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4 we have discussed the implications of saturation effects on the flux-linkage/current characteristic. 13. 7). 14. Note that in this example the gradient of the flux-linkage/current curve becomes zero for currents in excess of ±3 A. In reality the gradient will be non-zero when saturation occurs. 14. −2 −1 0 current (A) 1 2 3 4 Flux-linkage/current ψ (i) relationship The coil resistance of the coil is increased to R = 100 Ω. 15 clearly shows the presence of the non-linear module used to implement the function i (ψ).
Note that the reluctance in air does not exhibit saturation. The change in reluctance directly influences the flux-linkage current curve as an increasing Rm will reduce the slope of the ψ(i) curve as the flux density increases. Note that the latter is proportional to the circuit flux φ and fluxlinkage ψ value. 16. Note that the notion of inductance is for the general case not really applicable as the gradient of the function is no longer constant. Hence the term inductance is relevant when considering magnetically linear circuits.
7. Use the parameters and excitation as defined in tutorial 4. 18 shows the simulation results. 17. 1 Introduction The aim of this chapter is to introduce the ‘ideal transformer’ (ITF) concept. Initially, a single phase version is discussed which forms the basis for a transformer model. This model will then be extended to accommodate the socalled ‘magnetizing’ inductance and ‘leakage’ inductance. Furthermore, coil resistances will be added to complete the model. Finally, a reduced parameter model will be shown which is fundamental to machine models.