5 69 S FWR1 S FWR λ H i = + 3 maximum torue i i 2 + i 2 2 λn p L - L i = 0 per Ampere MTPA H i OA = - 3 i i 2 + i 2 2 λn p L - L i = 0 4

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1 ELECTRI C MACHINES AND CONTROL Vol. 14 No. 5 May TM A X Research of flux weakening strategy of interior permanent magnet synchronous motor TANG Zhao-huiDING QiangYU Shou-yiGUI Wei-huaLI Yong-gang College of Information Science an Engineering Central South University Changsha China Abstract For the flux weakening control strategy of Interior Permanent Magnet Synchronous Motora metho of moifying the current setting has been propose. The metho consiste of two parts one was the etermination of the flux weakening regionan another was the current setting moification. The flux weakening region was etermine by the angle between the constant torue irection an the output of current regulator ecreasing irection the irection of voltage ecreasing was calculate by using the graient escent metho. The current setting was moifie by the irection of the variation of torue an voltage an the magnitue of the voltage error accoring to the flux weakening region. The experiment result verifies the valiity an the feasibility of the control strategyan it also has high control precision fast response an robustness. Key wors interior permanent magnet synchronous motors flux weakening flux weakening region the current setting the graient escent metho 0 interior permanent magnet synchronous motoripmsm RS

2 5 69 S FWR1 S FWR λ H i = + 3 maximum torue i i 2 + i 2 2 λn p L - L i = 0 per Ampere MTPA H i OA = - 3 i i 2 + i 2 2 λn p L - L i = 0 4 OA H maximum torue per voltage MTPV λ = T e n p ψ f + L - L i i = 0 BC 4 1 S FWR1 MT- i i PV BC 2 S FWR2 ψ 1 T f e1 i = - 2 L - L + ψ 2 f DE E 4 L - L + 2 i2 5 i i 5 MTPV EC Fig. 1 MTPA MTPV A i D F H T eb T e1 T e2 T e3 B E G I 棕 b 棕 1 棕 2 C 棕 3 - 鬃 f O, 0 L i 棕 b 棕 1 棕 2 棕 3 7 T e = 3 2 n p ψ f i + L - L i i 1 1 ψ f n p L L i i i s = i 2 + i 2 2 i s H = i 2 + i 2 + λ T e n p ψ f + L - L i i T e ψ f + 3n p i = ( ) θ < 90 The trajectory of current an voltage of IPMSM S FWR1 θ 90 S FWR2 8T e ψ f 3n p 2 ( ) - 4 ψ 2 f - 4 L - L 2 4T e 3n 2 ψ 2 f - 4 L - L [ - ψ 2 f ] p θ θ

3 -Imax 转矩递增方向电压递减方向恒转矩方向 2 i O i Fig. 2 Directions of Torue an voltage W = W 2 + W 2 ( - T e T e i i ) = ( n p L - L i + ψ f 15 ΔU n p L - L i ) = T T 7 i * T = T 2 + T 2 = αδut /TS FWR1 16 m { βδuw /WS FWR2 9 i * = αδut /TS FWR1 17 m { βδuw /WS FWR2 F = 1 2 u2 + u 2 8 α β i = i * + i * m i = i * + i * 19 m u - L i ω r 9 i * i * MTPA i * m u L i + ψ f ω r 10 i * m i i ω r ΔU > 0 i * - F = - ( F F m > 0 i i ) = i * mi * m - L ω r u L ω r u = U U 11 i * m I min = I smax - i rate I smax i rate U = U 2 + U cosθ = T T U U 12 TU I max = i * 2 + i * 2 cosθ θ - i 2 20 * i,m 设定电流驻 U + * - Us i,m 修正值计算 -Imin U smax ΔU i * + 7 Te * MTPA i * + i *2 +i *2 +i ** S FWR1 T T 11 S FWR2 MTPV 3 MTPV Fig. 3 Block iagram of flux weakening metho T e i U s i - T e i U s i = L - L L 2 i 2 + L - L L 2 i 2 + 2L - L L i ψ f + L ψ f = 0 14 MTPV 14-2 L - L L 2 i - 2 L - L L 2 i - 2L - L L ψ f = W W } Usmax= U c 姨 3 Imax 弱磁控制器 i ** 电流调节器姨 i ** is Us= 姨 u 2 +u 2 is u u Uc SVPWM 坐标变换 r 6 IGBT 逆变器 ia ib IPMSM

4 STM32F g cm W IPMSM IPMSM STGF7NC60HD IPMSM 80 W AD 500 Hz 24 V 2. 1 A r /min 2. 9 A L =0. 5 mh L = 0. 8 mh ψ f = Wb Ω 2 Te * /(N m) i ** /A (a) 转矩变化曲线 - (c) 直轴电流曲线棕 /(r min -1 ) i/a (b) 转速变化曲线 () 交轴电流曲线 Fig. 4 4 The lines of the variants of flux weakening metho 15 MTPA FWR1 FWR2 MTPA FWR1 FWR2 驻 V/V (a) 弱磁控制算法电流调节器输出电压与电压设定值的差值 cos (b) 弱磁控制算法 cos 的变化曲线 i ** /A MTPA FWR1 FWR MTPA FWR1 FWR2-1.5 (c) 弱磁控制算法直轴电流曲线 i/a - () 弱磁控制系统交轴电流曲线 Fig. 5 5 Dynamic performance of the variants flux weakening control system

5 T * e = N m ω r /min 4 ω i i MTPA s 15 s r /min 5 a ΔV MTPA ΔU > 0 ΔU ΔU = 0 MT- PA S FWR1 5 b cosθ cosθ cosθ 0 S FWR1 S FWR2 S FWR2 cosθ 0 5 c i 5 i i * i * mi * m 5 c 5 9 s MTPA i i A 1 A 9 s 15 s S FWR1 i i A 0. 4 A 15 s 2 i i i * MTPA MPTV 3 1BOSE B K. A high-performance inverter-fe rive system of an interior permanent magnet synchronous machine J. IEEE Transactions on Inustry Applications XU LongyaZHANG YuanMUSTAFA K G. A new metho to optimize -axis voltage for eep flux weakening control of IPM machines base on single current regulator C The 11 International Conference on Electrical Machine an Systems October Wuhan China BAE BonhoPATEL NitinSCHULZ Steven. New fiel weakening techniue for achieving wie constant power spee operation with an interior PM alternator machine C 36th IEEE Inustrial Application Society Annual MeetingOctober ChicagoUSA J FENG JianghuaGUI WeihuaXU Junfeng. Flux weakening control research of permanent magnet synchronous machines consiering parameters variation J. Micromotors J LENG ZaixingMA Zhiyuan. Space vector fiel-weakening control of IPMSM rives J. Micromotors J LIU ChunguangZANG KemaoMA Xiaojun. Research on flux weakening control of PMSM for electric rive armore vehicle J. Small & Special Electrical Machines C 2007 International Conference on Electrical Machines an SystemsOctober Se constant power spee ration oulkorea M.. J. HOU Xuelu. Research an simulation on current control of permanent magnet synchronous motor use in electric vehicle J. Agricultural Euipment & Vehicle Engineering IOANNO P ASUN J. Robust Aaptive Control M. NJ Prentice Hall SIMANEK JNOVAK JCERNY Oet al. FOC an flux weakening for traction rive with permanent magnet synchronous motor C 2008 IEEE International Symposium on Inustrial ElectronicsJune 30-July 22008CambrigeUK KWON TaesukSUL Seungki. A novel flux weakening algorithm for surface mounte permanent synchronous machines with infinite

718 30,. [8],,,,,,. PMSM, (q ) (d ).,,,,. 2 IPMSM (Mathematical model of IPMSM and analysis of the flux-weakening control operation) 2.1 IPMSM (Mathem

718 30,. [8],,,,,,. PMSM, (q ) (d ).,,,,. 2 IPMSM (Mathematical model of IPMSM and analysis of the flux-weakening control operation) 2.1 IPMSM (Mathem 30 6 2013 6 DOI: 10.7641/CTA.2013.21024 Control Theory & Applications Vol. 30 No. 6 Jun. 2013,,, (, 410083) : (IPMSM),.,,,, PI.,,.,., STM32F103R8T6 ARM, IPMSM. : ; ; ; : TM301.2 : A Flux-weakening control