Application of two-stage robust optimization theory in power system scheduling under uncertainties: A review and perspective

Multi-uncertainties impose enormous challenges to the optimal scheduling of power systems, and two-stage robust optimization (TSRO) theory has been widely investigated and employed in this field as a valid processing approach. This paper primarily reviews the research on TSRO scheduling of power systems. Firstly, the general formulations and solution algorithms for multi-type TSRO models are summarized and categorized. Subsequently, various modeling methods for continuous and discrete uncertainties in power systems are generalized, along with their characteristics and advantages clarified by expounding application scopes and implementation values. Next, research work and achievements of TSRO in power system scheduling are reviewed from four aspects, i.e., unit commitment, economic dispatch, active/reactive power coordination and resilient dispatch, and the development and practicality of TSRO in the four directions are detailedly combed combining latest literature. Finally, according to the aforementioned analysis, existing research gaps are discussed from the aspects of formulation morphology, solution algorithm, uncertainty modeling and extended application, and the outlook of future work is provided accordingly. •Two-stage robust optimization (TSRO) is summarized from modeling structures.•General mathematical formulations and solution algorithms are given explicitly.•Various uncertainty sets in power systems are comprehensively overviewed.•State-of-the-art in TSRO scheduling is reviewed and analyzed from four perspectives.•Current research gaps and future directions are precisely pointed out.