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Summary ELECTRICAL MACHINES

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Summary and more like class notes of DC MOTOR AND DC GENERATOR full of formulas.

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DC MOTOR

INTRODUCTION
A DC motor, short for direct current motor, is an electric motor that converts
electrical energy into mechanical energy through the use of a magnetic field. It works
by creating a magnetic field in the motor’s rotor (the spinning part of the motor)
through the use of an electrical current, which then interacts with the magnetic field
produced by the motor’s stator (the stationary part of the motor) to produce
rotation. DC motors are commonly used in a variety of applications, including
manufacturing, robotics, automotive, and aerospace industries. They are preferred
due to their high efficiency, simplicity in construction, and ability to be controlled
easily using electronic circuits.

PRICIPLE OF DC MOTOR

A DC motor operates on the principle of Lorentz force, which states that when a
current-carrying conductor is placed in a magnetic field, it experiences a force
perpendicular to both the direction of the current and the magnetic field.
The basic components of a DC motor are the stator, rotor, commutator, and brushes.
The stator houses the magnetic field and is typically a permanent magnet or an
electromagnet. The rotor is a rotating part that contains the armature, which is
made up of wire coils. The commutator is a cylindrical device that helps to switch the
direction of the current through the armature, while the brushes are spring-loaded
contacts that transmit the current to the commutator.
The torque produced by a DC motor is given by the equation:
T = kϕI

Where T is the torque, k is a constant, ϕ is the magnetic field strength, and I is the
current flowing through the armature.
The speed of a DC motor is given by the equation:
ω = (V – IaRa)/kϕ
Where ω is the angular velocity, V is the applied voltage, Ia is the armature current,
Ra is the armature resistance, and kϕ is the torque constant.
The power output of a DC motor is given by the equation:
Pout = Tω
Where Pout is the power output, T is the torque, and ω is the angular velocity.
Overall, a DC motor is a highly efficient and reliable machine that has found
widespread use in a variety of applications, from powering electric vehicles and
industrial machinery to driving household appliances and toys.

BACK EMF OF DC MOTOR NOTES WITH FORMULA
Back Electromotive Force (EMF) of a DC motor refers to the voltage generated by the
motor when it rotates or operates. It is also known as counter EMF, and its value is
inversely proportional to the speed of the motor. The formula for back EMF of a DC
motor is given as:
E = KΦω

, Where, E = Back EMF voltage (Volts) K = Constant depending on the motor design Φ
= Flux per pole (Webers) ω = Rotational speed of the motor (Radians per second)
The back EMF of a DC motor plays a vital role in determining the speed of the motor.
When the motor rotates, it generates a back EMF that opposes the supply voltage,
thus reducing the current flowing through the motor. This effect is known as motor
self-regulation, and it ensures that the motor maintains a constant speed under
different loads.
Moreover, the back EMF of a DC motor is also used to calculate the torque produced
by the motor. The torque equation is given as:
T = (E - V) / Kt
Where, T = Torque (Newton-meters) V = Supply voltage (Volts) Kt = Torque constant
(Newton-meters per Ampere)
In summary, the back EMF of a DC motor is a crucial factor in understanding and
controlling the performance of the motor. It helps in maintaining a constant speed
and calculating the torque produced by the motor.

TORQUE OF DC MOTOR
The torque of a DC motor is directly proportional to the current flowing through the
motor's armature and the strength of the magnetic field. The formula for calculating
torque in a DC motor is:
T=k×I×Φ
Where T is the torque in Newton-meters (Nm), I is the current in amperes (A), Φ is
the magnetic flux in webers (Wb), and k is a constant that depends on the geometry
of the motor.
There are different types of DC motors, including brushed and brushless motors,
each having unique designs and torque calculation methods. The torque of a DC
motor plays a crucial role in assessing its suitability for different applications, such as
robotics, automation, and electric vehicles, among others.

The torque equation of a DC motor is given by:
T = kφI
Where: T = Torque produced by the motor k = Constant of proportionality (depends
on the design of the motor) φ = Magnetic flux generated by the field winding I =
Current flowing through the armature winding
The torque produced by the DC motor is directly proportional to the magnetic flux
generated by the field winding and the current flowing through the armature
winding. The constant of proportionality k is determined by the motor design and
the physical dimensions of the motor components. The torque produced by the
motor can be controlled by varying either the field current or the armature current.

TYPES OF DC MOTOR
 Permanent Magnet DC Motor (PMDC)
The magnetic field is created by a permanent magnet
A Permanent Magnet DC Motor (PMDC) is a type of electric motor that uses a
permanent magnet to create magnetic fields in the stator or fixed portion of the
motor. Unlike other types of DC motors, PMDC motors do not require external

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