Buildings.Utilities.Math.Functions.Examples

Information

Extends from Buildings.BaseClasses.BaseIconExamples (Icon for Examples packages).

Package Content

Name	Description
PolynomialDerivativeCheck
PowerLinearized	Test problem for function that linearizes y=x^n below some threshold
RegNonZeroPower
RegNonZeroPowerDerivative_2_Check
RegNonZeroPowerDerivativeCheck
SmoothExponentialDerivativeCheck
SpliceFunction
SpliceFunctionDerivativeCheck

Buildings.Utilities.Math.Functions.Examples.PolynomialDerivativeCheck

Information

This example checks whether the function derivative is implemented correctly. If the derivative implementation is incorrect, the model will stop with an assert statement.

Modelica definition

model PolynomialDerivativeCheck
  Real x;
  Real y;
initial equation 
   y=x;
equation 
  x=Buildings.Utilities.Math.Functions.polynomial(x=time-2, a={2, 4, -4, 5});
  der(y)=der(x);
  // Trigger an error if the derivative implementation is incorrect.
  assert(abs(x-y) < 1E-2, "Model has an error.");

end PolynomialDerivativeCheck;

Buildings.Utilities.Math.Functions.Examples.PowerLinearized

Modelica definition

model PowerLinearized 
  "Test problem for function that linearizes y=x^n below some threshold"
  Real T4(start=300^4) "Temperature raised to 4-th power";
  Real T "Temperature";
  Real TExact "Temperature";
equation 
  T = (1+500*time);
  T = Buildings.Utilities.Math.Functions.powerLinearized(x=T4, x0=243.15^4, n=0.25);
  TExact = abs(T4)^(1/4);

end PowerLinearized;

Buildings.Utilities.Math.Functions.Examples.RegNonZeroPower

Modelica definition

model RegNonZeroPower
  Real y "Function value";
equation 
  y=Buildings.Utilities.Math.Functions.regNonZeroPower(
                                             time, 0.3, 0.5);
end RegNonZeroPower;

Buildings.Utilities.Math.Functions.Examples.RegNonZeroPowerDerivative_2_Check

Information

This example checks whether the function derivative is implemented correctly. If the derivative implementation is not correct, the model will stop with an assert statement.

Parameters

Type	Name	Default	Description
Real	n	0.33	Exponent
Real	delta	0.1	Abscissa value where transition occurs

Modelica definition

model RegNonZeroPowerDerivative_2_Check

 parameter Real n=0.33 "Exponent";
 parameter Real delta = 0.1 "Abscissa value where transition occurs";

  Real x;
  Real y;
initial equation 
   y=x;
equation 
  x=Buildings.Utilities.Math.Functions.BaseClasses.der_regNonZeroPower(
                                                             time,n, delta, time);
  der(y)=der(x);
  assert(abs(x-y) < 1E-2, "Model has an error");

end RegNonZeroPowerDerivative_2_Check;

Buildings.Utilities.Math.Functions.Examples.RegNonZeroPowerDerivativeCheck

Information

This example checks whether the function derivative is implemented correctly. If the derivative implementation is not correct, the model will stop with an assert statement.

Parameters

Type	Name	Default	Description
Real	n	0.33	Exponent
Real	delta	0.1	Abscissa value where transition occurs

Modelica definition

model RegNonZeroPowerDerivativeCheck

 parameter Real n=0.33 "Exponent";
 parameter Real delta = 0.1 "Abscissa value where transition occurs";

  Real x;
  Real y;
initial equation 
   y=x;
equation 
  x=Buildings.Utilities.Math.Functions.regNonZeroPower(
                                             time,n, delta);
  der(y)=der(x);
  assert(abs(x-y) < 1E-2, "Model has an error");

end RegNonZeroPowerDerivativeCheck;

Buildings.Utilities.Math.Functions.Examples.SmoothExponentialDerivativeCheck

Information

This example checks whether the function derivative is implemented correctly. If the derivative implementation is not correct, the model will stop with an assert statement.

Modelica definition

model SmoothExponentialDerivativeCheck

  Real x;
  Real y;
  Real ex "exact function value";
initial equation 
   y=x;
equation 
  x=Buildings.Utilities.Math.Functions.smoothExponential(
                                               x=time-2, delta=0.5);
  der(y)=der(x);
  assert(abs(x-y) < 1E-2, "Model has an error");
  ex=exp(-abs(time-2));
end SmoothExponentialDerivativeCheck;

Buildings.Utilities.Math.Functions.Examples.SpliceFunction

Modelica definition

model SpliceFunction

  Real y "Function value";
equation 
  y=Buildings.Utilities.Math.Functions.spliceFunction(
                                            pos=10, neg=-10, x=time-0.4, deltax=0.2);
end SpliceFunction;

Buildings.Utilities.Math.Functions.Examples.SpliceFunctionDerivativeCheck

Information

This example checks whether the function derivative is implemented correctly. If the derivative implementation is not correct, the model will stop with an assert statement.

Modelica definition

model SpliceFunctionDerivativeCheck

  Real x;
  Real y;
initial equation 
   y=x;
equation 
  x=Buildings.Utilities.Math.Functions.spliceFunction(
                                            10, -10, time+0.1, 0.2);
  der(y)=der(x);
  assert(abs(x-y) < 1E-2, "Model has an error");

end SpliceFunctionDerivativeCheck;