modelTableVoltage

Information

Parameters:

 table:      Two-dimensional table with supporting values (default value = [0, 0; 1, 1; 2, 4])

 offset:     Offset of time function to be generated (default value = 0 Volt)

 startTime:  Start time of time function to be generated (default value = 0 sec)

The model generates a voltage source by linear interpolation in a table. The time points and voltage values are stored in a matrix table[i,j], where the first column table[:,1] contains the time points, and the second column contains the voltage to be interpolated. The table interpolation has the following proporties:

• The time points need to be monotonically increasing.
• Discontinuities are allowed, by providing the same time point twice in the table.
• Values outside of the table range, are computed by extrapolation through the last or first two points of the table.
• If the table has only one row, no interpolation is performed and the voltage value is just returned independantly of the actual time instant, i.e., this is a constant voltage source.
• Via parameters startTime and offset the curve defined by the table can be shifted both in time and in the voltage.
• The table is implemented in a numerically sound way by generating time events at interval boundaries, in order to not integrate over a discontinuous or not differentiable points.

Example:

   table = [0  0
            1  0
            1  1
            2  4
            3  9
            4 16]
If, e.g., time = 1.0, the voltage v =  0.0 (before event), 1.0 (after event)
    e.g., time = 1.5, the voltage v =  2.5,
    e.g., time = 2.0, the voltage v =  4.0,
    e.g., time = 5.0, the voltage v = 23.0 (i.e. extrapolation).

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