Stabilisation of individual generators with SVC designed via phase plane partitioning

By phase plane partitioning, dynamics of individual generators in multimachine systems are approximately represented by means of a sequence of linear time-invariant (LTI) state-space equations, based on which various static VAR compensators (SVCs) are designed to stabilise the individual generators by exploiting the well-known LTI stabilisation techniques. More precisely, the author works out state-feedback-controlled SVCs through pole assignment (PA) and least quadratic regulation (LQR), respectively. The suggested SVCs can also accommodate transient and steady-state performance specification on the generator's dynamics, besides its stabilisation. Numeric examples clearly illustrate efficacy and convenience of the stabilisation techniques.