dynamic simulation of basic electric circuits and mach

7/27/2019 Dynamic Simulation of Basic Electric Circuits and Mach

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DRDO SponsoredTwo days National Workshop

Modern Power Simulation Tools MPST-10

Presented by

Lenin Prakash.S

Dynamic Simulation of Basic Electrical

Circuits using Matlab\Simulink


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Objectives Revisit System and Circuit Simulation

Describe how differential equation can be solvedusing Simulink

Simulating Basic electrical Circuits and Machines

using their Mathematical Model


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Contents

Introduction to Simulation using Mathematical Models

Solving a Differential Equation using Matlab\Simulink

Simulation of Basic Electrical Circuits

Simulation of PMDC MotorSimulation of DC Shunt Motor

Simulation of 3-Phase Induction Motor

References


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Expected Outcome Solve a differential equation using Matlab\Simulink

Simulate basic electric circuits and DC machine Learn to simulate all linear electrical circuits using

their mathematical models by applying the same

methodology


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Introduction to Simulation using

Mathematical Models


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In Broad 2 approaches are used in Simulating Electrical systems

Circuit Simulation

System Simulation

System Simulation Solving the differential equations representing the circuit

Solving the transfer function representing the circuit

State-Space Model approach

Solving Differential Equation

Most of the electric circuit can be represented by its equivalent lineardifferential and algebraic equations

All electrical machines as such (without drives) can be modeled into a

set of differential and algebraic equations Simulation of power electronic circuits involves solving non-linear

differential equation


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Solving a Differential Equation usingMatlab\Simulink


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ViR

dt

diL =+

L

iRV

dt

di = dt

L

iRVi

=

Differential Equation of a RL Circuit

Simulink Consists of different blocks for performing mathematical operations

To solve the above equation we need

Subtractor

Divider

Integrator

Constant (for representing V,R,L)

Simulink also Consist of a Fcn (function) block where the equation can be

written which involves more than one operator ( +,x etc..)


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Simulink Model for Solving a Differential Equation

Simulink Blocks used in this model are

Constant for representing V (O/p of this block is V)

Add/Subtractor for performing V-IR (O/p of this block is V-IR)

Fcn- for performing (ir and (v-IR)/L) (O/p of this block is di/dt)

The i/p of this block is considered as u

Integrator for integrating di/dt (O/p of this block is i)


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Simulation of Basic Electric Circuits1. RL Load fed by a DC Source

2. RC Load fed by a DC Source

3. RLC Load fed by a DC Source


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Simulation of RL load Fed by a DC source

V

R L

ViRdtdiL =+

i(t)

Simulink Model of RL Circuit


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Simulation of RC load Fed by a DC source

ViRdttiC =+

)(1V

R C

i(t)

Simulink Model of RC Circuit


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Simulation of RLC load Fed by a DC source

ViRdtdiLdtti

C =++)(1V

R C

i(t)

Simulink Model of RLC Circuit

L


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Simulation of PMDC Motor


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AI

sradrpmspeedloadnomKgJ

radsVk

mHL

loadnoa

T

AA

15.0

/1.3513350__.1006.1

/.1041.1

120

__

26

2

=

===

=

=

Typical parameters of a Dc shunt motor

rb

ae

r

r

Le

araaa

AA

kE

KiT

Bdt

djTT

VKridt

diL

=

=

++=

=++

M Va

Differential Equations of a PMDC Motor


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Simulink Model of PMDC Motor


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Simulation of DC Shunt Motor


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srad

I

mKgJ

VV

HL

R

L

HL

R

r

rateda

DC

AA

a

AF

FF

f

/7.127

2.16

.1

240

012.0

6.0

8.1

120

240

_

2

=

=

=

==

=

=

=

=

Typical parameters of a Dc shunt motor

rr

Le

fff

f

FF

arfAFaaa

AA

Bdt

djTT

Vri

dt

diL

ViLridt

diL

++=

=+

=++

MVa

Differential Equations of a Dc shunt motor


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Simulink Model of DC Shunt Motor


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Simulation of 3-Phase

Induction Motor


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Equivalent circuit of 3-Phase Induction Motor


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Differential Equations of 3-Phase Induction Motor

Flux Linkage

Equations


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Algebraic Equations of 3-Phase Induction Motor

Stator Current

Equations

Rotor Current

Equations

Torque/SpeedEquations


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Typical Parameters of a 3-Phase Induction Motor


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Block Diagram for Simulation of 3-Phase Induction

Machine in Arbitrary Reference Frame


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Simulink model of 3-Phase Induction Machine in

Arbitrary Reference Frame


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References

Analysis of electrical machinery and drives system- Paul C.Krause, Oleg

wasynczuk,Scott D.sudhoff


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Questions ?


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Thank You

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