piece-wise linearization of fuel costs

[Regis-Delubac]

For the situations where the costs are quadratic (hourly cost = a * P^2 + b * P + c) I am taking an average value of the costs.
I have seen that piece-wise options exist for efficiencies and I am wondering if it could be used for costs.

The idea would be to say:
For power between 0-50 use this value of costs
For power between 50-100 this other value etc ...

Moreover, the effect of scales also apply for CAPEX costs so the feature could be of interest too.