Hydro-thermal stochastic optimal power dispatch: a Newton´s based approach

A technique that deals with the power system hydro-thermal optimal power dispatch problem accounting for the effects of uncertainty in predicting active power demand is presented. The method relates the probability distribution of the uncertain factors in the system active power generation, bus voltages, and phase angles to the probability distribution of the errors resulting from the forecast of the active power demand. The equality constraints considered are the power flow equations in the polar co-ordinates, using the nodal admittance matrix formulation. A comparison of stochastic results with the conventional dispatch is offered for the 14-bus system. The differences in voltage profiles are minimal, but the corresponding differences in power, and energy losses can be noticeable. The authors also discuss the potential for using the proposed technique to supplement spinning reserve allocation as a tool for catering to uncertainty in demand