This study proposes an analytical approach by optimum process that is generalized by number of phases, magnet,
and pole-pair of linear machines based on a physical magnetic circuit model. The linear machine increases
the force output of the machine due to generation of the magnetic field created by the armature winding. There
is a strong attractive force between the iron-core armature and the permanent magnet. Therefore, this paper
deals not only with one-phase systems by the number of magnet and pole pairs but also two-phase machines in
linear machines. All this is carried out for optimum process using geometric parameters based on analytical
electromagnetic field research. The best structure for optimum design is selected by a parameter study and it is
accomplished with 2-D finite element analysis. The object function and design variables for this parameter
study by constraints are chosen for practical and effective design of the machine. Eventually, it suggests new
design rules based on optimal design through parameter study. The proposed methods allow us to draw a very
important design rule, as a result it can be provided to less time of the machine design and analysis.