I. Introduction
IN a competitive power market, there are energy market and different ancillary service markets. To ensure the electricity energy to be delivered reliably and the system to be operated securely, various ancillary services are needed [1]–[7]. There are different types of ancillary services such as voltage support, regulation, etc. The real power generating capacity related ancillary services, including regulation down reserve (RDR), regulation up reserve (RUR), spinning reserve (SR), non-spinning reserve (NSR) and replacement reserve(RR), are particularly important, and will be considered in this paper. Regulation is the load following capability under automatic generation control (AGC) [2]–[4]. SR is a type of operating reserve, which is a resource capacity synchronized to the system that is unloaded, is able to respond immediately to serve load, and is fully available within ten minutes. NSR differs SR in that NSR is not synchronized to the system. RR is a resource capacity nonsynchronized to the system, which is able to serve load normally within thirty or sixty minutes [2]–[4]. Reserves can be provided by generating units or interruptible load in some cases. When provided by generating units, the amount of reserve that can be supplied depends on the ramping rate, unit capacity and current dispatched output.