.Modelica.Fluid.Utilities.regPow

Anti-symmetric power approximation with non-zero derivative in the origin

Information

This function approximates abs(x)^a*sign(x), such that the derivative is positive, finite and smooth in x=0.

Function	Approximation	Range
y = regPow(x)	y ~= abs(x)^a*sgn(x)	abs(x) >>delta
y = regPow(x)	y ~= x*delta^(a-1)	abs(x) << delta

Interface

function regPow
  extends Modelica.Icons.Function;
  input Real x;
  input Real a;
  input Real delta = 0.01 "Range of significant deviation from x^a*sgn(x)";
  output Real y;
end regPow;

Revisions

15 Mar 2005 by Francesco Casella:
Created.

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