SynopsisA method of calculating the magnetic field in the end region of a turbogenerator is described. Allowance is made for nonmagnetic stator-core clamping plates and for the magnetic shaft and casing of the machine. The effect of a magnetic rotor-retaining ring is studied, the ring being regarded as a tube of finite permeability separating the stator and rotor end windings. Calculations are compared with experimental results. The field calculated at the surface of the stator-core end plates is used to estimate the eddy-current loss in these plates, and the effect upon this loss of the retain ing-ring permeability and the stator-winding cone angle is considered.
List of symbolsA = magnetic vector potential B = magnetic flux density g = halfwavelength of current distribution along axis H = magnetic field strength Io(*) = modified Bessel function of first kind and zero order Ii(x) = modified Bessel function of first kind and first order Ij'OO = derivative of function I\(x) K 0 C*) = modified Bessel function of second kind and zero order K|(x) = modified Bessel function of second kind and first order K{(x) = derivative of function K,(;t) K = surface density of current sheet p = number of pairs of poles a = ^Ig r, 6, z -circular cylindrical co-ordinates s = number of cylindrical current sheets forming stator winding a = constant associated with image current 8 = -^(iplojfjLQfj,,) = skin depth of eddy currents d = phase angle /u 0 = primary magnetic constant (or permeability of free space) \x.,. = relative permeability (suffixes 1, 3 and 5 are used to denote particular regions) p = resistivity = scalar potential o» = angular frequency R = radius of circular current filament KQ = circumferential surface current density Paper 5116 P, first received 13th April and in revised form 1st July 1966 Dr. Stoll is with C. A. Parsons