Periodic solution in multimachine power systems affected by perturbation of nonlinear loads

Some results of higher dimensional space periodic solution of differential and algebraic systems are presented. The structure preserving models are considered for power systems with loads influenced by periodic disturbance. The existence and uniqueness of periodic solutions for multimachine power systems with nonlinear loads are given. The existent conditions of periodic solution for multimachine power systems with constraints are obtained. Some examples are given to illustrate the feasibility by higher dimensional space periodic solution theory.