Numerical modelling of magnetic induction heating of a tubular implant for hyperthermia procedures

Modelling and regulation of two mechanical systems

“…Generalised coordinates of the vehicle are q = (x, y, z, φ, θ, ψ), where (x, y, z) represents the position relative from the mass centre of the hexarotor to the inertial reference, and (φ, θ, ψ) are the three Euler angles which represent the vehicle orientation, known as roll-pitch-yaw. ξ = (x, y, z) ∈ ℜ 3 and η = (φ, θ, ψ) ∈ ℜ 3 are the translational and rotational coordinates, respectively.…”

“…A mechanical system consists of (1) a power source and actuators that generate forces and movement, (2) a system of mechanisms that shape the actuator input to achieve a specific application of output forces and movement, and (3) a regulator with sensors that compares the output to a performance goal and then directs the actuator input. In the mentioned point (2) it is important to get the dynamic model, and in the mentioned point (3) it is important to develop the regulation design. This study is focused on these two aspects of the application of two special mechanical systems: the magnetic generator and hexarotor.…”

“…The influence of slotted air gap constructive parameters on magnetic flux density is addressed in [1,2]. In [3], the feasibility of using hyperthermia treatments by magnetic induction is advised. The magnetic force between two coils is mentioned in [4].…”

“…5, pp. 657-665 © The Institution of Engineering and Technology 2018The PR of (45) is employed where initial conditions are z 0 = [0.1, 0.1, 0.1] T , and the vector of gains is l 1 =[3,3,3]. Substituting values ofTable 1and the value of the gain in matrix A C of (63) yields…”