Modeling nonlinear incentive-based and price-based demand response programs and implementing on real power markets

• Nonlinear modelings for demand response (DR) programs are presented.
• The DR programs include incentive-based DR and price-based DR programs.
• The effects of DR programs on several real power markets are investigated.
• Values of errors due to unpractical modeling of responsive load behavior are probed.
• Optimal schemes of DR programs from different viewpoints are investigated.

The most important factor in the demand side management (DSM) is realistically modeling reaction of the responsive load respect to the different plans of the demand response (DR) programs introduced by the DR provider. Due to the economic and social aspects, the responsive load behavioural models (RLBMs) might be different in every power market. In this study, linear and nonlinear modellings for the incentive-based DR (IBDR) programs and the price-based DR (PBDR) programs are presented and implemented on several real power markets. Herein, results of the implementation of DR programs on the power markets for different participation levels of the responsive load in the DR programs are studied. In addition, value of the possible errors in the defined indices due to unpractical modeling of the responsive load behaviour are probed, and also optimal schemes of the IBDR and PBDR programs are investigated in every power market from different viewpoints.