In this part covered force voltage analogy.

1. Subject :Control Engineering (2151908)
Topic: Force Voltage Analogy
GANDHINAGAR INSTITUTE
OF TECHNOLOGY(012)

2. Content
• Introduction
• Force-Voltage analogy
• Transition System
• Rotational System

3. Introduction
There are two main Electrical analogous system:
1.Force-Voltage analogy
2.Force-Current analogy
Now that we have discussed mechanical system as well
as electrical system. It is worth nothing that exists a
analogy-similarity in their equations.
According to Newton’s law. The applied force will be
used up to cause displacement in the spring.
Acceleration to the mass against the friction force.

4. • According to Newton’s law. The applied force will be
used up to cause displacement in the spring.
Acceleration to the mass against the friction force.
• Apply Laplace Transform we get:
• r(t)= Ms2
Y(S) + s b(s) Y(s) + K X(s)
• This equation is called equilibrium equation of the
Mechanical system.
M
2
t
y t( )
d
d
2
⋅ b
t
y t( )
d
d
⋅+ k y t( )⋅+ r t( )
Force-Voltage analogy

5. The force is analogus to voltage
•v(t) = Ri +L + . dt
put i=
v(t) = R + L + q

6. Force Voltage Analogy

7. • Standard Equation for a Transition system is,
• The following analogies
– r -V
– M - L
– b - R
– k - 1/c
– y -Q
M
2
t
y t( )
d
d
2
⋅ b
t
y t( )
d
d
⋅+ k y t( )⋅+ r t( )

8. • Standard equation for a Rotational system is
T = J (d2
φ/dt2
) B . (dφ/dt)K φ
• The following analogies
– T – I
– J – C
– B – 1/R
– K – 1/L
– Φ – Q