Providing a suitable model for demand response programs (DRPs) in electricity market is a very important factor. In this regard considerable efforts have been carried out to model demand response in electricity market. By using DRPs some technical and economical characteristic of power system are improved. The DRPs are divided into two categories which are priced-based and incentive-based demand response programs. This paper presents a logarithmic modeling of critical peak pricing programs (CPP) as most prevalent priced-based DRPs. In this way, nonlinear behavioral characteristic of elastic loads is considered which causes to more realistic modeling of demand response to CPP rates. Numerical analysis on the load profile of the peak day of the Iranian power system in 2007 is conducted to examine the proposed model. Hence, different scenarios have also been considered. The results reveal the good performance of proposed models. The results are carried out by using MATLAB software.
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