Rotor for switch reluctance electrical motor with teeth having irregular cross-sectional profile

A switched reluctance electrical motor comprising:

• a rotor having a substantially circular cylindrical envelope with a diameter in a range of 50 mm to 300 mm and a length in the range of 20 mm to 250 mm, and comprising a plurality of radially extending rotor teeth, each of the rotor teeth having a smooth, curved radially outer surface and asymmetric side walls, one side wall of the asymmetric side walls having an overhanging portion that projects from each of the rotor teeth in a rotational direction, and
• a stator surrounding the rotor and comprising a plurality of stator poles, and the rotor teeth are circumferentially-spaced apart from each other to define slots between adjacent teeth formed by the asymmetric side walls of adjacent rotor teeth that, expressed in normalised angular and radial coordinates φnorm and rnorm respectively defined by
• φ
• n
• ⁢
• o
• ⁢
• r
• ⁢
• m
• =
• φ
• 0
• -
• φ
• m
• ⁢
• i
• ⁢
• n
• φ
• m
• ⁢
• ax
• -
• φ
• m
• ⁢
• i
• ⁢
• n
• ⁢
• and
• ⁢
• r
• n
• ⁢
• o
• ⁢
• r
• ⁢
• m
• =
• r
• 0
• -
• r
• m
• ⁢
• i
• ⁢
• n
• r
• m
• ⁢
• ax
• -
• r
• m
• ⁢
• i
• ⁢
• n
• ,
• rnorm being less than or equal to 1 and greater than or equal to 0, have a cross-sectional profile transverse to an axis of rotation of the rotor, lying within a polygonal region having a corresponding Well-known text, WKT, representation of:
• POLYGON ((0.42242 −0.00244, 0.41315 0.00244, 0.37738 0.01113, 0.31221 0.06593, 0.27282 0.09056, 0.21648 0.12963, 0.11751 0.20699, 0.11737 0.24054, 0.11385 0.28571, 0.09277 0.34885, 0.07981 0.4127, 0.02934 0.55067, −0.02808 0.69306, −0.0469 0.75422, −0.05749 0.80562, −0.05986 0.84371, −0.05629 0.87459, −0.04921 0.90035, −0.03859 0.92121, −0.00235 0.97436, −0.00338 1.00302, 0.00461 1.00413, 0.00934 0.974, −0.00366 0.94692, −0.02113 0.92063, −0.03404 0.89499, −0.03991 0.87057, −0.03991 0.83394, −0.03286 0.79365, −0.0223 0.75824, −0.00587 0.71551, 0.00822 0.68376, 0.06916 0.56091, 0.09615 0.49741, 0.11259 0.45224, 0.12671 0.40451, 0.13498 0.3602, 0.14082 0.33968, 0.14904 0.29816, 0.15258 0.26618, 0.1608 0.24664, 0.17371 0.22222, 0.21009 0.18559, 0.4108 0.08059, 0.48005 0.0464, 0.60211 0.12088, 0.65747 0.20825, 0.67606 0.23077, 0.70775 0.28083, 0.7208 0.31071, 0.73963 0.34012, 0.77844 0.39027, 0.80047 0.41514, 0.83099 0.47009, 0.86385 0.53724, 0.89319 0.61661, 0.91432 0.70208, 0.94603 0.86837, 0.96484 0.94541, 0.97672 0.97992, 0.99448 1.00208, 0.9972 1.00479, 1.00055 1.00474, 1.0045 1.0019, 1.00464 0.99842, 1.00117 0.99512, 0.98592 0.96825, 0.98005 0.94139, 0.973 0.88034, 0.9683 0.78621, 0.96361 0.73126, 0.9542 0.67131, 0.94131 0.61905, 0.94012 0.60538, 0.93073 0.5602, 0.91667 0.50916, 0.91075 0.48072, 0.89076 0.41467, 0.86963 0.35973, 0.85197 0.32177, 0.83451 0.2906, 0.82746 0.26984, 0.81455 0.07204, 0.81559 0.0617, 0.81103 0.05861, 0.80013 0.04309, 0.79612 0.04157, 0.67276 0.01345, 0.61279 0.00367, 0.57054−0.00122, 0.55634−0.00122, 0.54941 −0.00366, 0.48122−0.00366, 0.42242−0.00244)).