SmoothLimit SmoothLimit Test model for smooth limit
Buildings.Utilities.Math.Examples.SmoothMin SmoothMin Test model for smooth minimum
Buildings.Utilities.Math.Examples.Splice Splice Test model for splice
Buildings.Utilities.Math.Examples.VectorFunctions VectorFunctions Test model for functions that take a vector as argument

Buildings.Utilities.Math.Examples.Average Buildings.Utilities.Math.Examples.Average

Test model for average function

Buildings.Utilities.Math.Examples.Average

Information

This model tests the implementation of Buildings.Utilities.Math.Average.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model Average "Test model for average function" extends Modelica.Icons.Example; Buildings.Utilities.Math.Average average(nin=2); Modelica.Blocks.Sources.Ramp x1(duration=1); Modelica.Blocks.Sources.Ramp x2( height=2, duration=1, offset=2); Modelica.Blocks.Routing.Multiplex2 multiplex2_1; equation connect(x1.y, multiplex2_1.u1[1]); connect(x2.y, multiplex2_1.u2[1]); connect(multiplex2_1.y, average.u); end Average;

Buildings.Utilities.Math.Examples.Bicubic Buildings.Utilities.Math.Examples.Bicubic

Test model for bicubic function

Buildings.Utilities.Math.Examples.Bicubic

Information

This model tests the implementation of Buildings.Utilities.Math.Bicubic.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model Bicubic "Test model for bicubic function" extends Modelica.Icons.Example; Modelica.Blocks.Sources.Ramp x1(duration=1); Modelica.Blocks.Sources.Ramp x2( height=2, duration=1, offset=2); Buildings.Utilities.Math.Bicubic bicubic(a={1,2,3,4,5,6,7,8,9,10}); equation connect(x1.y, bicubic.u1); connect(x2.y, bicubic.u2); end Bicubic;

Buildings.Utilities.Math.Examples.Biquadratic Buildings.Utilities.Math.Examples.Biquadratic

Test model for biquadratic function

Buildings.Utilities.Math.Examples.Biquadratic

Information

This model tests the implementation of Buildings.Utilities.Math.Biquadratic.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model Biquadratic "Test model for biquadratic function" extends Modelica.Icons.Example; Modelica.Blocks.Sources.Ramp x1(duration=1); Modelica.Blocks.Sources.Ramp x2( height=2, duration=1, offset=2); Buildings.Utilities.Math.Biquadratic biquadratic(a={1,2,3,4,5,6}); equation connect(x1.y, biquadratic.u1); connect(x2.y, biquadratic.u2); end Biquadratic;

Buildings.Utilities.Math.Examples.BooleanReplicator Buildings.Utilities.Math.Examples.BooleanReplicator

Test model for boolean replicator

Buildings.Utilities.Math.Examples.BooleanReplicator

Information

This model tests the implementation of Buildings.Utilities.Math.BooleanReplicator.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model BooleanReplicator "Test model for boolean replicator" extends Modelica.Icons.Example; Modelica.Blocks.Sources.BooleanTable booTab(table={100,200,400,500}) "Boolean input signal"; Buildings.Utilities.Math.BooleanReplicator booRep(nout=4) "Replicates boolean values"; equation connect(booTab.y, booRep.u); end BooleanReplicator;

Buildings.Utilities.Math.Examples.IntegerReplicator Buildings.Utilities.Math.Examples.IntegerReplicator

Test model for integer replicator

Buildings.Utilities.Math.Examples.IntegerReplicator

Information

This model tests the implementation of Buildings.Utilities.Math.IntegerReplicator.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model IntegerReplicator "Test model for integer replicator" extends Modelica.Icons.Example; Modelica.Blocks.Sources.IntegerTable intTab(table=[0, 1; 1, 4; 1.5, 5; 2, 6]) "Integer input signal"; Buildings.Utilities.Math.IntegerReplicator intRep(nout=2) "Replicates integer values"; equation connect(intTab.y, intRep.u); end IntegerReplicator;

Buildings.Utilities.Math.Examples.IntegratorWithReset Buildings.Utilities.Math.Examples.IntegratorWithReset

Test model for integrator with reset

Buildings.Utilities.Math.Examples.IntegratorWithReset

Information

This model tests the implementation of Buildings.Utilities.Math.IntegratorWithReset with and without reset, and with different start values and reset values.

The integrator intWitRes1 is triggered by a sample trigger which becomes true at t=0, while intWitRes2 is triggered by a boolean pulse with is true at t=0. Hence, intWitRes1 starts with y(0)=y_reset while intWitRes2 starts with y(0)=y_start.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model IntegratorWithReset "Test model for integrator with reset" extends Modelica.Icons.Example; Modelica.Blocks.Sources.Constant cons(k=10) "Constant as source term"; Buildings.Utilities.Math.IntegratorWithReset intWitRes1( y_start=5, reset=Buildings.Types.Reset.Parameter, k=0.5, y_reset=2) "Integrator with reset"; Buildings.Utilities.Math.IntegratorWithReset intWitRes2( y_reset=10, y_start=-5, reset=Buildings.Types.Reset.Input, k=0.5) "Integrator with reset and y_reset = 2"; Modelica.Blocks.Sources.BooleanPulse booleanPulse(width=50, period=0.2) "Boolean pulse"; Buildings.Utilities.Math.IntegratorWithReset intNoReset( reset=Buildings.Types.Reset.Disabled, k=0.5, y_start=1) "Integrator without reset"; Modelica.Blocks.Sources.SampleTrigger sampleTrigger(period=0.2) "Sample trigger"; Modelica.Blocks.Sources.Ramp ramp( height=-1, duration=1, offset=-2) "Ramp as a source term"; Buildings.Utilities.Math.IntegratorWithReset intDef "Integrator with default values"; equation connect(cons.y, intWitRes1.u); connect(intNoReset.u, cons.y); connect(cons.y, intWitRes2.u); connect(sampleTrigger.y, intWitRes1.trigger); connect(booleanPulse.y, intWitRes2.trigger); connect(ramp.y, intWitRes2.y_reset_in); connect(cons.y, intDef.u); end IntegratorWithReset;

Buildings.Utilities.Math.Examples.InverseXRegularized Buildings.Utilities.Math.Examples.InverseXRegularized

Test model for inverseXRegularized function

Buildings.Utilities.Math.Examples.InverseXRegularized

Information

This model tests the implementation of Buildings.Utilities.Math.InverseXRegularized.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model InverseXRegularized "Test model for inverseXRegularized function " extends Modelica.Icons.Example; Modelica.Blocks.Sources.Ramp x1( duration=1, height=2, offset=-1); Buildings.Utilities.Math.InverseXRegularized inverseXRegularized(delta=0.1); equation connect(x1.y, inverseXRegularized.u); end InverseXRegularized;

Buildings.Utilities.Math.Examples.Polynominal Buildings.Utilities.Math.Examples.Polynominal

Test model for ploynominal function

Buildings.Utilities.Math.Examples.Polynominal

Information

This model tests the implementation of Buildings.Utilities.Math.Polynominal.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model Polynominal "Test model for ploynominal function " extends Modelica.Icons.Example; Modelica.Blocks.Sources.Ramp x1(duration=1); Buildings.Utilities.Math.Polynominal polynominal(a={1,2}); equation connect(x1.y, polynominal.u); end Polynominal;

Buildings.Utilities.Math.Examples.PowerLinearized Buildings.Utilities.Math.Examples.PowerLinearized

Test model for powerLinearized function

Buildings.Utilities.Math.Examples.PowerLinearized

Information

This model tests the implementation of Buildings.Utilities.Math.PowerLinearized.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model PowerLinearized "Test model for powerLinearized function " extends Modelica.Icons.Example; Modelica.Blocks.Sources.Ramp x1(duration=1); Buildings.Utilities.Math.PowerLinearized powerLinearized(n=2, x0=0.5); equation connect(x1.y, powerLinearized.u); end PowerLinearized;

Buildings.Utilities.Math.Examples.QuadraticLinear Buildings.Utilities.Math.Examples.QuadraticLinear

Test model for quadraticLinear function

Buildings.Utilities.Math.Examples.QuadraticLinear

Information

This model tests the implementation of Buildings.Utilities.Math.QuadraticLinear.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model QuadraticLinear "Test model for quadraticLinear function " extends Modelica.Icons.Example; Modelica.Blocks.Sources.Ramp x1(duration=1); Buildings.Utilities.Math.QuadraticLinear quadraticLinear(a={1,2,3,4,5,6}); Modelica.Blocks.Sources.Ramp x2( duration=1, offset=2, height=5); equation connect(x2.y, quadraticLinear.u2); connect(x1.y, quadraticLinear.u1); end QuadraticLinear;

Buildings.Utilities.Math.Examples.RegNonZeroPower Buildings.Utilities.Math.Examples.RegNonZeroPower

Test model for regNonZeroPower function

Buildings.Utilities.Math.Examples.RegNonZeroPower

Information

This model tests the implementation of Buildings.Utilities.Math.RegNonZeroPower.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model RegNonZeroPower "Test model for regNonZeroPower function " extends Modelica.Icons.Example; Modelica.Blocks.Sources.Ramp x1(duration=1); Buildings.Utilities.Math.RegNonZeroPower regNonZeroPower(n=0.5); equation connect(x1.y, regNonZeroPower.u); end RegNonZeroPower;

Buildings.Utilities.Math.Examples.SmoothBlocks Buildings.Utilities.Math.Examples.SmoothBlocks

Test model for smooth min and smooth max functions

Buildings.Utilities.Math.Examples.SmoothBlocks

Information

This model tests the implementation of blocks that approximate non-differentiable functions by smooth functions.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model SmoothBlocks "Test model for smooth min and smooth max functions" extends Modelica.Icons.Example; SmoothMax smoMax(deltaX=0.5); Modelica.Blocks.Math.Max max; Modelica.Blocks.Sources.Sine sine(freqHz=8); Modelica.Blocks.Sources.Sine sine1(freqHz=1); Diagnostics.AssertEquality assEquMax(threShold=0.08); Buildings.Utilities.Math.SmoothMin smoMin(deltaX=0.5); Modelica.Blocks.Math.Min Min; Diagnostics.AssertEquality assEquMin(threShold=0.08); equation connect(sine.y, smoMax.u1); connect(sine.y, max.u1); connect(sine1.y, smoMax.u2); connect(sine1.y, max.u2); connect(smoMax.y, assEquMax.u1); connect(max.y, assEquMax.u2); connect(sine.y, smoMin.u1); connect(sine.y, Min.u1); connect(sine1.y, smoMin.u2); connect(sine1.y, Min.u2); connect(smoMin.y, assEquMin.u1); connect(Min.y, assEquMin.u2); end SmoothBlocks;

Buildings.Utilities.Math.Examples.SmoothExponential Buildings.Utilities.Math.Examples.SmoothExponential

Test model for smoothExponential function

Buildings.Utilities.Math.Examples.SmoothExponential

Information

This model tests the implementation of Buildings.Utilities.Math.SmoothExponential.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model SmoothExponential "Test model for smoothExponential function " extends Modelica.Icons.Example; Modelica.Blocks.Sources.Ramp x1( duration=1, height=2, offset=-1); Buildings.Utilities.Math.SmoothExponential smoothExponential(delta=0.1); equation connect(x1.y, smoothExponential.u); end SmoothExponential;

Buildings.Utilities.Math.Examples.SmoothHeaviside Buildings.Utilities.Math.Examples.SmoothHeaviside

Test model for smoothHeavisidefunction

Buildings.Utilities.Math.Examples.SmoothHeaviside

Information

This model tests the implementation of Buildings.Utilities.Math.SmoothHeaviside.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model SmoothHeaviside "Test model for smoothHeavisidefunction " extends Modelica.Icons.Example; Modelica.Blocks.Sources.Ramp x1( duration=1, height=2, offset=-1); Buildings.Utilities.Math.SmoothHeaviside smoothHeaviside(delta=0.1); equation connect(x1.y, smoothHeaviside.u); end SmoothHeaviside;

Buildings.Utilities.Math.Examples.SmoothLimit Buildings.Utilities.Math.Examples.SmoothLimit

Test model for smooth limit

Buildings.Utilities.Math.Examples.SmoothLimit

Information

This model tests the implementation of Buildings.Utilities.Math.SmoothLimit.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model SmoothLimit "Test model for smooth limit" extends Modelica.Icons.Example; Modelica.Blocks.Sources.Sine sine(freqHz=8); Buildings.Utilities.Math.SmoothLimit smoLim( deltaX=0.001, upper=0.5, lower=0) "Smooth limit"; equation connect(sine.y, smoLim.u); end SmoothLimit;

Buildings.Utilities.Math.Examples.SmoothMin Buildings.Utilities.Math.Examples.SmoothMin

Test model for smooth minimum

Buildings.Utilities.Math.Examples.SmoothMin

Information

This model tests the implementation of Buildings.Utilities.Math.SmoothMin.

This model also illustrates that the output can be larger than the minimum of the two input signals. Smaller values for deltaX will reduce this effect. Therefore do not use this function when the minimum output value should be respected.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model SmoothMin "Test model for smooth minimum" extends Modelica.Icons.Example; Buildings.Utilities.Math.SmoothMin smoLim[2](deltaX={0.1,0.02}) "Smooth limit"; Modelica.Blocks.Sources.Ramp ramp(height=1, duration=1) "Ramp input"; Modelica.Blocks.Sources.Constant const(k=0.5) "Constant input"; equation connect(ramp.y, smoLim[1].u1); connect(smoLim[2].u1, ramp.y); connect(const.y, smoLim[1].u2); connect(const.y, smoLim[2].u2); end SmoothMin;

Buildings.Utilities.Math.Examples.Splice Buildings.Utilities.Math.Examples.Splice

Test model for splice

Buildings.Utilities.Math.Examples.Splice

Information

This model tests the implementation of Buildings.Utilities.Math.Splice

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model Splice "Test model for splice" extends Modelica.Icons.Example; Buildings.Utilities.Math.Splice splice(deltax=0.2); Modelica.Blocks.Sources.Sine sine(freqHz=0.5); Modelica.Blocks.Sources.Constant const1(k=-0.5); Modelica.Blocks.Sources.Constant const(k=0.5); equation connect(sine.y, splice.x); connect(const1.y, splice.u2); connect(const.y, splice.u1); end Splice;

Buildings.Utilities.Math.Examples.VectorFunctions Buildings.Utilities.Math.Examples.VectorFunctions

Test model for functions that take a vector as argument

Buildings.Utilities.Math.Examples.VectorFunctions

Information

This model tests the implementation of functions that take a vector as an argument.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model VectorFunctions "Test model for functions that take a vector as argument" extends Modelica.Icons.Example; Buildings.Utilities.Math.Min minVec(nin=3); Modelica.Blocks.Sources.Sine sine(freqHz=6); Modelica.Blocks.Sources.Sine sine1(freqHz=8); Modelica.Blocks.Sources.Sine sine2(freqHz=10); Buildings.Utilities.Math.Max maxVec(nin=3); Buildings.Utilities.Math.Average aveVec(nin=3); equation connect(sine.y, minVec.u[1]); connect(sine1.y, minVec.u[2]); connect(sine2.y, minVec.u[3]); connect(sine.y, maxVec.u[1]); connect(sine1.y, maxVec.u[2]); connect(sine2.y, maxVec.u[3]); connect(sine.y, aveVec.u[1]); connect(sine1.y, aveVec.u[2]); connect(sine2.y, aveVec.u[3]); end VectorFunctions;