Buildings.Utilities.Math

Package Content

Name	Description
Functions	Package with mathematical functions
Average	Average of a vector
Max	Maximum element of a vector
Min	Minimum element of a vector
SmoothHeaviside	Once continuously differentiable approximation to the Heaviside function
SmoothMax	Once continuously differentiable approximation to the maximum function
SmoothMin	Once continuously differentiable approximation to the minimum function
Examples	Collection of models that illustrate model use and test models
BaseClasses	Package with base classes for the Math package

Buildings.Utilities.Math.Average

Information

Outputs the average of the vector.

Extends from Modelica.Blocks.Interfaces.MISO (Multiple Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
Integer	nin	1	Number of inputs

Connectors

Type	Name	Description
input RealInput	u[nin]	Connector of Real input signals
output RealOutput	y	Connector of Real output signal

Modelica definition

block Average "Average of a vector"
  extends Modelica.Blocks.Interfaces.MISO;
equation 
 y = sum(u)/nin;
end Average;

Buildings.Utilities.Math.Max

Information

Outputs the minimum of the vector.

Extends from Modelica.Blocks.Interfaces.MISO (Multiple Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
Integer	nin	1	Number of inputs

Connectors

Type	Name	Description
input RealInput	u[nin]	Connector of Real input signals
output RealOutput	y	Connector of Real output signal

Modelica definition

block Max "Maximum element of a vector"
  extends Modelica.Blocks.Interfaces.MISO;
equation 
 y = max(u);
end Max;

Buildings.Utilities.Math.Min

Information

Outputs the minimum of the vector.

Extends from Modelica.Blocks.Interfaces.MISO (Multiple Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
Integer	nin	1	Number of inputs

Connectors

Type	Name	Description
input RealInput	u[nin]	Connector of Real input signals
output RealOutput	y	Connector of Real output signal

Modelica definition

block Min "Minimum element of a vector"
  extends Modelica.Blocks.Interfaces.MISO;
equation 
 y = min(u);
end Min;

Buildings.Utilities.Math.SmoothHeaviside

Information

Once Lipschitz continuously differentiable approximation to the Heaviside(.,.) function.

Extends from Modelica.Blocks.Interfaces.SISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
Real	delta		Width of transition interval

Connectors

Type	Name	Description
input RealInput	u	Connector of Real input signal
output RealOutput	y	Connector of Real output signal

Modelica definition

block SmoothHeaviside 
  "Once continuously differentiable approximation to the Heaviside function"
  extends Modelica.Blocks.Interfaces.SISO;
 parameter Real delta "Width of transition interval";
equation 
  y = Buildings.Utilities.Math.Functions.smoothHeaviside(x=u, delta=delta);
end SmoothHeaviside;

Buildings.Utilities.Math.SmoothMax

Information

Once continuously differentiable approximation to the max(.,.) function.

Extends from Modelica.Blocks.Interfaces.SI2SO (2 Single Input / 1 Single Output continuous control block).

Parameters

Type	Name	Default	Description
Real	deltaX		Width of transition interval

Connectors

Type	Name	Description
input RealInput	u1	Connector of Real input signal 1
input RealInput	u2	Connector of Real input signal 2
output RealOutput	y	Connector of Real output signal

Modelica definition

block SmoothMax 
  "Once continuously differentiable approximation to the maximum function"
  extends Modelica.Blocks.Interfaces.SI2SO;
  Modelica.Blocks.Interfaces.RealOutput y "Connector of Real output signal";
 parameter Real deltaX "Width of transition interval";
equation 
  y =  Buildings.Utilities.Math.Functions.smoothMax(x1=u1, x2=u2, deltaX=deltaX);
end SmoothMax;

Buildings.Utilities.Math.SmoothMin

Information

Once continuously differentiable approximation to the max(.,.) function.

Extends from Modelica.Blocks.Interfaces.SI2SO (2 Single Input / 1 Single Output continuous control block).

Parameters

Type	Name	Default	Description
Real	deltaX		Width of transition interval

Connectors

Type	Name	Description
input RealInput	u1	Connector of Real input signal 1
input RealInput	u2	Connector of Real input signal 2
output RealOutput	y	Connector of Real output signal

Modelica definition

block SmoothMin 
  "Once continuously differentiable approximation to the minimum function"
  extends Modelica.Blocks.Interfaces.SI2SO;
  Modelica.Blocks.Interfaces.RealOutput y "Connector of Real output signal";
 parameter Real deltaX "Width of transition interval";
equation 
  y = Buildings.Utilities.Math.Functions.smoothMin(x1=u1, x2=u2, deltaX=deltaX);
end SmoothMin;