Conclusion

Iron-core inductor in the time-dependent case

Figure 1 - Perfect coil

Figure 2 - Perfect coil: Fresnel diagram

Figure 3 - Perfect coil: equivalent diagram

Figure 4 - Magnetic materials

Figure 5 - E-shaped magnetic circuit: dimensions

Figure 6 - Equivalent magnetic diagrams

Figure 7 - Evolution of dimensions, air gap and number of turns, as a function of inductance for different current values

Figure 8 - Distribution of induction lines. Finite element simulation

Figure 9 - Real coil. Influence of saturation

Figure 10 - Construction of the current absorbed by a real iron-core coil supplied with a sinusoidal voltage

Figure 11 - Saturable iron core coil: equivalent diagram

Figure 12 - Approximation of the equivalent sinusoidal current

Figure 13 - Hysteresis cycle of the equivalent coil

Figure 14 - Current absorbed by a real iron-core coil in the presence of a DC component

Figure 15 - Coil with eddy current losses: principle

Figure 16 - Coil with eddy current losses: Fresnel diagram

Figure 17 - Coil with iron losses: equivalent diagram

Figure 18 - Hysteresis cycle distortion as a function of frequency

Figure 19 - Iron losses as a function of frequency

Figure 20 - Current harmonics as a function of maximum induction

Figure 21 - Current harmonics as a function of the DC component

Figure 22 - Coil calculation flowchart taking into account iron losses

Figure 23 - Equivalent diagram of a coil with a saturable iron core: general case

Figure 24 - Calculation flowchart for voltage supply

Figure 25 - Characteristic b (h) without hysteresis

Figure 26 - Low-field hysteresis cycle

Figure 27 - Characteristic b (h) taking hysteresis and saturation into account

Figure 28 - Modeling the b(h) characteristic, taking hysteresis and saturation into account

Figure 29 - Primary current absorbed by a transformer at no load