ABOUT DYNAMIC STABILITY OF HIGH POWER SYNCHRONOUS MACHINE. A REVIEW
|
|
- Kerry Miles
- 5 years ago
- Views:
Transcription
1 Rev. Roum. Sci. Techn. Électrotechn. et Énerg. Vol. 62, 1, pp. 8 13, Bucarest, 217 Dedicated to the memory of Academician Toma Dordea ABOUT DYNAMIC STABILITY OF HIGH POWER SYNCHRONOUS MACHINE. A REVIEW AUREL CAMPEANU 1, RADU MUNTEANU 2, VASILE IANCU 2 Key words: Synchronous machine, Dynamic stability, Simulation. There is analyzed in details the complicated process on which the dynamic stability of a high power synchronous machine (HPSM) depends. There is pointed out the necessity to use dynamic angular characteristics in the stability analysis and the fact that the speed of rotating magnetic field can be widely variable, beyond the operation in synchronism. It is shown that there is an infinity of dynamic angular characteristics and that mathematical models are an efficient and fast way to respond if a given disturbance of a steady state synchronous operation leads or not to loosing synchronism. 1. INTRODUCTION Heavy electromagnetic systems and their interconnecting make possible using HPSM in modern complex driving systems frequently present in industry of cement, petroleum etc. High investments of intelligence and materials have been carried out for analyzing the dynamic behaviour of HPSM. Advanced mathematical models have been conceived [1 11] which take into consideration the fundamental processes inside the machine, as processes conditioned by saturation and magnetic asymmetry. In [1 9] there is pointed out in details that establishing mathematical models must take into account the constructive solution and the power of the synchronous machine. On this basis, modelling is able to pre-establish, with a precision acceptable in practice, the dynamic evolution, in all respect, of HPSM and of the entire system in which it is incorporated. This paper is addressed to the detailed analysis, with mathematical models specific to salient pole HPSM, of the factors conditioning dynamic stability; there are evoked the effects caused by electromagnetic and mechanic inertia, generally important. 2. MATHEMATICAL MODEL The mathematical model of the synchronous machine accounting for the main flux saturation is used in the form [1, 3, 5, 6] and others. dx A + BX = [ u] [] u = [ ud uq ue ]T. (1) dt State variables may be chosen currents only, flux linkages only or a combination of currents and flux linkages, leading to different form of vector X and the matrices A, B. In the following a hybrid mathematical model, valid for a high power synchronous machine with magnetic asymmetry, is used. It is considered that is, ie, ψ are state variables. m To the state vector X = [ i i i ψ ψ ] T (2) d q E md corespond the matrices (see [9]) mq Lsσ A = LDσ Rs ωlsσ B = RD Lsσ LQσ ωlsσ Rs RQ RE RD LEσ LDσ ω RD Lmd 1 1 L 1+ Dσ Lmdt LQσ 1+ Lmq ω RQ Lmq. 1 The motion equation is added J dω 3 m M r =, m = p( ψdiq ψqid ). (4) p dt 2 (3) In (1) u d, u q, u E stator windings voltages in Park coordinates and excitation winding voltage, E; in (2) i d, i q ψ md, ψ mq components of stator current vector i s and of the magnetizing flux vector ψ by d, q axes; i E current of m the excitation winding; in (3) R s and R D, R Q are the stator and rotor resistances; L md, L mq are the stator d and q axis cyclic magnetizing inductances, L mdt is the stator d axe differential inductance; index σ is attached to leakage inductances; ω is the electrical speed of the rotor; in (4) m, M r, J, p are electromagnetic torque, load torque, inertia moment and number of poles pairs. All the notations are widely used [1 2, 4, 6 7] and others. Equations (1 4) fully describe the dynamic behaviour of the synchronous machine. We point out that in particular cases, mathematical models of synchronous machine can be based on general equations of induction machine [12, 13, 15]. In [14] there are justified research efforts for using efficiently electrical machines, especially high power machines. 1 University of Craiova, 17 Decebal Street, Craiova, 244, acampeanu@em.ucv.ro 2 Technical University of Cluj Napoca
2 2 Dynamic stability of high power synchronous machine 9 3. SIMULATION RESULTS The simulations aim at pointing out explicitly the factors conditioning the dynamic stability of a 8 kw synchronous motor having the parameters mentioned in the annex. With specific mathematical model (1 4) the following dynamic processes are analyzed. The motor is started and synchronized with a loading torque M r =, when as a rule, a synchronous operation is reached. Finally after resynchronization (after the dynamic process determined by excitation current is stabilized), the motor in loaded with a given M r. In this paper there are analyzed only dynamic processes (dynamic stability) caused by the simultaneous presence, M r, i E. We denote by a and b the intervals before and after connection of excitation winding to dc source, and by 1 and 2 the begin and respectively the end of dynamic process determined by this connection. In the following the dynamic processes from the zones a, b are supposed known [16]; point 2 corresponds to a synchronism operation and the time t 1, to applying M r. In zone c for t > t 1, the dynamic stability of the synchronous machine is analyzed; if the synchronism is finally reached, the end of the dynamic regime is Let us consider, U = U n = 5 V, M r = Nm, u E = 2.1 V, t 1 = 23 s. Figure 1a presents the dynamic angular characteristic in the zone c corresponding to given i E, M r. There results a tight connection between the rotor oscillations and mechanical stresses and, very important, the fact that the dynamic process l is finalized in the point 3. In the figure there also is plotted the static angular characteristics m(θ) for considered u E. It is noticed that the point 3 of the dynamic characteristic is plotted very precisely on the static characteristic. This comes to confirm mutually the two characteristics and to emphasize the necessity to consider a covering time for defining correctly the point 3. In Fig. 1b, by using the same static characteristic, there have been plotted the dynamic characteristics corresponding to some torque shocks from zero to Nm and from Nm to Nm; they are obviously different from the static characteristic. It is noticed that the final points 3 are also placed precisely on the static characteristic. It results that the dynamic stability of the motor is ensured if M r = Nm is applied Let us consider M r = Nm. The other initial conditions are from 3.1. The beginning of the zone c records the electromechanical shock and a synchronous operation until t 7 s is apparently established; beyond this, an asynchronous operation occurs, with major electromagnetic and mechanic oscillations and with rotor speed around the synchronism speed. Fig. 1a M r = Nm. Fig. 2a Detail zone c. Fig. 1b M r = ( ) Nm; (2 1 4 Nm); (4 1 4 Nm). Figs. 1 Dynamic and static characteristics m(θ), M r = Nm. Fig. 2b Detail zone c d. Figs. 2 Characteristics ω(t), ω ψ (t), M r = Nm.
3 1 Aurel Campeanu, Radu Munteanu, Vasile Iancu 3 The processes develop cyclically and there can be defined close curves with two branches (limit cycles), which point out that the machine is excited. It results that the dynamic stability, is not ensured for u E = 2.1 V. At t 2 = 114 s, u E = 3V, is applied and after other large electromechanical oscillations, the synchronization is reached. The zone d is considered corresponding to t > 114 s and there the points from t 2 = 114 s, respectively from the synchronization final are noted with 4, 5. In Fig. 2 there are plotted together the characteristics ω(t), ω ψ (t) for the zones c, d. Figure 2a details the zone c, with over and sub-synchronous oscillations of ω, ω ψ (electrical speed of the main rotating magnetic field), immediately subsequent to t 1 = 23 s; in the figure there follow the relatively large interval of practically synchronous operation and 3 identical complex oscillations, also over and sub-synchronous. Each of these complex oscillations has two branches of important amplitudes, especially for ω, which correspond to a quasi steady-state asynchronous operation (to a consecutive operation on limit cycle). In Fig. 2b the interference zone c, d is detailed, resulting a tight interdependence of the curves ω, ω ψ and passing to a synchronous operation. It also results that the time t 2 = 114 s is unfavourable because the synchronization process is carried out with difficulty, with large oscillations of ω, ω ψ. Fig. 3c m(ω) detail zone d. Fig. 3d m(θ) detail limit cycle. Fig. 3a m(t) detail zone c. Fig. 3e m(θ) detail zone d. Figs. 3 Characteristics m(t), m(ω), m(θ), M r = Nm. Fig. 3b m(ω) detail limit cycle. In Fig. 3 there are plotted the characteristics m(t), m(ω), m(θ) in the zones c, d. The characteristic m(t) from the zone c (Fig. 3a) is fully justified by Figure 2a. In Fig. 3b there is plotted the characteristic m(ω) on the limit cycle with two branches, corresponding to asynchronous operation; there are determined the variation limits of the electromagnetic torque, the motor speed and the correspondence of the maximum values of torque with the values from Fig. 3a.
4 4 Dynamic stability of high power synchronous machine 11 Figure 3c details leaving the limit cycle m(ω) in the point 4 and passing to synchronous operation (curve d). Figures 3d, 3e repeat the characteristics 3b, 3c in m(θ) coordinates. There are re-confirmed the two branches of the limit cycle and the extreme values of the dynamic electro-magnetic torque. Figure 3e, as well as Fig. 3c shows a difficult synchronization (curve d which has the initial point in 4 and the final point in 5 on the static characteristic corresponding to u E = 3 V. The results from Figs. 3c, 3e confirm the comments regarding the unfavourable timer t 2 = 114 s. Observation. If the excitation u E = 3 V is applied (as for M r = Nm) previously to the time t 1 = 23 s, the synchronization process is carried out directly according to the dynamic and static characteristics m(θ) from Fig. 4 intersected in the point Let us consider M r = Nm. The other initial conditions are those from 3.1. In conditions u E = 2.1 V when M r = Nm is applied, there is established again, subsequently to the shock, apparently, a synchronous operation which finally, after a shorter time than previous analysis, turns into an asynchronous operation marked as above, but with sub-synchronous oscillation of ω. Figure 5 plots together the characteristics ω, ω ψ in the zone c where the observations presented before are valid regarding the sub-synchronous oscillations of ω. Fig. 6a m(ω) details zone a, b, c. Fig. 4 Dynamic and static characteristics m(θ), M r = Nm. Fig. 6b m(ω) detail limit cycle 1, limit cycle 2. Synchronization is not possible anymore even for an excitation voltage u E = 8V sensitively higher than in 3.2; the zone d is characterized by an oscillating asynchronous operation, with more important electromagnetic and mechanical oscillations. In this analysis the zone (23 5 s) is the zone c; beyond 5 s there is the zone d. Fig. 6c m(θ) detail limit cycle 1, limit cycle 2. Figs. 6 Characteristics m(ω), m(θ), M r = Nm. Fig. 5 Characteristics ω(t), ω ψ (t), M r = Nm detail zone c. Figure 6 plots the characteristics m(ω), m(θ). Figure 6a also emphasizes the adjacent zones a, b: the final of the zone a, in the point 1; the zone b, insignificant, corresponding to an excitation of u E = 2.1 V, finalized in the point 2 practically
5 12 Aurel Campeanu, Radu Munteanu, Vasile Iancu 5 overlapped to 1; the zone c, in which after oscillations around the synchronism speed, the permanent oscillating asynchronous operation is reached (limit cycle 1, u E = 2.1 V); the zone d which passes, through oscillations, towards a new permanent oscillating operation (limit cycle 2, u E = 8 V). In Figs. 6b, 6c there are detailed, for clarity, the two limit cycles in coordinated m(ω), m(θ) and passing from a cycle to another; in Fig. 6c there is plotted the dynamic process starting from the point 2. Observations. If a slightly increased excitation u E = 4 V is applied, as before, previously to the time t 1 = 23 s, the synchronization process is carried out directly according to the static and dynamic characteristics m(θ) from Figure 7 intersected in the point Considering magnetic stresses. In all the dynamic processes analyzed before, the magnetic stresses vary between large limits. For exemplification in Figs. 8a, 8b there are plotted the characteristics of the inductances of L md (t), L mdt (t) for all the zones from the analyzed dynamic process which end with M r = Nm. It results that for valuable results, the mathematical models must take these major evolutions into consideration. 4. CONCLUSIONS Fig. 7 Dynamic and static characteristics m(θ), M r = Nm. Fig. 8a L md (t). The main goal of the paper is the analysis of dynamic stability of synchronous machine, particularly of high power synchronous machine. From those presented before it clearly results that in analysis of dynamic stability there must be necessarily taken into account the afferent dynamic angular characteristics, which are generally structurally different, from static angular characteristics. Passing from an oscillating synchronous operation to a synchronous operation by increasing the excitation winding voltage, is only possible if the asynchronous oscillations are around the synchronism speed. Otherwise, these oscillations are amplified, with all the consequences presented before; when mechanical oscillations occur, the speed of the rotating magnetic field ω ψ can vary between large limits too. As a mathematical tool, the mathematical model adequate to the considered synchronous machine must be taken into account. The mathematical model provides an immediate and detailed response for complex problems of dynamic stability. In case of HPSM, consequently to important electromagnetic and mechanical inertia, there must be considered enough times t i for each disturbance of the steady-state process. In general, mathematical models considering magnetic saturation and its dynamic variation, as well as the magnetic and electric asymmetry provide accurately valuable results, in a range of admissible errors and practically they are compulsory in the design stage as well as in anticipating the behaviour of a built machine, operating in a given dynamic process. APPENDIX Fig. 8b L mdt (t). Figs. 8 Characteristics L md (t), L mdt (t) for M r = Nm. The motor rated values are U = 2,887/5, V, P = 8, kw, n = 1,5 r.p.m., f = 5 Hz. The motor parameters are: R s = Ω, L sσ = H, L Eσ = H, L Dσ = H, 3 Q σ = H L, R E = Ω, R D = Ω, R Q = Ω, J = 616 kg m 2. The saturation characteristic is imd f ( imd ) = arctan
6 6 Dynamic stability of high power synchronous machine 13 Received on November 9, 216 REFERENCES 1. E. Levi, Saturation modeling in D-Q axis models of salient pole synchronous machines, IEEE Trans. on Energy Conversion, 14, 1, pp. 44 5, S.A. Tahan, I. Kamwa, A Two-factor saturation model for synchronous machines with multiple rotor circuits, IEEE Trans. on Energy Conversion, 1, 4, pp , I. Iglesias, L. Garcia Tabares, I. Tamaret, A., D-Q Model for the Self Comutated Synchronous Machine Considering the Effect of Magnetic Saturation, IEEE Trans. on Energy Conversion, 7, 4, pp , I. Boldea, S.A. Nasal, Unified Treatment of Losses and Saturation in the Ortogonal Axis Model of Electric Machines, IEEE Proceedings, 1, 6, pp. 134B, T. Dordea, Beitrag zur Zweeiachsentheorie der Elektrischen Maaschinen, Archiv fur Elektrotechnik, 5, 6, pp , T. Dordea, R. Munteanu, A. Campeanu, Using the Circuit Theory to Derive Matematical Models of AC Machines. A Review, Proc. Advanced Topics in Electrical Enginering ATEE, Bucharest, A. Campeanu, I. Cautil., M. Nicolaescu, T.Cîmpeanu, The effect of magnetic asimmetri on the behavior of the synchronous machine in dynamic regime, Proc. International Conference on Electrical Machines ICEM, Vilamoura, I. Holz, The reprezentation of AC machines dynamics by complex signal flow graph, IEEE Trans. Ind. Electron., 42, pp , A. Campeanu, Nonlinear dynamical models of saturated salient pole synchronous machine, Rev. Roum. Sci. Techn. Electrotechn. et Energ., 46, 1, pp , A. Campeanu, M. Stiebler, Modeling and Simulation of Dynamical Processes in High Power Salient Pole Synchronous Machines, Rev. Roum. Sci. Techn. Electrotechn. et Energ., 56, 2, pp , M. Stiebler, A Campeaanu, Simulation of Saturation in Salient Pole Synchronous Machines, Proc. International Conference on Electrical Machines ICEM, Rome, M. Mihalache, Eqivalent circuit parameters and operating performances of three-phase asynchronous motors, Rev. Roum. Sci. Techn. Electrotechn. et Energ., 55, 1, pp , N. Galan, G. Ciumbulea, Mathematical models and electrical equivalent schemes of the induction motor, Rev. Roum. Sci. Techn. Electrotechn. et Energ., 53, 2, pp , T. Dordea, A. Campeanu, The Necessity for Increasing Electrical Machines Efficiency, WEC Regional Energy Forum Forem 24, Code S 5-2, Neptun. 15. A. Campeanu, Transient performance of the saturated induction machine, Electrical, Engineering (Archiv fur Elektrotechnik), 78, 4, pp , A. Campeanu, I. Vlad, S. Enache, G. Liuba, L. Augustinov, I. Cautil, Simulation of Asynchronous operation in High Power Salient Pole Synchronous Machines, Proc. International Conference on Electrical Machines ICEM, Marseille, 212.
DYNAMIC PERFORMANCE OF RELUCTANCE SYNCHRONOUS MACHINES
Annals of the University of Craiova, Electrical Engineering series, No 33, 9; ISSN 184-485 7 TH INTERNATIONAL CONFERENCE ON ELECTROMECHANICAL AN POWER SYSTEMS October 8-9, 9 - Iaşi, Romania YNAMIC PERFORMANCE
More informationSynergetic Control for Electromechanical Systems
Synergetic Control for Electromechanical Systems Anatoly A. Kolesnikov, Roger Dougal, Guennady E. Veselov, Andrey N. Popov, Alexander A. Kolesnikov Taganrog State University of Radio-Engineering Automatic
More informationDynamics of the synchronous machine
ELEC0047 - Power system dynamics, control and stability Dynamics of the synchronous machine Thierry Van Cutsem t.vancutsem@ulg.ac.be www.montefiore.ulg.ac.be/~vct October 2018 1 / 38 Time constants and
More informationINDUCTION MOTOR MODEL AND PARAMETERS
APPENDIX C INDUCTION MOTOR MODEL AND PARAMETERS C.1 Dynamic Model of the Induction Motor in Stationary Reference Frame A three phase induction machine can be represented by an equivalent two phase machine
More informationMATLAB SIMULINK Based DQ Modeling and Dynamic Characteristics of Three Phase Self Excited Induction Generator
628 Progress In Electromagnetics Research Symposium 2006, Cambridge, USA, March 26-29 MATLAB SIMULINK Based DQ Modeling and Dynamic Characteristics of Three Phase Self Excited Induction Generator A. Kishore,
More informationMathematical Modeling and Dynamic Simulation of a Class of Drive Systems with Permanent Magnet Synchronous Motors
Applied and Computational Mechanics 3 (2009) 331 338 Mathematical Modeling and Dynamic Simulation of a Class of Drive Systems with Permanent Magnet Synchronous Motors M. Mikhov a, a Faculty of Automatics,
More informationMassachusetts Institute of Technology Department of Electrical Engineering and Computer Science Electric Machines
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.685 Electric Machines Problem Set 10 Issued November 11, 2013 Due November 20, 2013 Problem 1: Permanent
More informationPARAMETER SENSITIVITY ANALYSIS OF AN INDUCTION MOTOR
HUNGARIAN JOURNAL OF INDUSTRIAL CHEMISTRY VESZPRÉM Vol. 39(1) pp. 157-161 (2011) PARAMETER SENSITIVITY ANALYSIS OF AN INDUCTION MOTOR P. HATOS, A. FODOR, A. MAGYAR University of Pannonia, Department of
More informationThe Enlarged d-q Model of Induction Motor with the Iron Loss and Saturation Effect of Magnetizing and Leakage Inductance
The Enlarged d-q Model of Induction Motor with the Iron Loss and Saturation Effect of Magnetizing and Leakage Inductance Jan Otýpka, Petr Orság, Vítězslav Stýskala, Dmitrii Kolosov, Stanislav Kocman and
More informationLesson 17: Synchronous Machines
Lesson 17: Synchronous Machines ET 332b Ac Motors, Generators and Power Systems Lesson 17_et332b.pptx 1 Learning Objectives After this presentation you will be able to: Explain how synchronous machines
More informationJRE SCHOOL OF Engineering
JRE SCHOOL OF Engineering Class Test-1 Examinations September 2014 Subject Name Electromechanical Energy Conversion-II Subject Code EEE -501 Roll No. of Student Max Marks 30 Marks Max Duration 1 hour Date
More informationLecture 8: Sensorless Synchronous Motor Drives
1 / 22 Lecture 8: Sensorless Synchronous Motor Drives ELEC-E8402 Control of Electric Drives and Power Converters (5 ECTS) Marko Hinkkanen Spring 2017 2 / 22 Learning Outcomes After this lecture and exercises
More informationPERFORMANCE ANALYSIS OF DIRECT TORQUE CONTROL OF 3-PHASE INDUCTION MOTOR
PERFORMANCE ANALYSIS OF DIRECT TORQUE CONTROL OF 3-PHASE INDUCTION MOTOR 1 A.PANDIAN, 2 Dr.R.DHANASEKARAN 1 Associate Professor., Department of Electrical and Electronics Engineering, Angel College of
More informationDynamic Modeling of Surface Mounted Permanent Synchronous Motor for Servo motor application
797 Dynamic Modeling of Surface Mounted Permanent Synchronous Motor for Servo motor application Ritu Tak 1, Sudhir Y Kumar 2, B.S.Rajpurohit 3 1,2 Electrical Engineering, Mody University of Science & Technology,
More informationStep Motor Modeling. Step Motor Modeling K. Craig 1
Step Motor Modeling Step Motor Modeling K. Craig 1 Stepper Motor Models Under steady operation at low speeds, we usually do not need to differentiate between VR motors and PM motors (a hybrid motor is
More informationModeling of Symmetrical Squirrel Cage Induction Machine with MatLab Simulink
Modeling of Symmetrical Squirrel Cage Induction Machine with MatLab Simulink Marcus Svoboda *, Lucian Tutelea *, Gheorghe Madescu **, Marius Biriescu *, Martian Mot ** * University POLITEHNICA Timisoara/Electrical
More informationParameter Estimation of Three Phase Squirrel Cage Induction Motor
International Conference On Emerging Trends in Mechanical and Electrical Engineering RESEARCH ARTICLE OPEN ACCESS Parameter Estimation of Three Phase Squirrel Cage Induction Motor Sonakshi Gupta Department
More informationSensorless Control for High-Speed BLDC Motors With Low Inductance and Nonideal Back EMF
Sensorless Control for High-Speed BLDC Motors With Low Inductance and Nonideal Back EMF P.Suganya Assistant Professor, Department of EEE, Bharathiyar Institute of Engineering for Women Salem (DT). Abstract
More informationMathematical MATLAB Model and Performance Analysis of Asynchronous Machine
Mathematical MATLAB Model and Performance Analysis of Asynchronous Machine Bikram Dutta 1, Suman Ghosh 2 Assistant Professor, Dept. of EE, Guru Nanak Institute of Technology, Kolkata, West Bengal, India
More informationProceedings of the 6th WSEAS/IASME Int. Conf. on Electric Power Systems, High Voltages, Electric Machines, Tenerife, Spain, December 16-18,
Proceedings of the 6th WSEAS/IASME Int. Conf. on Electric Power Systems, High Voltages, Electric Machines, Tenerife, Spain, December 16-18, 2006 196 A Method for the Modeling and Analysis of Permanent
More informationSynchronous machine with PM excitation Two-axis model
Synchronous machine with PM excitation q Two-axis model q i q u q d i Q d Q D i d N S i D u d Voltage, flux-linkage and motion equations for a PM synchronous machine dd ud Ri s d q dt dq uq Ri s q d dt
More informationLecture 1: Induction Motor
1 / 22 Lecture 1: Induction Motor ELEC-E8402 Control of Electric Drives and Power Converters (5 ECTS) Marko Hinkkanen Aalto University School of Electrical Engineering Spring 2016 2 / 22 Learning Outcomes
More informationTime-Harmonic Modeling of Squirrel-Cage Induction Motors: A Circuit-Field Coupled Approach
Time-Harmonic Modeling of Squirrel-Cage Induction Motors: A Circuit-Field Coupled Approach R. Escarela-Perez 1,3 E. Melgoza 2 E. Campero-Littlewood 1 1 División de Ciencias Básicas e Ingeniería, Universidad
More informationTRANSIENT ANALYSIS OF SELF-EXCITED INDUCTION GENERATOR UNDER BALANCED AND UNBALANCED OPERATING CONDITIONS
TRANSIENT ANALYSIS OF SELF-EXCITED INDUCTION GENERATOR UNDER BALANCED AND UNBALANCED OPERATING CONDITIONS G. HARI BABU Assistant Professor Department of EEE Gitam(Deemed to be University), Visakhapatnam
More informationDEVELOPMENT OF DIRECT TORQUE CONTROL MODELWITH USING SVI FOR THREE PHASE INDUCTION MOTOR
DEVELOPMENT OF DIRECT TORQUE CONTROL MODELWITH USING SVI FOR THREE PHASE INDUCTION MOTOR MUKESH KUMAR ARYA * Electrical Engg. Department, Madhav Institute of Technology & Science, Gwalior, Gwalior, 474005,
More informationEquivalent Circuits with Multiple Damper Windings (e.g. Round rotor Machines)
Equivalent Circuits with Multiple Damper Windings (e.g. Round rotor Machines) d axis: L fd L F - M R fd F L 1d L D - M R 1d D R fd R F e fd e F R 1d R D Subscript Notations: ( ) fd ~ field winding quantities
More informationModeling Free Acceleration of a Salient Synchronous Machine Using Two-Axis Theory
1 Modeling ree Acceleration of a Salient Synchronous Machine Using Two-Axis Theory Abdullah H. Akca and Lingling an, Senior Member, IEEE Abstract This paper investigates a nonlinear simulation model of
More informationPermanent Magnet Synchronous Motors (PMSM). Parameters influence on the synchronization process of a PMSM
Permanent Magnet ynchronous Motors (PMM). Parameters influence on the synchronization process of a PMM J. ais, M. P. Donsión Department of Electromechanics and Power Electronics Faculty of electrical engineering
More informationTHE DYNAMIC BEHAVIOUR OF SYNCHRONOUS AND ASYNCHRONOUS MACHINES WITH TWO-SIDE ASYMMETRY CONSIDERING SATURATION
THE DYNAMIC BEHAVIOUR OF SYNCHRONOUS AND ASYNCHRONOUS MACHINES WITH TWO-SIDE ASYMMETRY CONSIDERING SATURATION By P. VAS Department of Electric IIIachines. Technical University. Bndapest Received February
More informationModelling of Closed Loop Speed Control for Pmsm Drive
Modelling of Closed Loop Speed Control for Pmsm Drive Vikram S. Sathe, Shankar S. Vanamane M. Tech Student, Department of Electrical Engg, Walchand College of Engineering, Sangli. Associate Prof, Department
More informationIndependent Control of Speed and Torque in a Vector Controlled Induction Motor Drive using Predictive Current Controller and SVPWM
Independent Control of Speed and Torque in a Vector Controlled Induction Motor Drive using Predictive Current Controller and SVPWM Vandana Peethambaran 1, Dr.R.Sankaran 2 Assistant Professor, Dept. of
More informationDoubly salient reluctance machine or, as it is also called, switched reluctance machine. [Pyrhönen et al 2008]
Doubly salient reluctance machine or, as it is also called, switched reluctance machine [Pyrhönen et al 2008] Pros and contras of a switched reluctance machine Advantages Simple robust rotor with a small
More informationUse of the finite element method for parameter estimation of the circuit model of a high power synchronous generator
BULLETIN OF THE POLISH ACADEMY OF SCIENCES TECHNICAL SCIENCES, Vol. 63, No. 3, 2015 DOI: 10.1515/bpasts-2015-0067 Use of the finite element method for parameter estimation of the circuit model of a high
More informationPROPERTIES OF THE CO-ENERGY FUNCTION FOR AC MACHINES WITH NON-LINEAR MAGNETIC CIRCUIT
PERIODICA POLYTECHNICA SER. EL. ENG. VOL. 45, NO. 3 4, PP. 223 233 (2001) PROPERTIES OF THE CO-ENERGY FUNCTION FOR AC MACHINES WITH NON-LINEAR MAGNETIC CIRCUIT Tadeusz J. SOBCZYK Institute on Electromechanical
More informationUNIT-I INTRODUCTION. 1. State the principle of electromechanical energy conversion.
UNIT-I INTRODUCTION 1. State the principle of electromechanical energy conversion. The mechanical energy is converted in to electrical energy which takes place through either by magnetic field or electric
More informationFrom now, we ignore the superbar - with variables in per unit. ψ ψ. l ad ad ad ψ. ψ ψ ψ
From now, we ignore the superbar - with variables in per unit. ψ 0 L0 i0 ψ L + L L L i d l ad ad ad d ψ F Lad LF MR if = ψ D Lad MR LD id ψ q Ll + Laq L aq i q ψ Q Laq LQ iq 41 Equivalent Circuits for
More informationFinite Element Based Transformer Operational Model for Dynamic Simulations
496 Progress In Electromagnetics Research Symposium 2005, Hangzhou, China, August 22-26 Finite Element Based Transformer Operational Model for Dynamic Simulations O. A. Mohammed 1, Z. Liu 1, S. Liu 1,
More informationMODELING AND HIGH-PERFORMANCE CONTROL OF ELECTRIC MACHINES
MODELING AND HIGH-PERFORMANCE CONTROL OF ELECTRIC MACHINES JOHN CHIASSON IEEE PRESS ü t SERIES ON POWER ENGINEERING IEEE Press Series on Power Engineering Mohamed E. El-Hawary, Series Editor The Institute
More informationFinite Element Analysis of Hybrid Excitation Axial Flux Machine for Electric Cars
223 Finite Element Analysis of Hybrid Excitation Axial Flux Machine for Electric Cars Pelizari, A. ademir.pelizari@usp.br- University of Sao Paulo Chabu, I.E. ichabu@pea.usp.br - University of Sao Paulo
More informationElectromagnetic fields calculation at single phase shaded pole motor
Electromagnetic fields calculation at single phase shaded pole motor Vasilija J. Šarac, Dobri M. Čundev Finite Element Method (FEM) is used for calculation of electromagnetic field inside the single phase
More informationNEPTUNE -code: KAUVG11ONC Prerequisites:... Knowledge description:
Subject name: Electrical Machines Credits: 9 Requirement : Course director: Dr. Vajda István Position: Assessment and verification procedures: NEPTUNE -code: KAUVG11ONC Prerequisites:... Number of hours:
More informationRobust Speed Controller Design for Permanent Magnet Synchronous Motor Drives Based on Sliding Mode Control
Available online at www.sciencedirect.com ScienceDirect Energy Procedia 88 (2016 ) 867 873 CUE2015-Applied Energy Symposium and Summit 2015: ow carbon cities and urban energy systems Robust Speed Controller
More informationAnalytical Model for Sizing the Magnets of Permanent Magnet Synchronous Machines
Journal of Electrical Engineering 3 (2015) 134-141 doi: 10.17265/2328-2223/2015.03.004 D DAVID PUBLISHING Analytical Model for Sizing Magnets of Permanent Magnet Synchronous Machines George Todorov and
More informationExercise 5 - Hydraulic Turbines and Electromagnetic Systems
Exercise 5 - Hydraulic Turbines and Electromagnetic Systems 5.1 Hydraulic Turbines Whole courses are dedicated to the analysis of gas turbines. For the aim of modeling hydraulic systems, we analyze here
More informationA Novel Adaptive Estimation of Stator and Rotor Resistance for Induction Motor Drives
A Novel Adaptive Estimation of Stator and Rotor Resistance for Induction Motor Drives Nagaraja Yadav Ponagani Asst.Professsor, Department of Electrical & Electronics Engineering Dhurva Institute of Engineering
More informationCHAPTER 5 SIMULATION AND TEST SETUP FOR FAULT ANALYSIS
47 CHAPTER 5 SIMULATION AND TEST SETUP FOR FAULT ANALYSIS 5.1 INTRODUCTION This chapter describes the simulation model and experimental set up used for the fault analysis. For the simulation set up, the
More informationReluctance Synchronous Machine with a Particular Cageless Segmental Rotor
Reluctance Synchronous Machine with a Particular Cageless Segmental Rotor I.A. Viorel 1, I. Husain 2, Ioana Chişu 1, H.C. Hedeşiu 1, G. Madescu 3 and L. Szabó 1 1 Dept. of Electrical Machines, Technical
More informationDevelopment and analysis of radial force waves in electrical rotating machines
DOI: 10.24352/UB.OVGU-2017-098 TECHNISCHE MECHANIK, 37, 2-5, (2017), 218 225 submitted: June 20, 2017 Development and analysis of radial force waves in electrical rotating machines S. Haas, K. Ellermann
More informationThe synchronous machine (detailed model)
ELEC0029 - Electric Power System Analysis The synchronous machine (detailed model) Thierry Van Cutsem t.vancutsem@ulg.ac.be www.montefiore.ulg.ac.be/~vct February 2018 1 / 6 Objectives The synchronous
More informationON THE PARAMETERS COMPUTATION OF A SINGLE SIDED TRANSVERSE FLUX MOTOR
ON THE PARAMETERS COMPUTATION OF A SINGLE SIDED TRANSVERSE FLUX MOTOR Henneberger, G. 1 Viorel, I. A. Blissenbach, R. 1 Popan, A.D. 1 Department of Electrical Machines, RWTH Aachen, Schinkelstrasse 4,
More informationGeneralized Theory of Electrical Machines- A Review
Generalized Theory of Electrical Machines- A Review Dr. Sandip Mehta Department of Electrical and Electronics Engineering, JIET Group of Institutions, Jodhpur Abstract:-This paper provides an overview
More informationPrediction of Electromagnetic Forces and Vibrations in SRMs Operating at Steady State and Transient Speeds
Prediction of Electromagnetic Forces and Vibrations in SRMs Operating at Steady State and Transient Speeds Zhangjun Tang Stryker Instruments Kalamazoo, MI 491 Phone: 269-323-77 Ext.363 Fax: 269-323-394
More informationRobust Controller Design for Speed Control of an Indirect Field Oriented Induction Machine Drive
Leonardo Electronic Journal of Practices and Technologies ISSN 1583-1078 Issue 6, January-June 2005 p. 1-16 Robust Controller Design for Speed Control of an Indirect Field Oriented Induction Machine Drive
More informationSmall-Signal Analysis of a Saturated Induction Motor
1 Small-Signal Analysis of a Saturated Induction Motor Mikaela Ranta, Marko Hinkkanen, Anna-Kaisa Repo, and Jorma Luomi Helsinki University of Technology Department of Electrical Engineering P.O. Box 3,
More informationChapter 4. Synchronous Generators. Basic Topology
Basic Topology Chapter 4 ynchronous Generators In stator, a three-phase winding similar to the one described in chapter 4. ince the main voltage is induced in this winding, it is also called armature winding.
More informationMathematical model of electromechanical system with variable dissipativity
Mathematical model of electromechanical system with variable dissipativity Alexsandr Baykov, Boris Gordeev 2 Nizhny Novgorod State Technical University n. a. R. E. Alexeev, Nizhny Novgorod, Russia 2 Institute
More informationDetermination of a Synchronous Generator Characteristics via Finite Element Analysis
SERBIAN JOURNAL OF ELECTRICAL ENGINEERING Vol. 2, No. 2, November 25, 157-162 Determination of a Synchronous Generator Characteristics via Finite Element Analysis Zlatko Kolondzovski 1, Lidija Petkovska
More informationPower System Stability and Control. Dr. B. Kalyan Kumar, Department of Electrical Engineering, Indian Institute of Technology Madras, Chennai, India
Power System Stability and Control Dr. B. Kalyan Kumar, Department of Electrical Engineering, Indian Institute of Technology Madras, Chennai, India Contents Chapter 1 Introduction to Power System Stability
More informationAC Induction Motor Stator Resistance Estimation Algorithm
7th WSEAS International Conference on Electric Power Systems, High Voltages, Electric Machines, Venice, Italy, November 21-23, 27 86 AC Induction Motor Stator Resistance Estimation Algorithm PETR BLAHA
More informationINVESTIGATION OF A COMPUTER MODEL OF THREE-PHASE MOTOR REGULATED BY FREQUENCY MODE
INVESTIGATION OF A COMPUTER MODEL OF THREE-PHASE MOTOR REGULATED BY FREQUENCY MODE Dinko Petkov Gospodinov, Pencho Venkov Georgiev TU-Gabrovo 5300, H.Dimitar str. 4, Department of Electronics, e-mail:
More informationECEN 667 Power System Stability Lecture 18: Voltage Stability, Load Models
ECEN 667 Power System Stability Lecture 18: Voltage Stability, Load Models Prof. Tom Overbye Dept. of Electrical and Computer Engineering Texas A&M University, overbye@tamu.edu 1 Announcements Read Chapter
More informationOffline Parameter Identification of an Induction Machine Supplied by Impressed Stator Voltages
POSTER 2016, PRAGUE MAY 24 1 Offline Parameter Identification of an Induction Machine Supplied by Impressed Stator Voltages Tomáš KOŠŤÁL Dept. of Electric Drives and Traction, Czech Technical University,
More informationDirect Flux Vector Control Of Induction Motor Drives With Maximum Efficiency Per Torque
Direct Flux Vector Control Of Induction Motor Drives With Maximum Efficiency Per Torque S. Rajesh Babu 1, S. Sridhar 2 1 PG Scholar, Dept. Of Electrical & Electronics Engineering, JNTUACEA, Anantapuramu,
More informationEXPERIMENTAL COMPARISON OF LAMINATION MATERIAL CASE OF SWITCHING FLUX SYNCHRONOUS MACHINE WITH HYBRID EXCITATION
EXPERIMENTAL COMPARISON OF LAMINATION MATERIAL CASE OF SWITCHING FLUX SYNCHRONOUS MACHINE WITH HYBRID EXCITATION Emmanuel Hoang, Sami Hlioui, Michel Lécrivain, Mohamed Gabsi To cite this version: Emmanuel
More informationThree phase induction motor using direct torque control by Matlab Simulink
Three phase induction motor using direct torque control by Matlab Simulink Arun Kumar Yadav 1, Dr. Vinod Kumar Singh 2 1 Reaserch Scholor SVU Gajraula Amroha, U.P. 2 Assistant professor ABSTRACT Induction
More informationDynamic d-q Model of Induction Motor Using Simulink
Dynamic d-q Model of Induction Motor Using Simulink Anand Bellure #1, Dr. M.S Aspalli #2, #1,2 Electrical and Electronics Engineering Department, Poojya Doddappa Appa College of Engineering, Gulbarga,
More informationAutomatic Control Systems. -Lecture Note 15-
-Lecture Note 15- Modeling of Physical Systems 5 1/52 AC Motors AC Motors Classification i) Induction Motor (Asynchronous Motor) ii) Synchronous Motor 2/52 Advantages of AC Motors i) Cost-effective ii)
More informationParameter Prediction and Modelling Methods for Traction Motor of Hybrid Electric Vehicle
Page 359 World Electric Vehicle Journal Vol. 3 - ISSN 232-6653 - 29 AVERE Parameter Prediction and Modelling Methods for Traction Motor of Hybrid Electric Vehicle Tao Sun, Soon-O Kwon, Geun-Ho Lee, Jung-Pyo
More informationMCE380: Measurements and Instrumentation Lab. Chapter 5: Electromechanical Transducers
MCE380: Measurements and Instrumentation Lab Chapter 5: Electromechanical Transducers Part I Topics: Transducers and Impedance Magnetic Electromechanical Coupling Reference: Holman, CH 4. Cleveland State
More informationINTRODUCTION. I. SYNCHRONOUS MACHINE Construction Constructive types 1.4.
TABLE OF CONTENT INTRODUCTION I.1. I. SYNCHRONOUS MACHINE 1.1. 1.1. Construction 1.1. 1.. Constructive types 1.4. II. TRANSIENT REGIME.1..1. Voltage equations in phase quantities.... Inductances.3..3.
More informationModule 3 : Sequence Components and Fault Analysis
Module 3 : Sequence Components and Fault Analysis Lecture 12 : Sequence Modeling of Power Apparatus Objectives In this lecture we will discuss Per unit calculation and its advantages. Modeling aspects
More informationECE 5670/6670 Lab 8. Torque Curves of Induction Motors. Objectives
ECE 5670/6670 Lab 8 Torque Curves of Induction Motors Objectives The objective of the lab is to measure the torque curves of induction motors. Acceleration experiments are used to reconstruct approximately
More information338 Applied Electromagnetic Engineering for Magnetic, Superconducting, Multifunctional and Nano Materials
Materials Science Forum Online: 2014-08-11 ISSN: 1662-9752, Vol. 792, pp 337-342 doi:10.4028/www.scientific.net/msf.792.337 2014 Trans Tech Publications, Switzerland Torque Characteristic Analysis of an
More informationROEVER COLLEGE OF ENGINEERING & TECHNOLOGY ELAMBALUR, PERAMBALUR DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING ELECTRICAL MACHINES I
ROEVER COLLEGE OF ENGINEERING & TECHNOLOGY ELAMBALUR, PERAMBALUR-621220 DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING ELECTRICAL MACHINES I Unit I Introduction 1. What are the three basic types
More informationSYNCHRONOUS GENERATOR s ROTOR INVESTIGATION OF A HYBRID POWER SYSTEM INCLUDING A.G.
Proc. of the 5th WSEAS/IASME Int. Conf. on Electric Power Systems, High Voltages, Electric Machines, Tenerife, Spain, December 16-18, 25 (pp59-514) SYNCHRONOUS GENERATOR s ROTOR INVESTIGATION OF A HYBRID
More informationSynchronous Machines
Synchronous machine 1. Construction Generator Exciter View of a twopole round rotor generator and exciter. A Stator with laminated iron core C Slots with phase winding B A B Rotor with dc winding B N S
More informationGentle synchronization of two-speed synchronous motor with asynchronous starting
Electr Eng (2012) 94:155 163 DOI 10.1007/s00202-011-0227-1 ORIGINAL PAPER Gentle synchronization of two-speed synchronous motor with asynchronous starting Paweł Zalas Jan Zawilak Received: 5 November 2009
More informationThe Aeolian Asynchronous Generator
ANALELE UNIVERSITĂłII EFTIMIE MURGU REŞIłA ANUL XV, NR., 2008, ISSN 453-7397 Ionel Dragomirescu, Cosmin Laurian Ungureanu Te Aeolian Asyncronous Generator Te production of te electric energy wit lower
More informationMotor Info on the WWW Motorola Motors DC motor» /MOTORDCTUT.
Motor Info on the WWW Motorola Motors DC motor» http://www.freescale.com/files/microcontrollers/doc/train_ref_material /MOTORDCTUT.html Brushless DC motor» http://www.freescale.com/files/microcontrollers/doc/train_ref_material
More informationPRINCIPLE OF DESIGN OF FOUR PHASE LOW POWER SWITCHED RELUCTANCE MACHINE AIMED TO THE MAXIMUM TORQUE PRODUCTION
Journal of ELECTRICAL ENGINEERING, VOL. 55, NO. 5-6, 24, 138 143 PRINCIPLE OF DESIGN OF FOUR PHASE LOW POWER SWITCHED RELUCTANCE MACHINE AIMED TO THE MAXIMUM TORQUE PRODUCTION Martin Lipták This paper
More informationAccurate Joule Loss Estimation for Rotating Machines: An Engineering Approach
Accurate Joule Loss Estimation for Rotating Machines: An Engineering Approach Adeeb Ahmed Department of Electrical and Computer Engineering North Carolina State University Raleigh, NC, USA aahmed4@ncsu.edu
More informationHinkkanen, Marko; Repo, Anna-Kaisa; Luomi, Jorma Influence of magnetic saturation on induction motor model selection
Powered by TCPDF (www.tcpdf.org) This is an electronic reprint of the original article. This reprint may differ from the original in pagination and typographic detail. Hinkkanen, Marko; Repo, Anna-Kaisa;
More informationNonlinear Electrical FEA Simulation of 1MW High Power. Synchronous Generator System
Nonlinear Electrical FEA Simulation of 1MW High Power Synchronous Generator System Jie Chen Jay G Vaidya Electrodynamics Associates, Inc. 409 Eastbridge Drive, Oviedo, FL 32765 Shaohua Lin Thomas Wu ABSTRACT
More informationNEURAL NETWORKS APPLICATION FOR MECHANICAL PARAMETERS IDENTIFICATION OF ASYNCHRONOUS MOTOR
NEURAL NETWORKS APPLICATION FOR MECHANICAL PARAMETERS IDENTIFICATION OF ASYNCHRONOUS MOTOR D. Balara, J. Timko, J. Žilková, M. Lešo Abstract: A method for identification of mechanical parameters of an
More informationDesign and Characteristic Analysis of LSM for High Speed Train System using Magnetic Equivalent Circuit
IJR International Journal of Railway Vol. 3, No. 1 / March 2010, pp. 14-18 The Korean Society for Railway Design and Characteristic Analysis of LSM for High Speed Train System using Magnetic Equivalent
More informationENGG4420 LECTURE 7. CHAPTER 1 BY RADU MURESAN Page 1. September :29 PM
CHAPTER 1 BY RADU MURESAN Page 1 ENGG4420 LECTURE 7 September 21 10 2:29 PM MODELS OF ELECTRIC CIRCUITS Electric circuits contain sources of electric voltage and current and other electronic elements such
More informationShanming Wang, Ziguo Huang, Shujun Mu, and Xiangheng Wang. 1. Introduction
Mathematical Problems in Engineering Volume 215, Article ID 467856, 6 pages http://dx.doi.org/1.1155/215/467856 Research Article A Straightforward Convergence Method for ICCG Simulation of Multiloop and
More informationInternational Journal of Advance Engineering and Research Development SIMULATION OF FIELD ORIENTED CONTROL OF PERMANENT MAGNET SYNCHRONOUS MOTOR
Scientific Journal of Impact Factor(SJIF): 3.134 e-issn(o): 2348-4470 p-issn(p): 2348-6406 International Journal of Advance Engineering and Research Development Volume 2,Issue 4, April -2015 SIMULATION
More informationSCHOOL OF ELECTRICAL, MECHANICAL AND MECHATRONIC SYSTEMS. Transient Stability LECTURE NOTES SPRING SEMESTER, 2008
SCHOOL OF ELECTRICAL, MECHANICAL AND MECHATRONIC SYSTEMS LECTURE NOTES Transient Stability SPRING SEMESTER, 008 October 7, 008 Transient Stability Transient stability refers to the ability of a synchronous
More informationMechatronics Engineering. Li Wen
Mechatronics Engineering Li Wen Bio-inspired robot-dc motor drive Unstable system Mirko Kovac,EPFL Modeling and simulation of the control system Problems 1. Why we establish mathematical model of the control
More informationBehaviour of synchronous machine during a short-circuit (a simple example of electromagnetic transients)
ELEC0047 - Power system dynamics, control and stability (a simple example of electromagnetic transients) Thierry Van Cutsem t.vancutsem@ulg.ac.be www.montefiore.ulg.ac.be/~vct October 2018 1 / 25 Objectives
More informationM. Popnikolova Radevska, Member, IEEE, M. Cundev, L. Pelkovska
MK0500056 Electromagnetic Characteristics and Static Torque of a Solid Salient Poles Synchronous Motor Computed by 3D-Finite Element Method Magnetics (September 2000) M. Popnikolova Radevska, Member, IEEE,
More informationTURBO-GENERATOR MODEL WITH MAGNETIC SATURATION
TURBO-GENERATOR MODEL WITH MAGNETIC SATURATION R. HADIK Department for Electrotechnics, Technical University, H-1521 Budapest Received May 8, 1984 Presented by Prof. Or. I. Nagy Summary In this paper a
More informationAnalysis of Electric DC Drive Using Matlab Simulink and SimPower Systems
Analysis of Electric DC Drive Using Matlab Simulink and SimPower Systems Miklosevic, Kresimir ; Spoljaric, Zeljko & Jerkovic, Vedrana Department of Electromechanical Engineering Faculty of Electrical Engineering,
More informationLecture 7: Synchronous Motor Drives
1 / 46 Lecture 7: Synchronous Motor Drives ELEC-E8402 Control of Electric Drives and Power Converters (5 ECTS) Marko Hinkkanen Spring 2017 2 / 46 Learning Outcomes After this lecture and exercises you
More informationSensorless Speed Control for PMSM Based On the DTC Method with Adaptive System R. Balachandar 1, S. Vinoth kumar 2, C. Vignesh 3
Sensorless Speed Control for PMSM Based On the DTC Method with Adaptive System R. Balachandar 1, S. Vinoth kumar 2, C. Vignesh 3 P.G Scholar, Sri Subramanya College of Engg & Tech, Palani, Tamilnadu, India
More informationThe Effects of Machine Components on Bifurcation and Chaos as Applied to Multimachine System
1 The Effects of Machine Components on Bifurcation and Chaos as Applied to Multimachine System M. M. Alomari and B. S. Rodanski University of Technology, Sydney (UTS) P.O. Box 123, Broadway NSW 2007, Australia
More informationSensorless Torque and Speed Control of Traction Permanent Magnet Synchronous Motor for Railway Applications based on Model Reference Adaptive System
5 th SASTech 211, Khavaran Higher-education Institute, Mashhad, Iran. May 12-14. 1 Sensorless Torue and Speed Control of Traction Permanent Magnet Synchronous Motor for Railway Applications based on Model
More informationStepping Motors. Chapter 11 L E L F L D
Chapter 11 Stepping Motors In the synchronous motor, the combination of sinusoidally distributed windings and sinusoidally time varying current produces a smoothly rotating magnetic field. We can eliminate
More informationELECTROMAGNETIC ANALYSIS OF A HYBRID PERMANENT MAGNET GENERATOR
Rev. Roum. Sci. Techn. Électrotechn. et Énerg. Vol. 63, 1, pp. 33 37, Bucarest, 2018 Dedicated to the memory of Academician Andrei Ţugulea ELECTROMAGNETIC ANALYSIS OF A HYBRID PERMANENT MAGNET GENERATOR
More information