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lqr control of dc motor

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Technical Challenges And Advances Of Inductive Wireless Power Transmission

CSD PRESENTATION1DC MOTOR CONTROLFOR REDUCING SENSITIVTY TO LOAD DISTURBANCESPresented by -Saurabh mishra-14094301 (pESC)

CONTENTSCSD PRESENTATION2IntroductionObjectiveBoiler PlantModel Of The BoilerFuzzy LogicSimulation ResultsConclusionReferencesINTRODUCTIONCSD PRESENTATION3DC motors are the important machine in many control systems such as domestic electrical systems, vehicles, trains and process control.

It is well represented in the mathematical model as a crucial aspect for a control system design.

DC motor provide excellent control of speed for acceleration and deceleration.

Here we design of different control schemes for DC motor at steps which included speed characteristic of the DC motor structure and the mathematical model and simulation of stability response for speed control of DC motor control system.OBJECTIVECSD PRESENTATION4Control of Dc motor speed from different methods.

To make the DC motor Less sensitivity to the load disturbances.

To compare the results of different Controlling Technique

MODELLING OF DC MOTORCSD PRESENTATION5Electrical equation:By applying KVL By applying Laplace transformation, armature current is given byMechanical equation:Applying kvl ,

By applying laplace transformation,Js2(s)+bs(s)=KI(s)

L

.

MODELLING OF DC MOTOR CONT.CSD PRESENTATION6

Simplified Model of DC motor CONTROLLING SCHEMESCSD PRESENTATION7Here we are using three major techniques for tracking set point commands and and suppressing sensitivity of load disturbances, they are

1.Feed Forward Control2.Integral Feedback Control3.LQR regulation

FEEDFORWARD CONTROLCSD PRESENTATION8It is open loop controlling techinque.

Here in this technique we cascade the DC model with a constant gain Kff Where kff is reciprocal of dcgain of DC model.

Fig.3 Block Diagram FeedForward ControllerFEEDFORWARD CONTROLCSD PRESENTATION9

Fig.4 simulink model

Fig.5 Experimental ResultINTEGRAL FEEDBACK CONTROLLERCSD PRESENTATION10It is a closed loop controlling technique, where output signal is fed to input.The change in input signal and output signal is fed to pi controller.Here the value of k is caluculated from rootlocus for a z value 0.7,

Fig.6 Block Diagram of Feed forward controllerINTEGRAL FEEDBACK CONTROLLERCSD PRESENTATION11

Fig.7 Simulink ModelFig.8 Experimental ResultLQR ControlCSD PRESENTATION12Linear quadratic Regulator Control is the state space analysis.It is an optimal and robust technique for Multi Input Multi Output (MIMO)control.

LQR controller always tries to minimize the performance index and provide the optimised result

LQR contdCSD PRESENTATION13The performance index is

using

Linear solution we are getting in form of u=-Kx where K we will find from the equation

LQR Contd.CSD PRESENTATION14It is also closed loop controlling technique.Similar to PI controller here in LQR uses integral error in addition to that it uses state vector x(i,w). where i is armature current.Here the LQR gain is calculated using Matlab.Va=K1w/s+K2w+k3Ia

Fig.9 Block Diagram of LQRLQR Contd. CSD PRESENTATION15

Fig.10 Simulink Model

Fig.11 Experimental ResultCOMPARISIONSCSD PRESENTATION16

Fig.11 Comparing Three Controlling SchemesCONCLUSIONCSD PRESENTATION17LQR control reduces the motor sensitivity to load disturbances significantly LQR control is mainly focused for Industry purpose because it is an cost efficient method

LQR control is used where improved control of motor speed is required.

REFERNCESCSD PRESENTATION18www.mathworks.in

Norman and Nise.6th ED.

Santana, J., J.L. Naredo, F. Sandoval, I. Grout and O.J. Argueta, 2002. Simulation and Construction of Speed

Abdulrahman, A.A. Emhemed and Rosbi Bin Mamat, 2012. Modelling and Simulation for Industrial DC Motor

CSD PRESENTATION19THANK YOU