Transcript Inductor

Presented By :
140023119089
140023119091
140023119092
NARENDRA LUHAR
ABHISHEKH MEHATA
ABHIJEET PANCHAL
Modeling of electrical system
• Electrical circuits involving resistors, capacitors
and inductors are considered. The behavior of such
systems is governed by Ohm‘s law and Kirchhoff‘s
laws.
• Resistor:
Consider a resistance of ‘R‘ carrying current
‘I‘ Amps as shown in Fig (a), then the voltage drop
across it is v = R I
Inductor:
Consider an inductor “L‘ H carrying
current ‘I‘ Amps as shown in Fig (a),
then the voltage drop across it can be
written as
Capacitor:
Consider a capacitor “C‘ F carrying
current “I‘ Amps as shown in Fig (a),
then the voltage drop across it can be
written as
ELECTRICAL-MECHANICAL
ANALOGIES
•
A signal , element , system which exhibits
Mathematical behavior identical to that of another, but
physically different ,signal element , or system is
called an analogous quantity or analog.
Analogous quantities:
force = voltage
velocity =current
displacement = charge
damper = resister
spring = capacitor
mass = inductor
•
Force causes voltage, but voltage causes current.
•
A damper dissipate mechanical energy into
heat ,as a resister dissipate electrical energy into heat
•
Springs and masses stores energy in two
different ways , just as capacitor and inductor stores
energy in two different ways.
Steps for modeling of electrical
system
•
Apply Kirchhoff‘s voltage law or Kirchhoff‘s
current law to form the differential equations
describing electrical circuits comprising of resistors,
capacitors, and inductors.
•
Form Transfer Functions from the describing
differential equations.
•
Then simulate the model
Let us consider a mechanical (both
translational and rotational) and electrical
system as shown in the
fig.
Problem
Find the system equation for system shown in the fig. And
also determine f-v and f-i analogies
From fig. we know that M1 , K1 and B1 are
under the displacement x1.Similarly M2 ,K3 and B2
are under the displacement x2. K2 is between x1 and
x2 . Hence the equivalent mechanical system is as
shown in fig.