Figure 5
From: Characteristics and FEA verification of the attraction between like magnetic poles
The Bz distributions show the LDL and the EE of three N55 pairs of D4 × 16 vs. D32xL like poles in Series #2 for the center-aligned (a) and edge-aligned (b). The LDL values of D32xL are listed in the inset of (b), which were calculated by using Eq. (1). The details for this individual case are shown here: \(LDL=\frac{\Delta {\int }_{{x}_{1}}^{{x}_{2}}{B}_{z\_\mathrm{D}32\mathrm{x}L+\mathrm{D}4\mathrm{x}16}dx}{{\int }_{{x}_{1}}^{{x}_{2}}{B}_{z\_\mathrm{D}32\mathrm{x}L }dx}=\frac{{\int }_{{x}_{1}}^{{x}_{2}}{B}_{z\_\mathrm{D}32\mathrm{x}L+\mathrm{D}4\mathrm{x}16}dx-{\int }_{{x}_{1}}^{{x}_{2}}{B}_{z\_\mathrm{D}32\mathrm{x}L }dx}{{\int }_{{x}_{1}}^{{x}_{2}}{B}_{z\_\mathrm{D}32\mathrm{x}L }dx}\), where \({B}_{z\_\mathrm{D}32\mathrm{x}L+\mathrm{D}4\mathrm{x}16}\) is the Bz of D32xL paired with D4 × 16, and \({B}_{z\_\mathrm{D}32\mathrm{xL}}\) is the Bz of the standalone D32xL. The x1 and x2 are the positions enclosing the LD effect regions beneath D4 × 16. In the table, the column headers “C_aligned” and “E_aligned” stand for center-aligned and edge-aligned, respectively. Plots are given for the center-aligned pairs \({x}_{1}=-2\mathrm{mm}\) and \({x}_{2}=2\mathrm{mm}\) (a) and for the edge aligned pairs \({x}_{1}=12\mathrm{mm}\) and \({x}_{2}=16\mathrm{mm}\) (b). The 2D Bz maps at the cross-sections through diameters of the center- and edge-aligned three pairs are shown in (c).
