On the Solution Uniqueness of Data-Driven Modeling of Flexible Loads

This letter first explores the solution uniqueness of the data-driven modeling of price-responsive flexible loads (PFL). The PFL on the demand side is critical in modern power systems. An accurate PFL model is fundamental for system operations. Yet, whether the PFL model can be uniquely and correctly identified from operational data remains unclear. To address this, we analyze the structural and practical identifiability of the PFL model, deriving the condition for the solution uniqueness. Based on this, we point out the implications for selecting physical models of PFL to enhance the identification results. Numerical results validate this work.