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The electric circuit of the armature and the free-body diagram of the rotor are shown in the following figure. R Armature circuit L be Rotor Fixed field or permanent magnet Fig. 1- Dynamic Model of a DC Motor

The electric circuit of the armature and the free-body diagram of the rotor are shown in the following figure. R Armature circuit L be Rotor Fixed field or permanent magnet Fig. 1- Dynamic Model of a DC Motor

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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The electric circuit of the armature and the free-body diagram of the rotor are shown in the following figure. R ww Armature circuit L 30 be Rotor Fig. 1- Dynamic Model of a DC Motor i Fixed field or permanent magnet
Transcribed Image Text:The electric circuit of the armature and the free-body diagram of the rotor are shown in the following figure. R ww Armature circuit L 30 be Rotor Fig. 1- Dynamic Model of a DC Motor i Fixed field or permanent magnet
PART I. Writing the equations that describe the behavior of a DC motor The electric circuit of the armature and the free-body diagram of the rotor are shown in the following figure. Armature circuit Rotor Fixed field or permanent magnet Fig. 1- Dynamic Model of a DC Motor This model will be used to simulate the response of the motor. Simulink will be used to simulate the response of the dynamic system. Electrical Characteristics The equivalent electrical circuit of a DC motor is illustrated in fig. 1. It can be represented by a voltage source (v) across the coil of the armature. The electrical equivalent of the armature coil can be described by an inductance (L) in series with a resistance (R) in series with an induced voltage (e) which opposes the voltage source. The induced voltage is generated by the rotation of the electrical coil through the fixed flux lines of the permanent magnets. This voltage is often referred to as the back emf (electromotive force). A differential equation for the equivalent circuit can be derived by using Kirchoff's voltage law around the electrical loop. Step 1. Write the differential equation for the equivalent electrical circuit. Use Kirchoff's voltage law around the electrical loop (Kirchoff's voltage law states that the sum of all voltages around a loop must equal zero): Write here Kirchoff's voltage law: Write here the differential equation for the electrical portion of the DC motor is: Write here the back emf differential equation. Notice that the back emf is proportional to the angular velocity of the shaft by a constant factor Ke (emf constant)
Transcribed Image Text:PART I. Writing the equations that describe the behavior of a DC motor The electric circuit of the armature and the free-body diagram of the rotor are shown in the following figure. Armature circuit Rotor Fixed field or permanent magnet Fig. 1- Dynamic Model of a DC Motor This model will be used to simulate the response of the motor. Simulink will be used to simulate the response of the dynamic system. Electrical Characteristics The equivalent electrical circuit of a DC motor is illustrated in fig. 1. It can be represented by a voltage source (v) across the coil of the armature. The electrical equivalent of the armature coil can be described by an inductance (L) in series with a resistance (R) in series with an induced voltage (e) which opposes the voltage source. The induced voltage is generated by the rotation of the electrical coil through the fixed flux lines of the permanent magnets. This voltage is often referred to as the back emf (electromotive force). A differential equation for the equivalent circuit can be derived by using Kirchoff's voltage law around the electrical loop. Step 1. Write the differential equation for the equivalent electrical circuit. Use Kirchoff's voltage law around the electrical loop (Kirchoff's voltage law states that the sum of all voltages around a loop must equal zero): Write here Kirchoff's voltage law: Write here the differential equation for the electrical portion of the DC motor is: Write here the back emf differential equation. Notice that the back emf is proportional to the angular velocity of the shaft by a constant factor Ke (emf constant)
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