xiv • CONTENTS CHAPTER X. HYSTERESIS MOTOR. PACK 1)8. Rotation of iron disc in rotating magnetic field—Equations- Motor below, generator above synchronism........16S 09. Derivation of equations from hysteresis law—Hysteresis torque of standard induction motor, and relation to size......1(39 100. General discussion of hysteresis motor—Hysteresis loop collapsing or expanding...........,.....170 CHAPTER XI. ROTARY TERMINAL SINGLE-PHASE INDUCTION MOTORS. 101. Performance and method of operation of rotary terminal single-phase induction Motor—Relation of motor speed to . brush speed and slip corresponding to the load.......172 102. Application of the principle to a self-starting single-phase power motor with high starting and accelerating torque, by auxiliary motor carrying brushes.........'........173 CHAPTER' XII. FREQUENCY CONVERTER OR GENERAL ALTERNATING CURRENT TRANSFORMER. 103. The principle of the frequency converter or general alternating current transformer—Induction motor and transformer special cases—Simultaneous transformation between primary elec- trical and secondary electrical power, and between electrical and mechanical power—Transformation of voltage and of fre- quency—The air-gap and its effect............176 104. Relation of e.m.f., frequency, number of turns and exciting current........................177 105. Derivation of the general alternating current transformer— Transformer equations and induction motor equations, special cases thereof......................178 106. Equation of power of general alternating current transformer . 182 107. Discussion: between synchronism and standstill—Backward driving—Beyond synchronism—Relation between primary electrical, secondary electrical and mechanical power . . . .184 108. Calculation of numerical instance............185 109. The characteristic curves: regulation curve, compounding curve—Connection of frequency converter with synchronous machine, and compensation for lagging current—Derivation of equation and numerical instance.............186 110. Over-synchronous operation—Two applications, as double synchronous generator, and as induction generator, with low frequency exciter....................190 111. Use as frequency converter—Use of synchronous machine or induction machine as second machine—Slip of frequency— Advantage of frequency converter over motor generator . . .191 112. Use of frequency converter—Motor converter, its advantages and disadvantages—Concatenation for multispeed operation . 192