Power systems with high-penetration renewable energy sources face new challenges in ensuring secure and economic operation

due to the uncertainty of sources such as wind and photovoltaic power. As the third paper in this series

this study emphasizes the fundamental theory of “decision-dependent uncertainty (DDU)”

which is a key issue in system operation. It aims to develop new theories and methods for maintaining a supply-demand balance

ensuring secure and cost-effective operation of the power system with a high share of renewable energy sources. First

based on the set model of DDU

the concepts of separability are introduced to unfold the mathematical structure property of DDU sets. Consequently

the “two-way matching” mechanism for supply-demand balance under DDU is clarified: system operation decisions can regulate resources to “actively shape” the uncertainty scope and distribution

maximize alignment with the dispatchable domain

and shift from traditional “passive adaptation to uncertainty” to “proactive shaping of uncertainty”. Coupled with the two-stage robust dispatch framework

the main causes of the non-convexity of the feasible region in robust dispatch due to DDU are revealed

and a generic approach is suggested based on separability to devise cut-based algorithms suitable for decision-making under DDUs. The paper presents several typical examples of supply-demand balance analysis and dispatch decisions based on DDU

demonstrating the advantages and potential of DDU theory in improving system flexibility and economy. Finally

the key challenges and future research directions of supply-demand balance operational decision-making under DDU are discussed.