DC motor Copyright © 2003 by John Wiley & Sons, Inc. 1-1 A basic dc-machine N N F v I B S E B S B a B b N a) Force b) EMF F = BIL E = BvL S Rotating turn The commutator Copyright © 2003 by John Wiley & Sons, Inc. 1-2 DC-Motor Equivalent Circuit • The mechanical system can also be represented as an electrical circuit Copyright © 2003 by John Wiley & Sons, Inc. 1-3 Four-Quadrant Operation of DC-Motor Drives • High performance drives may operate in all four quadrants Copyright © 2003 by John Wiley & Sons, Inc. 1-4 Converter for DC-Motor Drives • Four quadrant operation is possible Copyright © 2003 by John Wiley & Sons, Inc. 1-5 DC-Motor Drive Torque-Speed Characteristics and Capabilities • With permanent magnets Copyright © 2003 by John Wiley & Sons, Inc. 1-6 DC-Motor Drive Capabilities • Separately-Excited field Copyright © 2003 by John Wiley & Sons, Inc. 1-7 Controlling Torque, Speed and Position • Cascaded control is commonly used Copyright © 2003 by John Wiley & Sons, Inc. 1-8 Small-Signal Representation of DC Machines • Around a steady state operating point Copyright © 2003 by John Wiley & Sons, Inc. 1-9 Electrical Time-Constant of the DC Machine • The speed is assumed constant Copyright © 2003 by John Wiley & Sons, Inc. 1-10 Mechanical Time-Constant of the DC Machine • The load-torque is assumed constant Copyright © 2003 by John Wiley & Sons, Inc. 1-11 Underground trainset, C15 Main data Line voltage: 500 – 770 V dc Nom. speed: 80 km/h Acceleration: 1,1 m/s^2 (6 sec to 25 km/h) Weight: 2 x 36 tons (full load) Nom. power: 4 x 2 x 80 kW Track width: 1435 mm Copyright © 2003 by John Wiley & Sons, Inc. 1-12 Main circuit, C15 Copyright © 2003 by John Wiley & Sons, Inc. 1-13