Design of a Non-linear Observer for VSI Fed Synchronous Motor
This paper discusses two observers, which are used
for the estimation of parameters of PMSM. Former one, reduced
order observer, which is used to estimate the inaccessible parameters
of PMSM. Later one, full order observer, which is used to estimate
all the parameters of PMSM even though some of the parameters are
directly available for measurement, so as to meet with the
insensitivity to the parameter variation. However, the state space
model contains some nonlinear terms i.e. the product of different
state variables. The asymptotic state observer, which approximately
reconstructs the state vector for linear systems without uncertainties,
was presented by Luenberger. In this work, a modified form of such
an observer is used by including a non-linear term involving the
speed. So, both the observers are designed in the framework of
nonlinear control; their stability and rate of convergence is discussed.
[1] K. Alice Mary, ÔÇÿSpeed Control of An SPWM inverter Driven Non Linear
PMSM Drive with Pole Placement Technique-11-, IEEE International
conference on Electrical energy systems and power electronics in
emerging economics ICEESPEEE 2009. SRM University, Chennai 16-17
April 2009 413-417
[2] K. Alice Mary, ÔÇÿDesign performance of the speed control systems for
inverter driven Nonlinear Permanent magnet synchronous motor using
exact feedback linearization-, 1st international conference on computer
communications, control and information technology",06-07-feb2009
[3] P. S. Bimbra, ÔÇÿGeneralized theory of Electrical machines-, Khanna
Publishers.
[4] Paul C. Krause, ÔÇÿAnalysis of Electrical Machinery and drive systems-, 2nd
edition, Wiley Inter science A John wiley and sons; INC Publications.
[5] R. Krishnan, ÔÇÿElectric motor drives: Modeling analysis and control-,
Prentice Hall, 2001 edition.
[6] Noureddine Guersi, Messaoud Fjeghaba and Messaoud Ramdani,
ÔÇÿComparative analysis of intelligent controllers for permanent magnet
synchronous motor drive systems, Asian journal of Information
Technology, Medwell journals, 2007.
[7] Pragasen Pillay and Ramu Krishnan, ÔÇÿModelling, simulation and analysis
of Permanent magnet motor drives, part-1: The permanent magnet
synchronous motor drive, IEEE transactions, March/April 1989.
[8] S. Vaez-Zadeh, ÔÇÿHigh performance Control of Permanent Magnet
Synchronous Motors-, Tutorial Proposal for MED 2007 Conference.
[9] Mihai Comanescu, ÔÇÿReduced order observers for Rotor Position
Estimation of Nonsalient PMSM-, IEEE transactions, 2009.
[10] Jorge A. Solsona and Maria I, ÔÇÿA Nonlinear Reduced Order Observer for
Permanent Magnet Synchronous Motors-, IEEE transactions, 2006.
[11] A. B .Dehkordi and M. Gole, ÔÇÿPermanent Magnet Synchronous Machine
Model for real time simulation-, International conference on power
systems transients, June 19-23, 2005.
[12] Joseph O. Ojo and Thomas A. Lipo, ÔÇÿAn Improved Model for Saturated
Salient Pole synchronous motors- Wisconsin Electric Machines and
Power Electronics Consortium-, January 1988.
[13] Khwaja M. Rahman and Silva Hiti, ÔÇÿIdentification of Machine parameters
of a Synchronous Motor-, IEEE transactions, 2003
[14] P. Brandstetter, P. Rech, and P. Simonik, ÔÇÿSensorless Control of
Permanent Magnet Synchronous Motor Using Luenberger Observer-,
PIERS Proceedings, Cambridge, USA, July 5-8, 2010.
[15] Pradeep K. Nandam, and Paresh C. Sen, ÔÇÿA Comparative Study of a
Luenberger Observer and Adaptive Observer-Based Variable Structure
Speed Control System Using a Self-Controlled Synchronous Motor-,
IEEE transactions on industrial electronics, APRIL 1990.
[16] Joohn-,Sheok Kim and Seung-,Ki SUI, ÔÇÿHigh Performance PMSM Drives
without Rotational Position Sensors Using Reduced Order Observer-,
IEEE transactions, 1995.
[17] Jorge A. Solsona and Maria I, ÔÇÿDisturbance and Nonlinear Luenberger
Observers for Estimating Mechanical Variables in Permanent Magnet
Synchronous Motors Under Mechanical Parameters Uncertainties-, IEEE
transactions, August 2003.
[18] Hyungbo Shim and Laurent Praly, ÔÇÿRemarks on equivalence between full
order and reduced order nonlinear observers-, Conference on Decision
and Control, December 2003.
[19] Fanglai Zhu, ÔÇÿThe Design of Full-order and Reduced-order Adaptive
Observers for Nonlinear Systems-, IEEE International Conference on
Control and Automation, June 2007.
[20] K. Alice Mary, A. Patra, N. K. De, ÔÇÿA Generalized Approach to the
Design of the Speed Control system for Inverter-Driven Permanent
Magnet Synchronous Motor-, IET-UK International Conference on
Information and Communication Technology in Electrical Sciences
(ICTES 2007), Dr. M.G.R. University, Chennai, Tamil Nadu, India. Dec.
20-22, 2007.
[21] Mihai Comanescu and Todd D. Batzel, ÔÇÿFull Order EMF Observer for
PMSM Design, Analysis and Performance under Improper Speed Signal-,
IEEE transactions, 2010.
[22] C. Elmas and H.Zelaya-De La Parra, ÔÇÿApplication of a full-order
extended Luenberger observer for a position sensor less operation of a
switched reluctance motor drive-, IEEE transactions, September 1996.
[23] George Ellis, ÔÇÿObservers in Control Systems-, Academic press, 2002.
[1] K. Alice Mary, ÔÇÿSpeed Control of An SPWM inverter Driven Non Linear
PMSM Drive with Pole Placement Technique-11-, IEEE International
conference on Electrical energy systems and power electronics in
emerging economics ICEESPEEE 2009. SRM University, Chennai 16-17
April 2009 413-417
[2] K. Alice Mary, ÔÇÿDesign performance of the speed control systems for
inverter driven Nonlinear Permanent magnet synchronous motor using
exact feedback linearization-, 1st international conference on computer
communications, control and information technology",06-07-feb2009
[3] P. S. Bimbra, ÔÇÿGeneralized theory of Electrical machines-, Khanna
Publishers.
[4] Paul C. Krause, ÔÇÿAnalysis of Electrical Machinery and drive systems-, 2nd
edition, Wiley Inter science A John wiley and sons; INC Publications.
[5] R. Krishnan, ÔÇÿElectric motor drives: Modeling analysis and control-,
Prentice Hall, 2001 edition.
[6] Noureddine Guersi, Messaoud Fjeghaba and Messaoud Ramdani,
ÔÇÿComparative analysis of intelligent controllers for permanent magnet
synchronous motor drive systems, Asian journal of Information
Technology, Medwell journals, 2007.
[7] Pragasen Pillay and Ramu Krishnan, ÔÇÿModelling, simulation and analysis
of Permanent magnet motor drives, part-1: The permanent magnet
synchronous motor drive, IEEE transactions, March/April 1989.
[8] S. Vaez-Zadeh, ÔÇÿHigh performance Control of Permanent Magnet
Synchronous Motors-, Tutorial Proposal for MED 2007 Conference.
[9] Mihai Comanescu, ÔÇÿReduced order observers for Rotor Position
Estimation of Nonsalient PMSM-, IEEE transactions, 2009.
[10] Jorge A. Solsona and Maria I, ÔÇÿA Nonlinear Reduced Order Observer for
Permanent Magnet Synchronous Motors-, IEEE transactions, 2006.
[11] A. B .Dehkordi and M. Gole, ÔÇÿPermanent Magnet Synchronous Machine
Model for real time simulation-, International conference on power
systems transients, June 19-23, 2005.
[12] Joseph O. Ojo and Thomas A. Lipo, ÔÇÿAn Improved Model for Saturated
Salient Pole synchronous motors- Wisconsin Electric Machines and
Power Electronics Consortium-, January 1988.
[13] Khwaja M. Rahman and Silva Hiti, ÔÇÿIdentification of Machine parameters
of a Synchronous Motor-, IEEE transactions, 2003
[14] P. Brandstetter, P. Rech, and P. Simonik, ÔÇÿSensorless Control of
Permanent Magnet Synchronous Motor Using Luenberger Observer-,
PIERS Proceedings, Cambridge, USA, July 5-8, 2010.
[15] Pradeep K. Nandam, and Paresh C. Sen, ÔÇÿA Comparative Study of a
Luenberger Observer and Adaptive Observer-Based Variable Structure
Speed Control System Using a Self-Controlled Synchronous Motor-,
IEEE transactions on industrial electronics, APRIL 1990.
[16] Joohn-,Sheok Kim and Seung-,Ki SUI, ÔÇÿHigh Performance PMSM Drives
without Rotational Position Sensors Using Reduced Order Observer-,
IEEE transactions, 1995.
[17] Jorge A. Solsona and Maria I, ÔÇÿDisturbance and Nonlinear Luenberger
Observers for Estimating Mechanical Variables in Permanent Magnet
Synchronous Motors Under Mechanical Parameters Uncertainties-, IEEE
transactions, August 2003.
[18] Hyungbo Shim and Laurent Praly, ÔÇÿRemarks on equivalence between full
order and reduced order nonlinear observers-, Conference on Decision
and Control, December 2003.
[19] Fanglai Zhu, ÔÇÿThe Design of Full-order and Reduced-order Adaptive
Observers for Nonlinear Systems-, IEEE International Conference on
Control and Automation, June 2007.
[20] K. Alice Mary, A. Patra, N. K. De, ÔÇÿA Generalized Approach to the
Design of the Speed Control system for Inverter-Driven Permanent
Magnet Synchronous Motor-, IET-UK International Conference on
Information and Communication Technology in Electrical Sciences
(ICTES 2007), Dr. M.G.R. University, Chennai, Tamil Nadu, India. Dec.
20-22, 2007.
[21] Mihai Comanescu and Todd D. Batzel, ÔÇÿFull Order EMF Observer for
PMSM Design, Analysis and Performance under Improper Speed Signal-,
IEEE transactions, 2010.
[22] C. Elmas and H.Zelaya-De La Parra, ÔÇÿApplication of a full-order
extended Luenberger observer for a position sensor less operation of a
switched reluctance motor drive-, IEEE transactions, September 1996.
[23] George Ellis, ÔÇÿObservers in Control Systems-, Academic press, 2002.
@article{"International Journal of Information, Control and Computer Sciences:52518", author = "P. Ramana and K. Alice Mary and M. Surya Kalavathi and M. Phani Kumar", title = "Design of a Non-linear Observer for VSI Fed Synchronous Motor", abstract = "This paper discusses two observers, which are used
for the estimation of parameters of PMSM. Former one, reduced
order observer, which is used to estimate the inaccessible parameters
of PMSM. Later one, full order observer, which is used to estimate
all the parameters of PMSM even though some of the parameters are
directly available for measurement, so as to meet with the
insensitivity to the parameter variation. However, the state space
model contains some nonlinear terms i.e. the product of different
state variables. The asymptotic state observer, which approximately
reconstructs the state vector for linear systems without uncertainties,
was presented by Luenberger. In this work, a modified form of such
an observer is used by including a non-linear term involving the
speed. So, both the observers are designed in the framework of
nonlinear control; their stability and rate of convergence is discussed.", keywords = "Permanent magnet synchronous motor, Mathematicalmodelling, Rotor reference frame, parameter estimation, Luenbergerobserver, reduced order observer, full order observer", volume = "5", number = "8", pages = "855-4", }
