Steady-state analysis of nonlinear dynamic systems with periodic excitation based on linearization in harmonic space

This paper considers a very general formulation of the differential equations of a dynamic system in periodic steady state. These are linearized around an operating point, in algebraic form in terms of incremental harmonic phasor components. The solution is iterative, either Newton-type with quadratic convergence in the neighbourhood of the solution, or it has linear convergence if the Jacobian is not updated at each iteration.