Nonlinear Theory of Synchronous Machines On-Load

The usual two-reaction theory of synchronous machines yields results that neglect to take saturation into account. Based on a method developed in a companion paper [1], the radial airgap induction is found in synchronous machines when supplying balanced loads. The armature currents are considered to be distributed uniformly in the upper and lower layer of the armature windings. The partial differential equations, the boundary conditions, and the method of solution are reviewed. Numerical results are obtained for a 2750 kVA, 2300 V, 60 c/s, three-phase alternator at seven different internal power-factor angles. Calculated results compare well with tests.