Table 2 Relevant model parameters.

From: Study of repulsive permanent magnetic levitation mechanism and its dynamic characteristics

Parameter

Symbol

Value

Thickness of magnetic block

d

20 mm

Length of vehicle magnet

l

100 mm

Unit magnetic block width

w

12 mm

Residual magnetism

Br

1.35 T

Space permeability

μ0

4π × 10-7H/m

Relative permeability

μr

1

Coercivity

Hc

980KA/m

Unit wavelength Number of magnetic blocks

n

4

Proportional correction factor

\(k_{1}\)

0.04935

Exponential correction factor

\(k_{2}\)

0.4424

vertical damping

\(c_{1}\)

654.1872 kg/s

Pitch motion damping

\(c_{2}\)

676.4173 kg.m2/s

Sway motion damping

\(c_{3}\)

733.8691 kg.m2/s

Moment of inertia (X-axis)

Jα

5.9199

Moment of inertia (Y-axis)

Jβ

2.1441

Weight

m

64.379 kg

Balancing air gap

Z0

27.23 mm

Distance between magnetic poles 1 (3) and 2 (4)

a

300 mm

Distance between magnetic poles 2(1) and 3(4)

b

185 mm