A multi-objective stochastic-information gap decision model for soft open points planning considering power fluctuation and growth uncertainty. (1st July 2022)

• Record Type: Journal Article
• Authors: Li, Junkai; Ge, Shaoyun; Zhang, Shida; Xu, Zhengyang; Wang, Liyong; Wang, Chengshan; Liu, Hong
• Is Part Of: Applied energy. Volume 317(2022)
• Publication Date: 2022-07-01
• Subjects: Soft open point -- Power fluctuation -- Growth uncertainty -- Information gap decision; Power (Mechanics) -- Periodicals; Energy conservation -- Periodicals; Energy conversion -- Periodicals; 621.042
• DOI: 10.1016/j.apenergy.2022.119141
• Languages: English
• ISSNs: 0306-2619

Abstract

Highlights: The mathematical model of different uncertainties is presented. The multi-objective stochastic-information gap decision model is developed considering multiple uncertainties in the SOP planning. The general and systematic solving method of the multi-objective stochastic-information gap decision model is proposed. The interaction between the power fluctuation and the growth uncertainty can be analyzed by means of the multi-objective stochastic-information gap decision model. Abstract: Recently, soft open points (SOPs) attract much attention due to providing power flow control and voltage regulation to the distribution system (DS). However, multiple uncertainties and expensive capital cost are referred to as thorny issues in the SOPs planning. In this paper, a multi-objective stochastic-information gap decision (MS-IGD) model is presented to alleviate multiple uncertainties with the limited budget. First, a deterministic SOP planning model is built to minimize the comprehensive cost of distributed system operator (DSO). Then, a MS-IGD model is formulated considering power fluctuation and growth uncertainty in distributed generators (DGs) and loads. To solve this model effectively, it is transformed to a mixed integer linear programming (MILP) by the polyhedron linearization technology, linear programming theory and ε constraint algorithm. In case studies, based on a prospective DS from northern China, the SOPs planning scheme with corresponding accommodation range of multiple uncertainties is presented. Numerical results not only authenticate that the worst-case envelope bound should not be decided in advance because of the complicated relationship between multiple uncertainties and investments, but also demonstrate the negative correlation between the deviation of power fluctuation and growth uncertainty under the same budget.