Hydrothermal Economic Scheduling Part IV. A Continuous Procedure for Maximizing the Weighted Output of a Hydroelectric Generating Station

The derivative of the function relating maximum station output to station discharge is discontinuous at certain points. The attendant difficulties in maximizing weighted hydro output were avoided in Part I by using a maximizing procedure based on tabulated values of output and discharge. Here an alternative procedure is presented. Maximum station output is approximated by a concave differential function of discharge. In maximizing weighted hydro output, the derivative plays an essential role and any physically possible discharge is permitted.

[1]  B. Bernholtz.  OPTIMUM ALLOCATION OF DISCHARGE TO UNITS IN A HYDRO-ELECTRIC GENERATING STATION' , 1960 .

[2]  B. Bernholtz,et al.  Hydrothermal Economic Scheduling Part III. Scheduling the Thermal Subsystem Using Constrained Steepest Descent , 1961, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[3]  B. Bernholtz,et al.  Hydrothermal Economic Scheduling Part II. Extension of the Basic Theory , 1961, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.