16 17 switch reluctance motors SRM S-MCSRM 1 SRM 1 S-MCSRM 1 S-MCSRM SRM 3 3 SRM S-MCSRM SRM 6 MCSRM SRM 3 A2 SRM B1 C2 B1 C2 SRM A1 A3 A1 A3 5

Size: px

Start display at page:

Download "16 17 switch reluctance motors SRM S-MCSRM 1 SRM 1 S-MCSRM 1 S-MCSRM SRM 3 3 SRM S-MCSRM SRM 6 MCSRM SRM 3 A2 SRM B1 C2 B1 C2 SRM A1 A3 A1 A3 5"

棓划乐
5 years ago
Views:

1 ELECTRI C MACHINES AND CONTROL Vol. 17 No. 5 May S - MCSRM : 针对短磁路互感耦合开关磁阻电机 ( S-MCSRM) 的绕组连接方式和原理, 建立电机的简化磁网络模型通过插值法计算得到开关磁阻电机 ( SRM) 磁链 / 磁势曲线簇在此基础上, 推导 S-MCSRM 磁链方程, 利用二分法计算 S-MCSRM 磁链特性根据虚位移原理和 SRM 磁链 / 磁势模型, 得到 S-MCSRM 两相同时导通时的矩角特性利用有限元软件, 从电磁场分析的角度, 计算获得 S-MCSRM 的电磁特性, 并与磁网络模型法进行比较, 比较结果表明, 该非线性建模法的误差不超过 2%, 验证了建模方法的合理性和有效性根据建立的 S-MCSRM 数学模型, 比较分析了电机和传统 SRM 的电磁转矩及转矩脉动系数 : 开关磁阻电机 ; 短磁路互感耦合 ; 非线性数学模型 ; 全桥式功率变换器 TM 343 A X Mathematical modeling for S-MCSRM with 3-phase full bridge converter MA Qing-qing 1 GE Bao-ming 1 BI Da-qiang 2 1. School of Electrical Engineering Beijing Jiaotong University Beijing 144 China 2. State Key Lab of Power Systems Tsinghua University Beijing 184 China Abstract According to the winding connection way and principle of short magnetic circuit mutual inductance coupling switch reluctance motor S-MCSRM simplified magnetic network model is established in the paper. Flux /magnetic potential curves of switch reluctance motor SRM were calculated by the interpolation method. Based on this the paper deduced S-MCSRM flux linkage equation through the magnetic network model and also calculated S-MCSRM flux linkage characteristics by bisection method. Torqueversus-angle characteristic of S-MCSRM was calculated according to the principle of virtual displacements and traditional SRM flux / magnetic potential model when two phases were excited at the same time. The paper calculated the electromagnetic characteristic of S-MCSRM by finite element method FEM from the electromagnetic field analysis and compared results with flux path model method. The results show that the error of model is less than 2% and nonlinear modeling method is reasonable and effective. Finally electromagnetic torque and torque ripple coefficient of two motors are compared and analyzed based on established mathematical model. Key words switch reluctance motors short flux path mutually couple nonlinear mathematical model full bridge power converter : 电力系统及发电设备控制和仿真国家重点实验室开放课题 ( SKLD11KM1) : 马庆庆 ( 1984 ), 男, 博士研究生, 研究方向为电机设计与控制 ; : 葛宝明葛宝明 ( 1971 ), 男, 博士, 教授, 博士生导师, 研究方向为电力电子与电力传动 ; 毕大强 ( 1973 ), 男, 博士, 高级工程师, 研究方向为电力电子技术在电力系统中的应用

2 16 17 switch reluctance motors SRM S-MCSRM 1 SRM 1 S-MCSRM 1 S-MCSRM SRM 3 3 SRM S-MCSRM SRM 6 MCSRM SRM 3 A2 SRM B1 C2 B1 C2 SRM A1 A3 A1 A3 5 C4 B3 C4 B3 SRM B4 C3 B4 C3 A4 A4 SRM (a)s-mcsrm (b)srm SRM 1 SRM Fig. 1 Two types of motor with different 5 winding structure S-MCSRM 6-7 mutually coupled switch reluctance motor MCS- 6 RM insulated gate bipolar transistor IGBT SRM 3 MCSRM MCSRM 9 SRM SRM 8 MCSRM 2 SRM MCSRM i T + a T + b T + c +ic +ic short-flux path mutually coupled switch reluctance motor S-MCSRM C B -ic -ic +ib +ib U dc i A a=-i b -ib -ib -ib SRM b T - c -ia -ia +ia +ia (a) 全桥式功率变换器兹 (b) 导通时序 2 S-MCSRM Fig. 2 The topology and conduction timing of S-MCSRM S-MCSRM S-MCSRM SRM S-MCSRM SRM / C1 B2 +ia S-MCSRM C1 A2 B2

5 3 S-MCSRM 17 L = L aa M ba M ca M ab L bb M cb M ac M bc L cc 1 a b c M L i = [ i a i b ic ] T 2 i a i b i c A B C 1 2 W' = 1 2 it Li = 1 2 L ai 2 a + 1 2 L bi 2 b + 1 2 L ci 2 c + i a i b M ab + i

3 5 3 S-MCSRM 17 L = L aa M ba M ca M ab L bb M cb M ac M bc L cc 1 a b c M L i = [ i a i b ic ] T 2 i a i b i c A B C 1 2 W' = 1 2 it Li = 1 2 L ai 2 a L bi 2 b L ci 2 c + i a i b M ab + i b i c M bc + i c i a M ca 3 SRM S-MCSRM.5 T = W' θ i a i b i c = 1 dl a θ 2 i2 a dθ + 1 dl b 2 i2 b dθ + 1 dl c 2 i2 c dθ + i dm ab ai b dθ + i dm bc bi c dθ + i dm ca ci a dθ 4 S-MCSRM T = 1 2 i2 a dl a dθ + 1 dl b 2 i2 b dθ + i dm ab ai b dθ 5 2 S-MCSRM 2. 1 SRM SRM / 12 /8 3 kw 18 mm 13 mm sign u f a u sign u f w u ψ u = sign u f m u sign u f k u sign u f u u sign u = { 1 u - 1 u < 兹 = 兹 =7.5 兹 =1 兹 =17.5 兹 =2 %%%%%%%%5%%%%%%1%%%%%15%%%%%%2%%%%%25%%%%%3 磁势 /(1At) Fig. 3 3 SRM / Flux linkage / magnetic field potential curves of SRM θ S-MCSRM 6 A B C / f u θ 4 1 At 1 / 磁势 /At mm SRM / Fig. 4 The interpolated flux linkage / magnetic field potential curves of SRM 1 /3 1 / S-MCSRM S-MCSRM 3 5 / 3 A 1 B 1 C 1 u - 3 At 3 At S-MCSRM f a u 5 f w u 1 /3 5 G a G b G c A B C f m u \ f k u 1 /3 u a u b u c F a f u u 5 F b F c 6 7

4 S-MCSRM u cp + u a - 1 F a F b F c + + G a u ḇ G b G c uc - u cp f F a - u cp θ a + f F b - u cp θ b + f F 5 S-MCSRM c - u cp θ c = 18 Fig. 5 The magnetic equivalent circuit of S-MCSRM f Ni a - u cp θ a + f Ni b - u cp θ b + S-MCSRM f Ni c - u cp θ c = 19 Φ j = Φ jj + Φ jk 8 19 k = j k Φ j j Φ jj j u cp u cp 17 Φ jk j k S-MCSRM 2. 3 S-MCSRM i Φ jk = L j + i SRM k σ ( N ) 9 L σ N i j i k j k 8 9 Φ jj = Φ j - L σ k = j k i j + i ( k N ) 1 3 S-MCSRM 4 Φ aa + Φ bb + Φ cc = 11 Φ aa Φ bb Φ cc A B C 8 ~ 12 Φ a + Φ b + Φ c = ψ a ψ b ψ c A B C 13 5 F a = Ni a F b = Ni b 15 F c = Ni c θ a θ b θ c W' = i' ψ a = f F a - u cp θ a ψ b = f F b - u cp θ b ψ c = f F c - u cp θ c 17 A B C SRM 6 u a = F a - u cp u b = F b - u cp 16 5 g u θ u c = F c - u cp 7 ψ i' θ di' θ = const i' = u ψ u θ du θ = const 2 SRM T u θ = W' θ 21 u = const 21 3 S-MCSRM T u θ = W' u θ + Δθ - W' u θ - Δθ 22 2Δθ i a + i b + i c = 12 Δθ 2 ~ 22 SRM Φ a Φ b Φ c A B C 1 u 2 13 N θ ψ a + ψ b + ψ c = 14 W' u θ 2 u θ + Δθ θ - Δθ W' u θ + Δθ W' u θ - Δθ 3 1 2

5 3 S-MCSRM 19 2 1-1 -2 %%%%%%%%%%%1%%%%%%%%%%%2%%%%%%%%%%%3%%%%%%%%%%%4 6 Fig.

5 5 3 S-MCSRM %%%%%%%%%%%1%%%%%%%%%%%2%%%%%%%%%%%3%%%%%%%%%%%4 6 Fig. 6 Fig. 7 SRM The torque versus rotor position angle of SRM with different MMF 磁势 /At The interpolated torque versus position angle with different MMF S-MCSRM A B C T a = g F a - u cp θ a T b = g F b - u cp θ b T c = g F c - u cp θ c 23 u cp T -2. T = T a + T b + T c S-MCSRM JMAG-Studio -1. S-MCSRM A B i b = - i a i c = 25 A B C 1 S-MCSRM 1 a 1 b A 1 A 2 A 2% SRM 5 / S-MCSRM A 1 A 2 A 8 A B 1 A 8 9 Fig. 8 The phase flux linkage characteristic with A phase and B phase excitation for 1 A 2..5 %%%%%%%%%%%1%%%%%%%%%%%2%%%%%%%%%%%3%%%%%%%%%%% (a)a 相磁链 %%%%%%%%%%%1%%%%%%%%%%%2%%%%%%%%%%%3%%%%%%%%%%%4 (b)b 相磁链 %%%%%%%%%%%1%%%%%%%%%%%2%%%%%%%%%%%3%%%%%%%%%%%4 (c)c 相磁链

6 S-MCSRM AB BC CA 2 A 11 a 11 b S-MCSRM SRM.5 %%%%%%%%%%%1%%%%%%%%%%%2%%%%%%%%%%%3%%%%%%%%%% (a)a 相磁链 - %%%%%%%%%%%1%%%%%%%%%%%2%%%%%%%%%%%3%%%%%%%%%% (b)b 相磁链 %%%%%%%%%%%1%%%%%%%%%%%%2%%%%%%%%%%%3%%%%%%%%%%4 (a) 理想电流源下 S-MCSRM 转矩波形 %%%%%%%%%%%1%%%%%%%%%%%2%%%%%%%%%%%3%%%%%%%%%%4 (b) 理想电流源下 SRM 转矩波形 Fig. 9 Fig %%%%%%%%%%%1%%%%%%%%%%%2%%%%%%%%%%%3%%%%%%%%%%4 (c)c 相磁链 A B 2 A The phase flux linkage characteristic with A phase and B phase excitation for 2 A %%%%%%%%%%%1%%%%%%%%%%%2%%%%%%%%%%%3%%%%%%%%%%4 (a)a B% 两相电流为 1%A 时转矩波形 %%%%%%%%%%%1%%%%%%%%%%%2%%%%%%%%%%%3%%%%%%%%%%4 (b)a B% 两相电流为 2%A 时转矩波形 A B 12 The characteristic of torque versus rotor position angle with A phase and B phase excitation 11 Fig A The torque waveforms of two kinds of motors for 2 A excitation current 12 S-MCSRM SRM 转矩脉动系数 /% Fig S-MCSRM 25 传统 SRM %%%%%%%%5%%%%%%%1%%%%%%%15%%%%%%2%%%%%%%25%%%%%%3 电流 /A (a) 电磁转矩 4. S-MCSRM 3.5 传统 SRM %%%%%%%%5%%%%%%%1%%%%%%%15%%%%%%2%%%%%%%25%%%%%%3 电流 /A (b) 转矩脉动系数 Comparison waveforms of two kinds of motors for different excitation currents

7 5 3 S-MCSRM a SRM S-MCSRM S-MCSRM 12 b S-MCSRM S-MC- J SRM SRM 4 S-MCSRM S-MCSRM S-MCSRM S-MCSRM SRM S-MCSRM S-MCSRM USA CLOTHIER A C MECROW B C. Use of three phase bridge in- 1. M. verters with switched reluctance drives C / /Proceedings of the J S CHEN Hao XIE Guilin. Research on three-phase four switches power converter main circuit of the switched reluctance motor drive J. Journal of China Coal Society 2 25 S JAEHYUCK K KRISHNAN R. Novel two-switch-based switched reluctance motor drive for low-cost high-volume applications J. IEEE Transactions on industry applications ZHONG Lianfang XU Wenxian RONG Shicai et al. An investigation on switched reluctance motor and its poser converter circuits J. Journal of South China University of Technology Natural Science Edition LEE J Y LEE B K LEE J J et al. A comparative study of switched reluctance motors with conventional and toroidal windings C / /25 IEEE International Conference on Electric Machines and Drives May San Antonio USA MECROW B C. New winding configuration for doubly salient reluctance machines J. IEEE Transactions on Industry Applications MECROW B C CLOTHIER A C BARRASS P G et al Drive configurations for fully pitched winding switched reluctance machines C / /The 1998 Industry Applications Conference. Thirty- Third IAS Annual Meeting October St. Louis 8 AHN J W OH S G MOON J W. et al. Three - phase switched reluctance motor with two-phase excitation J. IEEE Transactions on Industry Applications th International Conference on Electrical Machines and Drives September Cambridge UK ( 编辑 : 于双 )

4 16 SRM J z J z B x B y SRM J. M. Stephenson J. Corda 1 SRM 6 T. J. E. Miller McGilpM Table 1 The basic parameter o

4 16 SRM J z J z B x B y SRM J. M. Stephenson J. Corda 1 SRM 6 T. J. E. Miller McGilpM Table 1 The basic parameter o 16 2 212 2 ELECTRI C MCHINES ND CONTROL Vol. 16 No. 2 Feb. 212 PC 1 1 2 1 1 1. 158 2. 96223 6523 SRM PC SRM SRM SRM TM 352 17-449X 212 2-39- 5 Performance analysis of a switched reluctance motor based