With the large-scale integration of renewable energy

energy storage and other energy connected into the power grid

the new power system is facing enormous challenges in resource allocation

safe operation

and reliable power supply. The existing single-period static security region makes the security monitoring and control of the power system more scientific and effective

but it ignores the timing characteristics of power grid. Based on this

this paper proposes a model and characterization method for the multi-period static security region considering temporal constraints

aiming to ensure the security of the power system in the direction of time-series evolution. With the aim of coping with the increase of control variables and constraints due to the introduction of timing characteristics

the equivalence relationship between the regular stable equilibrium manifold of two-parameter dynamical system and the multi-period static security region of the power system is utilized. A three-stage characterization method based on decoupling is proposed

which realizes the complete characterization of the multi-period static security region of the power system. Meanwhile

a boundary expansion method is further proposed to quickly obtain the boundary of multi-period static security region

which significantly improves the characterization efficiency. Numerical simulations are conducted using IEEE 9 and IEEE 300 testing systems to analyze the necessity of considering temporal constraints. The applicability and effectiveness of the proposed method for complete characterization of the static security region are verified through model comparison and large-scale system testing.