Abstract
In this paper we provide a solution to the long-standing problem of transient stabilization of multi machine power systems with non-negligible transfer conductances. More specifically, we consider the full 3n-dimensional model of the n-generator system with lossy transmission lines and loads and prove the existence of a nonlinear static state feedback law for the generator excitation field that ensures asymptotic stability of the operating point with a well-defined estimate of the domain of attraction provided by a bona fide Lyapunov function. Our derivations underscore the deleterious effects of resistive elements which, as is well-known, hamper the assignment of simple “gradient” energy functions and compel us to include non-standard cross terms. A key step in the construction is the modification of the energy transfer between the electrical and the mechanical parts of the system that play the role of multipliers in classical passivity theory.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
