CONTENTS xiii PAGE 86. Relation of motor torque curve to voltage regulation of system —Regulation coefficient of system—Stability coefficient of system........................138 87. Effect of momentum on the stability of the motor—Regulation of overload capacity—Gradual approach to instability . . . . 141 CHAPTER VII. HIGHEE HARMONICS IN INDUCTION MOTORS. 88. Component torque curves due to the higher harmonics of the impressed voltage wave, in a quarter-phase induction motor; their synchronous speed and their direction, and the resultant torque curve......................144 89. The component torque curves due to the higher harmonics of the impressed voltage wave, in a three-phase induction motor— True three-phase and six-phase winding—Tie single-phase torque curve of the third harmonic...........147 90. Component torque curves of normal frequency, but higher number of poles, due to the harmonics of the space distribu- tion of the winding in the air-gap of a quarter-phase motor— Their direction and synchronous speeds..........150 91. The same in a three-phase motor—Discussion of the torque components due to the time harmonics of higher frequency and normal number of poles, and the space harmonics of normal frequency and higher number of poles...........154 92. Calculation of the coefficients of the trigonometric series repre- senting the space distribution of quarter-phase, six-phase and three-phase, full pitch and fractional pitch windings.....155 93. Calculation of numerical values for 0, Y§, Y^ M pitch defi- ciency, up to the 21st harmonic.............157 CHAPTER VII. SYNCHRONIZING INDUCTION MOTORS. 94. Synchronizing induction motors when using common secondary resistance.......................159 95. Equation of motor torque, total torque and synchronizing torque of two induction motors with common secondary rheo- stat .........................160 96. Discussion of equations—Stable and unstable position—Maxi- mum synchronizing power at 45° phase angle—Numerical instance........................163 CHAPTER IX. SYNCHRONOUS INDUCTION MOTOR. 97. Tendency to drop into synchronism, of single circuit induction motor secondary—-Motor or generator action at synchronism— Motor acting as periodically varying reactance, that is, as reaction machine—Low power factor—Pulsating torque below synchronism, due to induction motor and reaction machine torque superposition..................166