Thermal stability security domain boundary search method based on second-order cone optimization

The invention relates to the technical field of electric power system operation and optimization, in particular to a thermal stability security domain boundary search method based on second-order cone optimization. The method comprises the following steps: establishing a thermal stability security domain boundary point search model based on second-order cone optimization; establishing a node injection power balance constraint model, a branch alternating current power flow constraint model, a node voltage amplitude constraint model, a unit capacity constraint model and a branch current amplitude constraint model according to set constraint conditions; uniformly generating n boundary search directions in the injection power space; converting the branch alternating current power flow model into an equivalent inequality constraint model through a second-order cone relaxation method; solving the model by taking a parameter corresponding to the ground state power flow as an initial variable; and performing least sq