CONTENTS • xi Induction Motor with Commutator PAGE 58. Wave shape of commutated full frequency current in induction • motor secondary—Its low frequency component—Full fre- quency reactance for rotor winding—The two independent . variables: voltage and phase—Speed control and power factor correction, depending on brush position..........89 59. Squirrel cage winding combined with commutated winding— Heyland motor—Available only for power factor control—Its limitation.......................91 CHAPTER V. SINGLE-PHASE INDUCTION MOTOR. 60. Quadrature magnetic flux of single-phase induction motor pro- duced by armature currents—The torque produced by it— The exciting ampere-turns and their change between synchron- ism and standstill....................93 61. Relations between constants per circuit, and constants of the total polyphase motor—Relation thereto of the constants of the motor on single-phase supply—Derivation of the single- phase motor constants from those of the motor as three-phase or quarter-phase motor...................94 62. Calculation of performance curves of single-phase induction motor—Torque and power...............96 63. The different methods of starting single-phase induction motors —Phase splitting devices; inductive devices; monocyclic de- vices; phase converter................. 96 64. Equations of the starting torque, starting torque ratio, volt- ampere ratio and apparent starting torque efficiency of the single-phase induction motor starting device........98 65. The constants of the single-phase induction motor with starting device.........................100 66. The effective starting impedance of the single-phase induction motor—Its approximation—Numerical instance......101 67. Phase splitting devices—Series impedances with parallel con- nections of the two circuits of a quarter-phase? motor—-Equa- tions .........................101$ 68. Numerical instance of resistance in one motor circuit, with motor of high and of low resistance armature.......104 69. Capacity and inductance as starting device-—Calculation of values to give true quarter-phase relation.........100 70. Numerical instance, applied to motor of low, and of higli arma- ture resistance.....................108 71. Series connection of motor circuits with shunted impedance-— Equations, calculations of conditions of maximum torque ratio—Numerical instance................109 72. Inductive devices—External inductive devices—Internal in- ductive devices....................Ill 73. Shading coil—Calculations of voltage ratio and phase angle . 112