.Buildings.Fluid.Utilities.extendedPolynomial

Polynomial that is linearly extended at user specified values

Information

For x between the bounds x_min < x < x_max, this function defines a polynomial

y = ∑_i=1ⁿ c_i x^i-1

where n > 1 and x_min, x_max are parameters. For x < x_min and x > x_max, the polynomial is replaced by a linear function in such a way that the first derivative is continuous everywhere.

Interface

function extendedPolynomial
  extends Modelica.Icons.Function;
  input Real x "x value";
  input Real[:] c "Polynomial coefficients";
  input Real xMin "Minimum x value for polynomial";
  input Real xMax "Maximum x value for polynomial";
  output Real y "y value";
end extendedPolynomial;

Revisions

September 28, 2012 by Michael Wetter:
Fixed typo in the documentation.
March 30, 2011 by Michael Wetter:
Added keyword zeroDerivative.
March 23, 2011 by Michael Wetter:
Changed order of argument list to make x the first argument.
September 11, 2007 by Michael Wetter:
Fixed error in computing the polynomial outside of xMin and xMax.
July 19, 2007 by Michael Wetter:
First implementation.

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