Quantification and allocation of peaking costs of hydro-thermal power systems

This paper addresses the quantification and allocation of peaking costs of hydrothermal power systems under electricity market environment. Mixed-integer linear formations of market scheduling of hydrothermal power systems is described, with the maximum ramping up/down limits and minimum start/off time limits of thermal generators, as well as the generation quantity and hydraulic vibrations of hydropower generators considered. The peaking costs are quantified based on the market scheduling model, with the impacts of transmission flow limit and generating constraints of hydro units and thermal units on peaking costs considered. Cooperative game theory is applied to allocate peaking costs among loads, the superadditivity and convex game characteristics of the peaking costs allocation problem are analyzed; a simplified algorithm for calculating Shapley value is proposed to overcome the combinatorial explosion problems of non-simplified Shapley value or nucleolus. Simulation results show that, operation constraints have severe impacts on the peaking capability of generation units as well as the economical operation of hydro-thermal power systems, and the simplified algorithm for calculating Shapley value is very effective in terms of calculation burden and precision.