Electromechanical systems are characterized by interaction of electromagnetic fields with inertial bodies. Electromechanical interactions can be described by so-called constitutive equations.Constitutive equations describing the coupling of multibody dynamics with Kirchhoff‘s theory of electrical networks as a quasi stationaryapproximation of Maxwell‘s theory define discrete electromechanicalsystems, i.e. systems with a finite degree of freedom.Then, based on the principle of virtual work, motion equations can be obtained as Lagrange‘s equations in explicit form due to a unified approach. The motion equations can be generated automatically. Hence, all electromechanical interactions are correctly taken into account.Examples for a MAGLEV and a planar motor are given.
[1]
D. White,et al.
Electromechanical energy conversion
,
1959
.
[2]
Herman E. Koenig,et al.
Electromechanical system theory
,
1961
.
[3]
Sundaram Seshu,et al.
Linear Graphs and Electrical Networks
,
1961
.
[4]
P. Maisser,et al.
Lagrange‐Formalismus für diskrete elektromechanische Systeme
,
1979
.
[5]
P. Maisser.
Analytische Dynamik von Mehrkörpersystemen
,
1988
.
[6]
Denny K. Miu.
Mechatronics : electromechanics and contromechanics
,
1993
.
[7]
John B. Wronosky,et al.
Positioning performance of a maglev fine positioning system
,
1996
.