The Root Mean Square component computes the root-mean-square of the input signal $u$ over the period of a specified frequency $f$.

$y\&equals;\{\begin{array}{cc}0& t<t_0\&plus;\frac{1}{f}\\ \sqrt{f{\int }_T^{T\&plus;\frac{1}{f}}{u}^2\mathrm{dt}}& \mathrm{otherwise}\end{array}$

$T\&equals;t_0\&plus;\frac{\left|\left(t-t_0\right)f\right|-1}{f}$

$\mathrm{with}{t}_0\mathrm{the\; start-time\; of\; the\; simulation}$

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.