CONTROL STRATEGY OF DUAL FED OPEN- END WINDING PMSM DRIVE WITH FLOATING BRIDGE CAPACITOR

Transcription

1 International Journal of Mechanical Engineering and Technology (IJMET) Volume 10, Issue 04, April 2019, pp , Article ID: IJMET_10_04_057 Aailable online at ISSN Print: and ISSN Online: IAEME Publication Scopus Indexed CONTROL STRATEGY OF DUAL FED OPEN- END WINDING PMSM DRIVE WITH FLOATING BRIDGE CAPACITOR Chair of General Electrotechnic, Saint-Petersburg Mining Uniersity, St. Petersburg, Russia ABSTRACT This paper proposes a control strategy of open winding permanent magnet synchronous motor (OW PMSM) in field weakening modes. There are two inerters. One of them connected to the traction battery. Main bridge inerter aimed to proide power with approximately unity power factor, another one to capacitor. Floating bridge inerter aimed to control capacitor oltage on desired alue and proide reactie power to the moto. Compare OW PMSM control system with conentional field-oriented control (FOC) shows that proposed method helps to reach speed 1.41 times more than FOC system. FOC system was simulated with 310V DC power supply. OW PMSM with 160V DC power supply and 500 nanofarad capacitor. Key words: OWPMSM, OEWPMSM, SVPWM, Floating bridge, Permanent, magnet, motor, MATLAB, capacitor Cite this Article:, Control Strategy of Dual Fed Open-End Winding PMSM Drie with Floating Bridge Capacitor, International Journal of Mechanical Engineering and Technology 10(4), 2019, pp INTRODUCTION PMSM motor is widely used in traction applications because of its best mass/dimensional ratio parameters, high efficiency [1,2]. Howeer, one of the main PMSM motors problem is rapid torque decreasing while working in high-speed area. In [3-5] paper, special control algorithms to control PMSM motor in field weakening mode were proposed. In [6] L.Chu, et al compared maximum speed dependency on stator winding connection type. Trends showed maximum speed increasing ability with open winding connection mode with flux weakening control algorithms. In paper [7] OW-PMSM with fie leg inerters with fie leg secondary inerter were presented. In [8] comparing different topologies of OWPMSM motor were presented. Topologies with single power source and with two different power sources with equal oltages is the most acceptable for flux weakening operation. Paper [9] presents topology of OWPMSM motor with two inerters with independent power sources, where algorithms of power sharing between independent sources were presented. Paper [10] describes algorithms of OWPMSM control with electrolytic capacitor connection on the editor@iaeme.com

2 secondary inerter s power side. Research results shows that capacitor helps to reduce back- EMF of PMSM motor and increase its maximum operation speed alue. This paper represents OWPMSM topology two inerters with DC-source in one side and floating capacitor on the other side coupled to powertrain in order to get presented topology s dynamic performance. 2. OWPMSM MOTOR MODEL Figure 1. OWPMSM motor equialent circuit Equialent circuit of OWPMSM showed on Fig.1. Generally, there is no difference with PMSM with stator star secondary winding connection. PMSM motor equations are gien by: Vq Rs Lq Vd r Lq r Ld iq r f R s Ld id f R s stator resistance; L d d-axis self- PM flux linkage or Field where V d d-axis oltage; V q q-axis oltage; inductance; L q q-axis self-inductance; flux linkage; deriatie operator; i d Motor torque can be calculated as 3 P Te 2 2 d iq qid where T e deelop torque; P pole number linkage; Mechanical torque equation is: electrical speed; r (1) d-axis current; i q q-axis current. f (2) d d axis flux linkage; q q axis flux dm Te TL Bm J (3) dt where T L load torque; B friction coefficient m mechanical rotor speed; J inertia; Equation to conert currents from rotating to stationary axis are following: id sin a I m i q a cos where I m supply current peak alue. a angle can be found from: (4) editor@iaeme.com

3 Control Strategy of Dual Fed Open-End Winding PMSM Drie with Floating Bridge Capacitor a Tan 1 i i q d Peak current alue can be found from: I m 2 2 id iq (6) 3. OWPMSM FED BY TWO INVERTERS WITH INDEPENDENT POWER SOURCES On Fig.2 OWPMSM topology with two independent sources is presented. Topology consist of 12 IGBT switches, two equal batteries and PMSM motor. (5) Idm Iqm PI PI Udm Uqm Ud1 Өe DQ to ABC m2abc VSC Udc Idm Udqm to Udq1, Udq2 Ucap Iqm PI PDFB Idm Iqm ABC to DQ iabc OWPMSM motor Ud1 Өe DQ to ABC VSC Ucap Figure 2. OWPMSM control system This control topology consists of the following blocks: Speed, dq current and capacitor oltage PI regulators Udq1 and Udq2 block estimator double SVPWM conerters According to [14] control dq oltages for Main and floating bridge can be described by following equations: q 1 q 1 a Qcap (7) d 1 d 1 a Dcap (8) 1 q 2 q qm Qcap (9) d 2 d 1 dm Dcap (10), 1 Where q 1 d q2, d 2 - is control oltages for Main bridge inerter; - is control oltages q1 a, d1a for Floating bridge inerter; are actie ectors for Main Bridge (unity power factor); Qcap, Dcap qm dm are oltage components to control capacitor s charge leel;, - oltage ectors after PI regulators. Described aboe elements can be found by: q1a 2PD i 3I m q (11) editor@iaeme.com

4 2PD id d1a 3I m Qcap 2PDFB i 3I m q (12) (13) 2PDFB id Dcap 3I m (14) q 1 q 1 a Qcap (15) d 1 d 1 a Dcap (16) q 2 q 1 qm Qcap (17) d 2 d 1 dm Dcap (18) 3 PD 2 Where qmiq dmid P D - is power demand for Main bridge inerter; d (19) i q, i measured stator currents are sum after Park transformation; q1, d1 q2, d 2 ectors for floating bridge inerter; According to [11] i, can be described as: 2 2 id, ref I MAX I q d ref (20) Control system aimed to generate unity power factor from Main inerter and fully reactie power from floating bridge inerter. Vector diagram of this process showed of fig. according to [12]: Figure 3. OWPMSM ector diagram editor@iaeme.com

5 Control Strategy of Dual Fed Open-End Winding PMSM Drie with Floating Bridge Capacitor 4. SIMULATIONS Simulations were made by Matlab/Simulink software. There are two main blocks: Controller algorithm, Motor, and Load. More detailed iew of these blocks are on fig 4, fig 5. Figure 4. System model oeriew Figure 5. System model oeriew OWPMSM motor was designed by using Simscape language according to (1)-(6) equations. Other electrical elements are Simscape power system pre-assigned components. Motor parameters are following [13]: Table 1. PMSM motor parameters Machine type SPMSM Rated motor oltage 310 V Rated motor current 15 A Rated motor speed 150 rad/sec Number of pole pairs 4 q-axis inductance H d-axis inductance H editor@iaeme.com

6 Machine type SPMSM Flux linkage constant Wb Armature resistance 1.1 Ohm Moment of Inertia kgm^2 Friction coefficient 0 Simulations were proided in order to compare proposed method with conentional FOC system. FOC PMSM system contains one DC 310V oltage source. OWPMSM control system hae two different sources: 160V DC oltage source and 5000 nanofarad capacitor. One can notice, that PMSM with Y connected end windings get stacked on speed approx. 160 rad/sec, while OWPMSM motor has reach controller s setpoint. Voltage fluctuations, sags in DC link [14] or nonlinear behaior of VFC load [15] were not included in simulations (а) (b) Figure 8. Simulation results: (a) OWPMSM proposed control system; (b) conentional FOC PMSM control system Figure 9. Capacitor oltage leel editor@iaeme.com

7 Control Strategy of Dual Fed Open-End Winding PMSM Drie with Floating Bridge Capacitor 5. CONCLUSIONS OWPMSM topology operation mode is following: After capacitor charging, Main bridge inerter generates only actie power for PMSM motor, while floating bridge inerter with capacitor generates only reactie power. Fig. 9 shows capacitor charging/discharging process. Simulations result shows proposed controller performance: Ramp leel of setpoint was intentionally set on leel, which is much higher than motor s datasheet speed parameter. Conentional FOC PMSM drie system reached its nominal alue with approximately 160 rad/c speed, while proposed system with OWPMSM, half DC oltage leel (160V) on main bridge and capacitor on floating bridge reached speed about 1.41 times higher than nominal motor s alue. OWPMSM negatie current on start-up time shows charging process of floating bridge capacitor Proposed simulation consists only static load on motor shaft. Further researches aimed on ehicle powertrain mounted studies in order to determine suitability of this system to operate electric ehicle in wide speed applications. REFERENCES [1] T. Finken, M. Felden and K. Hameyer, "Comparison and design of different electrical machine types regarding their applicability in hybrid electrical ehicles," th International Conference on Electrical Machines, Vilamoura, 2008, pp [2] Semykina I., Tarnetskaya A. "Magnet Synchronous Machine of Mine Belt Coneyor Gearless Drum-Motor." E3S Web of Conferences. 41, 2018 [3] M. Tursini, E. Chiricozzi, and R. Petrella, Feedforward flux-weakening control of aurface-mounted permanent-magnet synchronous motors accounting for resistie oltage drop, IEEE Trans. Ind. Electron., ol. 57, no. 1, pp , Jan [4] T.-S. Kwon and S.-K. Sul, Noel antiwindup of a current regulator of a surface-mounted permanent-magnet motor for flux-weakening control, IEEE Trans. Ind. Appl., ol. 42, no. 5, pp , Sep./Oct [5] A. Tripathi, A. M. Khambadkone, and S. K. Panda, Dynamic control of torque in oermodulation and in the field weakening region, IEEE Trans. Power Electron., ol. 21, no. 4, pp , Jul [6] L.Chu, et al., Research on Control Strategies of an Open-End Winding Permanent Magnet Synchronous Driing Motor (OW-PMSM)-Equipped Dual Inerter with a Switchable Winding Mode for Electric Vehicles, Energies, ol. 10, no. 5, [7] S. Dai, J. Wei, B. Zhou and J. Xue, "The Control Strategy of Open-Winding Permanent Magnet Synchronous Motor Drie System Based on Fie-Leg Inerter," 2016 IEEE Vehicle Power and Propulsion Conference (VPPC), Hangzhou, 2016, pp [8] Loncarski, J.; Leijon, M.; Srndoic, M.; Rossi, C.; Grandi, G. Comparison of output current ripple in single and dual three-phase inerters for electric ehicle motor dries Energies 2015, 8, [9] D. Casadei, G. Grandi, A. Lega and C. Rossi, "Multileel Operation and Input Power Balancing for a Dual Two-Leel Inerter with Insulated DC Sources," in IEEE Transactions on Industry Applications, ol. 44, no. 6, pp , No.-dec [10] Y. Lee and J. Ha, "Hybrid Modulation of Dual Inerter for Open-End Permanent Magnet Synchronous Motor," in IEEE Transactions on Power Electronics, ol. 30, no. 6, pp , June [11] R. U. Haque, M. S. Toulabi, A. M. Knight and J. Salmon, "Wide speed range operation of PMSM using an open winding and a dual inerter drie with a floating bridge," 2013 IEEE Energy Conersion Congress and Exposition, Dener, CO, 2013, pp editor@iaeme.com

8 [12] G. Watthewaduge, M. S. Toulabi and S. Filizadeh, "Analysis and Control Considerations of an Open Winding IPMSM Drie in MTPA and FW Regions," st International Conference on Electrical Machines and Systems (ICEMS), Jeju, 2018, pp [13] X. Wang, B. Ufnalski and L. M. Grzesiak, "Adaptie speed control in the PMSM drie for a non-stationary repetitie process using particle swarms," th International Conference on Compatibility, Power Electronics and Power Engineering (CPE- POWERENG), Bydgoszcz, 2016, pp [14] Y. E. Shklyarskiy, V. S. Dobush, A. I. Bardano "An algorithm for prediction of the DC link oltage of the VFD during oltage sags. " 2018 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering. [15] A. N. Skamyin, V. S. Dobush "Analysis of nonlinear load influence on operation of compensating deices" IOP Conference Series: Earth and Enironmental Science, 194, 5, pp editor@iaeme.com