Improving computational performance for estimating voltage stability margin in large power systems via a penalized second-order cone programming

Precisely estimating voltage stability margin (VSM) in large power systems is challenging due to problem size and complexity. In this paper, a penalized second-order cone programming (SOCP) for estimating VSM is proposed based on a phase angle approximation and sufficient cycle condition which are effective in tightening angle relaxations whilst avoiding increased computational burden. An appropriate trade-off between accuracy and efficiency can be achieved by the proposed SOCP which improves the computational performance for estimating VSM in large power systems.