Variations in temperature, frequency and voltage each will cause variations in the lumped parameter values. Changes in temperature cause electrical conductivity and permeability to vary (note, skin depth will also change); changes in frequency, for a given voltage, change the volts-secs in the ferromagnetic material potentially leading to saturation (and change the skin depth); changes in voltage, for a given frequency, also change the volt-secs in the ferromagnetic material and may lead to magnetic saturation; furthermore increased current resulting from greater voltage may, itself, lead to saturation. Also, dynamic changes in the load may lead to parameter changes.
The external knobs are voltage, frequency, and load, but what matters most are flux and current. The machine operation changes whenever flux and current vary .
See, for example, P. Krause, Analysis of Electric Machinery, IEEE Press, NY, 1995; or J. Chasson, Modeling and High Performance Control of Electric Machines, IEEE Press, 2005. There are many similar excellent books.