Summary

An increasing number of loads are involved in demand response (DR), making power system operation dependent on small-scale interactive loads. In addition, uncertainties in DR behavior result in stochastic system loads. This paper proposes a bilevel model that determines the maximum and minimum system loads at equilibrium, jointly considering load interactions and

DR uncertainty. At the lower level, a user equilibrium (UE) model is adopted to represent interactions among a significant number of loads. At the upper level, uncertainty boundaries are determined, from which the extreme system load interval is derived. A unified virtual battery model is established, through which different types of uncertainty associated with DR behavior of loads are represented as ranges of load quantities. An efficient method based on a nested branch-and-price algorithm is developed to identify electricity consumption plans at equilibrium. Simulation results demonstrate that, in contrast to Monte Carlo methods, the proposed approach can accurately and efficiently determine the extreme load interval.

Moreover, it can identify the load types most influential on system load across different time periods.

Additional informations

Publication type Session Materials
Reference C5_11527_2026
Publication year
Publisher CIGRE
Country China, People's Republic of
Study committees
File size 783 KB
Price for non member 30 €
Price for member 30 €

Authors

JIN Fengyuan - Xi’an Jiaotong University; SHAO Chengcheng - Xi’an Jiaotong University; LU Yonghao - Xi’an Jiaotong University; WANG Xifan - Xi’an Jiaotong University; BORGHETTI Alberto - University of Bologna, Italy

Keywords

Demand response; extreme load interval; user equilibrium; bilevel optimization; uncertainty

Extreme load interval estimation based on user equilibrium under demand response uncertainty