Considering high-dimensional uncertainties and multi-type inter-temporal constraints in low-inertia systems

the frequency constrained unit commitment (FCUC) disregarding non-anticipatory regulation fails to ensure robustness and harnesses the potential of concentrating solar power (CSP) plants to accommodate uncertain output uncertainty and provide system frequency support. Firstly

we propose multi-period optimization models under the implicit decision method (IDM)

based on the box-format boundary-specific approach for decomposing inter-temporal generation constraints

which account for the multi-configuration states of CSP plants. Additionally

based on the dimensionality reduction technique for semi-infinite optimization problems (SOP)

we propose an efficient

implicit solution framework tailored to models

which utilizes an inexact column-and-constraint generation (I-C&CG) method. Finally

by integrating models and solution methods considering explicit decision methods (EDM)

simulation results on augmented IEEE 30- and IEEE RTS 118-bus test systems show frequency regulation characteristics of CSP plants in low-inertia systems and validate the relevance and applicability of the two proposed models in ensuring the non-anticipativity and robustness of the dispatch scheme.