This
class extends the
GovHydro4Base base class, implementing a governor which can be used for Pelton
and Francis turbines.
The
turbine characteristics is implemented as a linear interpolatipon
of a given set of working points, which default values are shown in the following
table:
| Stroke Position [PU] |
Turbine Flow [PU] |
| 0.1 |
0 |
| 0.4 |
0.42 |
| 0.5 |
0.56 |
| 0.7 |
0.8 |
| 0.8 |
0.9 |
| 0.9 |
0.97 |
| 1 |
1 |
The points in the table describe the relationship of flow
through the turbine to stroke of the gate actuating
servomotor.
The first two data points
will be used to extrapolate downward for stroke positions less than
minimum in the table, while the last two data points will be used
do extrapolate upward for stroke positions over than the maximum in
the table.
The curve are smoothed
by means of cubic Hermite splines such that the turbine flow
preserves the monotonicity and its derivative is continuous, also if
extrapolated (Fritsch-Butland
interpolation).
The interpolated curve is
proportional to turbine power, with the constant of proportionality
being a function of available head. This constant must be specified
by the turbine gain, At.
The typical value of At
is slightly greater than unity while the typical range of Qnl
is 0 - 0.15.
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