functionSmoothPower
Limiting the derivative of function y = if x>=0 then x^pow else -(-x)^pow
Extends from Modelica.Icons.Function (Icon for functions).
Information
The function is used to limit the derivative of the following function at x=0:
y = if x ≥ 0 then xpow else -(-x)pow; // pow > 0
by approximating the function in the range -deltax< x < deltax with a third order polynomial that has the same derivative at abs(x)=deltax, as the function above.
Example
In the picture below the input x is increased from -1 to 1. The range of interpolation is defined by the same range. Displayed is the output of the function SmoothPower compared to
y=x*|x|
For |x| > 1 both functions return identical results.
References
- ThermoFluid Library
- http://sourceforge.net/projects/thermofluid/
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | x | Input variable | |
| Real | deltax | Range for interpolation | |
| Real | pow | Exponent for x |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | y | Output variable |