Integrator
Add
Reciprocal
Power
Min
Log10AsEffect
Parts
HomotopyStrongComponentBreaker
DegradationGain
FractionGain
Modelica.Math extension
Extends from Modelica.Icons.Package (Icon for standard packages).
| Name | Description |
|---|---|
| Integrator
|
Integrator with support of steady state calculation. |
| Add
|
u + parameter |
| Reciprocal
|
1 / u |
| Power
|
b ^ u |
| Min
|
Pass through the smallest signal |
| Log10AsEffect
|
min( 0, log10(u) ) |
| Parts
|
Divide the input value by weights |
| HomotopyStrongComponentBreaker
|
Break the strong component in normalized signal with independent default constant value |
| DegradationGain
|
Output the degradation flow from HalfTime and the amount as the input signal |
| FractionGain
|
Output the fraction of the input signal |
Physiolibrary.Blocks.Math.IntegratorIntegrator with support of steady state calculation.
This blocks computes output y (element-wise) as integral of the input u multiplied with the gain k:
k
y = - u
s
It might be difficult to initialize the integrator in steady state. This is discussed in the description of package Continuous.
Extends from Modelica.Blocks.Interfaces.SISO (Single Input Single Output continuous control block).
| Name | Description |
|---|---|
| k | Integrator gain |
| u | Connector of Real input signal |
| y | Connector of Real output signal |
| stateName | |
| Initialization | |
| y_start | Initial or guess value of output (= state) |
| Solver | |
| Numerical support of very small concentrations | |
| NominalValue | Numerical scale. For some substances such as hormones, hydronium or hydroxide ions should be set. |
| Name | Description |
|---|---|
| u | Connector of Real input signal |
| y | Connector of Real output signal |
Physiolibrary.Blocks.Math.Addu + parameter
This block computes output y as sum of offset k with the input u:
y = k + u;
| Name | Description |
|---|---|
| k | value added to input signal |
| Name | Description |
|---|---|
| u | Input signal connector |
| y | Output signal connector |
Physiolibrary.Blocks.Math.Reciprocal1 / u
This blocks computes the output y as reciprocal value of the input u:
y = 1 / u ;
Extends from Modelica.Blocks.Interfaces.SISO (Single Input Single Output continuous control block).
| Name | Description |
|---|---|
| u | Connector of Real input signal |
| y | Connector of Real output signal |
Physiolibrary.Blocks.Math.Powerb ^ u
y = base^exponent
| Name | Description |
|---|---|
| Base | exponential base if useBaseInput=false |
| Conditional inputs | |
| useBaseInput | =true, if exponential base input is used instead of parameter Base |
| Name | Description |
|---|---|
| y | |
| base | |
| exponent |
Physiolibrary.Blocks.Math.MinPass through the smallest signal
This block computes the output y as minimum of the Real inputs u[1],u[2] .. u[nin]:
y = min ( u );
Extends from Modelica.Blocks.Interfaces.MISO (Multiple Input Single Output continuous control block).
| Name | Description |
|---|---|
| nin | Number of inputs |
| Name | Description |
|---|---|
| u[nin] | Connector of Real input signals |
| y | Connector of Real output signal |
Physiolibrary.Blocks.Math.Log10AsEffectmin( 0, log10(u) )
This blocks computes the output y as the base 10 logarithm of the input u if u>1 or 0 otherwise
y = if(u>1) log10( u ) else 0;
Extends from Modelica.Blocks.Interfaces.SISO (Single Input Single Output continuous control block).
| Name | Description |
|---|---|
| u | Connector of Real input signal |
| y | Connector of Real output signal |
Physiolibrary.Blocks.Math.PartsDivide the input value by weights
This blocks divide input value u to output array y by weights. The sum of output values is equal to input value u:
u = (w[1]*y[1] + w[2]*y[2] + ... + w[n]*y[n]) / (w[1] + w[2] + ... + w[n]);
Example:
parameter: nin = 3; w=ones(3); results in the following equations:
y[1]=u/3, y[2]=u/3, y[3]=u/3;Extends from Modelica.Blocks.Interfaces.SIMO (Single Input Multiple Output continuous control block).
Parameters
| Name | Description |
|---|---|
| nout | Number of outputs |
| w[nout] | Optional: weight coefficients |
| Name | Description |
|---|---|
| u | Connector of Real input signal |
| y[nout] | Connector of Real output signals |
Physiolibrary.Blocks.Math.HomotopyStrongComponentBreakerBreak the strong component in normalized signal with independent default constant value
This blocks should solve the initial strong component problem. In the non-linear-strong-component-cycled place, where the default or mean value of variable is known.
For example the regulation loop L driven by loop-dependent effect E with default value 1:
E=f(L(E)) can be rewritten to E=f(L( H )), where H is output from this block with input E.
Extends from Modelica.Blocks.Interfaces.SISO (Single Input Single Output continuous control block).
| Name | Description |
|---|---|
| defaultValue | |
| defaultSlope |
| Name | Description |
|---|---|
| u | Connector of Real input signal |
| y | Connector of Real output signal |
Physiolibrary.Blocks.Math.DegradationGainOutput the degradation flow from HalfTime and the amount as the input signal
This block computes output y as product of gain k with the input u:
y = k * u;
| Name | Description |
|---|---|
| HalfTime | Half time to compute degradation from amount or mass [s] |
| Name | Description |
|---|---|
| u | Input signal connector |
| y | Output signal connector |
Physiolibrary.Blocks.Math.FractionGainOutput the fraction of the input signal
This block computes output y as product of gain k with the input u:
y = k * u;
| Name | Description |
|---|---|
| f | Half time to compute degradation from amount or mass [1] |
| Name | Description |
|---|---|
| u | Input signal connector |
| y | Output signal connector |