3.1.10.3. Trig TimeSeries

This command is used to construct a TimeSeries object in which the load factor is some trigonometric function of the time in the domain \(\lambda = f(t) = \begin{cases} \text{cFactor} * sin (\frac{2.0 \Pi (t-tStart)}{\text{period}} + \text{shift}), &\text{tStart} <= t <= \text{tFinish}\\ \text{0.0}, &\text{otherwise}\\ \end{cases}\)

Fig. 3.1.10.3 Trigonometric Time Series

timeSeries Trig $tag $tStart $tEnd $period <-factor $cFactor> <-shift $shift>

Argument	Type	Description
$tag	integer	unique tag among TimeSeries objects.
$tStart	float	starting time of non-zero load factor
$tFinish	float	ending time of non-zero load factor
$period	float	characteristic period of sine wave
$shift	float	phase shift in radians (optional: default=0.0)
$cFactor	float	the load factor amplification factor (optional: default=1.0)

Example:

The following code demonstrates how user would create a trigonometric time series with a tag of 1, has a start time of 0.0, an end time of 10.0, a period of 1.0, and a max load factor of 2.0.

1. Tcl Code

timeSeries Trig 1 0.0 10.0 1.0 -factor 2.0

2. Python Code

timSeries('Trig',  1, 0.0, 10.0, 1.0, '-factor', 2.0)

Code Developed by: fmk