Electrical Machines · Fundamentals

Magnetismthe B-H Curve & Hysteresis Loop

Dr. Mithun Mondal BITS Pilani, Hyderabad Campus Electrical Machines

Demonstrative Video

SECTION 01

Magnetisation or B-H Curve

  • Graph between flux density \(B\) and magnetising force \(H\)

    BH curve
    Bh Curve

  • The shape of the \(B-H\) curve is non-linear

  • Indicates \(\mu_r = B/\mu_0 H\) is not constant but it varies

  • \(\mu_r\) largely depends upon the \(B\)

Non-magnetic materialstraight line\(B \propto H\)
BH material
Bh Material
  • Non-magnetic material \(\rightarrow\) straight line \(\rightarrow\) \(B=\mu_0H\) \(\rightarrow\) \(B \propto H\)

SECTION 02

Magnetic Hysteresis

hysteresis loop
Hysteresis Loop
  • Phenomenon of flux density \(B\) lagging behind the magnetising force \(H\)

  • Hysteresis is the term derived from the Greek word hysterein meaning to lag behind

Hys Loop
hys loop
Hys Loop
  • When \(H\) is increased gradually by increasing \(I\) in the solenoid (by decreasing the value of \(R\)), the \(B\) also increases until saturation point a is reached and curve so obtained is oa.

  • If now \(H\) is gradually reduced to zero by decreasing \(I\) in the solenoid to zero, the \(B\) does not become zero and the curve so obtained is ab

  • When \(H\) is zero, the \(B\) still has value ob

Residual Magnetism and Retentivity

Residual Magnetism and Retentivity

  • \(B\) ob retained is called residual magnetism and the power of retaining this residual magnetism is called retentivity of the material

  • To demagnetise \(H\) reversed the direction of \(I\) in the solenoid.

  • achieved by changing the position of double pole, double throw switch (i.e., position ‘2’).

  • When H is increased in reverse direction, the \(B\) starts decreasing and becomes zero and curve follows the path bc.

  • Thus residual magnetism is wiped off by applying \(H\) oc in opposite direction

Coercive Force

Coercive Force

  • This value of \(H\) oc required to wipe off the residual magnetism is called coercive force

  • To complete the loop, the \(H\) is increased further in reverse direction till saturation reaches (point ‘d’) and the curve follows the path cd.

  • Again \(H\) is reduced to zero and the curve follows the path de.

  • Where oe represents the residual magnetism.

Key Concepts
  • Then H is increased in the positive direction by changing the position of reversible switch to position ‘1’ and increasing the flow of current in the solenoid.

  • The curve follows the path of efa and the loop is completed.

  • Again of is the magnetising force utilised to wipe off the residual magnetism oe.

  • Hence, cf is the total coercive force required in one cycle of magnetisation to wipe off the residual magnetism.

  • loop (abcdefa) so obtained is called hysteresis loop.