4.6.3. Trigonometric TimeSeriesΒΆ

timeSeries('Trig', tag, tStart, tEnd, period, '-factor', factor=1.0, '-shift', shift=0.0, '-zeroShift', zeroShift=0.0)

This command is used to construct a TimeSeries object in which the load factor is some trigonemtric function of the time in the domain

\[ \begin{align}\begin{aligned}\begin{split}\lambda = f(t) = \begin{cases} cFactor * sin(\frac{2.0\pi(t-tStart)}{period}+\phi), & tStart<=t<=tEnd\\ 0.0, & otherwise \end{cases}\end{split}\\\phi = shift - \frac{period}{2.0\pi} * \arcsin(\frac{zeroShift}{cFactor})\end{aligned}\end{align} \]
tag (int) unique tag among TimeSeries objects.
tStart (float) Starting time of non-zero load factor.
tEnd (float) Ending time of non-zero load factor.
period (float) Characteristic period of sine wave.
shift (float) Phase shift in radians. (optional)
factor (float) Load factor. (optional)
zeroShift (float) Zero shift. (optional)