The Poly Ramp component generates a continuous, real, ramp signal with a specified offset, height, start time ($T_0$) and rise time ($T_r$).

The order parameter selects the order of the polynomial used to generate the ramp; it can be 3, 5, or 7.

$y\=\mathrm{offset}\+\mathrm{height}\{\begin{array}{cc}0& t\le T_0\\ \{\begin{array}{cc}\mathrm{-2}{x}^3\+3x^2& \mathrm{order}\=3\\ 6x^5-15x^4\+10x^3& \mathrm{order}\=5\\ \mathrm{-20}{x}^7\+70x^6-84x^5\+35x^4& \mathrm{order}\=7\end{array}& t\le T_0\+T_r\\ 1& \mathrm{otherwise}\end{array}$

$x\=\frac{t-T_0}{T_r}$

The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.