**Figure 10.**

*A three-phase asymmetric half-bridge converter.*

#### **Figure 11.**

*Force characteristic of an actuator possessed three phase.*

**69**

*Incremental Linear Switched Reluctance Actuator DOI: http://dx.doi.org/10.5772/intechopen.96584*

**6. Conclusions**

**Conflict of interest**

**Nomenclature**

λ

δ

*U* Voltage (V) *I* current (A)

 Pole pitch *Wco* Co-energy (J)

*fs* (N) dry friction

R phase resistor ( Ù ) *L* inductance (mH)

Linkage flux (wb)

*x* the displacement (m) *Fl* the load force (N)

*m* mass of the moving part (Kg)

*F* the electromagnetic force *(N*)

*Dv* viscous coefficient of friction (Ns/m)

*v* (m / s) represents the mechanical speed of the mobile (m/s)

equilibrium position in order to reach a stable position.

applied to the studied actuator have been presented.

The authors declare no conflict of interest.

is supplied, the stable equilibrium position is at P1. If the second phase is powered, the mobile is brought to position P2 when phase 3 is powered in turn, it brings the mobile to P3 and so on. The power supply sequence in the order 1,3,2 makes it possible to move the mobile in the opposite direction from P1 to P′1 then to P'3.

The **Figure 12** show the response of the actuator when a full step command is applied. The successive feeding of the phases causing the moving of the mobile by three mechanical steps, we can see that at each step the mobile oscillates around its

In this chapter, initially, the different topologies of incremental linear actuators are studied and presented, operating principal of switched reluctance actuator was described. Then, an analytical model of linear switched reluctance actuator was proposed and established which allowed to determine the electromagnetic force developed by the actuator. Finally, the different control techniques that can be

**Figure 12.** *Dynamic response of the actuator for full step command.*

*Incremental Linear Switched Reluctance Actuator DOI: http://dx.doi.org/10.5772/intechopen.96584*

is supplied, the stable equilibrium position is at P1. If the second phase is powered, the mobile is brought to position P2 when phase 3 is powered in turn, it brings the mobile to P3 and so on. The power supply sequence in the order 1,3,2 makes it possible to move the mobile in the opposite direction from P1 to P′1 then to P'3.

The **Figure 12** show the response of the actuator when a full step command is applied. The successive feeding of the phases causing the moving of the mobile by three mechanical steps, we can see that at each step the mobile oscillates around its equilibrium position in order to reach a stable position.
