A state space synchronous machine model with multifunctional characterization of saturation using Levenberg–Marquardt optimization algorithm

• An accurate method to represent magnetic saturation in synchronous machines is presented in this paper.
• The proposed method is verified by error testing methods for several selected configurations.
• A new state space synchronous machine model incorporating the saturation model is presented in this paper.
• Performance analysis is carried out for steady state operational mode and the effect of saturation has been investigated.

Performance of electrical machines is critically affected by the saturating nature of ferromagnetic materials. In order to have a reliable and accurate estimation of the steady-state behavior of synchronous machines, it is important to have a precise machine model that includes saturation. This paper aims to develop a new synchronous machine model incorporating an accurate saturation model. The algorithm used in this paper to represent magnetic saturation calculates the coefficients in several real function expressions for the saturation characteristics of a synchronous machine. The new synchronous machine model proposed in this paper has been used in the investigations to calculate the machine behavior in various operating conditions.