Electri c Machines and Control Vol. 21 No. 11 Nov mixed logical dynamical MLD finite control set model p

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1 Electri c Machines and Control Vol. 21 No. 11 Nov mixed logical dynamical MLD finite control set model predictive control FCS-MPC FCS-MPC mixed integer quadratic programming MIQP DOI /j. emc TM 464 A X FCS-MPC for a new inverter HAN Jian-ding 1 QI Rong 1 LEI Xiao-ben 2 1. College of Automation Northwestern Polytechnical University Xi an China 2. Institude of Aeronautics and Astronautics Engineering Air Force Engineering University Xi an 7138 China AbstractConsidering the fact that traditional switching function model can only describe current control changes while ignoring condition changes mixed logic dynamic MLDmodel for a new inverter was built and the prediction model was used to research finite control set model predictive control FCS- MPCfor inverter. The distribution properties was fully considered by FCS-MPC the switch state. Comparing with the reference voltage the difference between reference voltage and real voltage was regarded as the objective function. The switch state which minimized objective function was used as inverter input. The mixed integer quadratic programming MIQPwas well solved through this method. Its feasibility and validity was verified by the simulation and test which has supported the method. Keywordsnew invertermixed logic dynamic modelmodel predictive controlfinite controlmixed integer quadratic programming JM

2 MLD a MLD 1i a > s 1 = s 4 = 1 S a1 MPC S a4 i a O S a4 3 a O u ag = V dc /2 MPC 2i a > s 1 = 1 s 4 = S a1 4-5MLD MPC S a4 S a1 a DC-DC u ag = V dc 6 MPC 3i a > s 1 = s 4 = S a1 S a4 S a4 u ag MLD MPC = V dc /2 MIQP 4i a < s 1 = s 4 = 1 S a4 O u ag = V dc /2 MIQP MPC 5i a < s 1 = 1 s 4 = S a4 u ag = V dc MLD FCS-MPC 6i a < s 1 = s 4 = MIQP S a4 u ag = V dc MLD - 1 VT 1 a ~ VT 4 O i a > i a < σ a = 1 7σ a = a MLD 8 s 1 = s 4 = 1 σ a = 1 s 1 = s 4 = σ a = 1 s 1 = s 4 = 1 σ a = u ag = V dc /2 s 1 = 1 s 4 = σ a = 1 s 1 = s 4 = σ a = s 1 = 1 s 4 = σ a = u ag = V dc 1 u ag u ag = V dc s - 4s 1 + s - 1 σ - a+ 1 2 s- 4s 1 + s - 1 σ - a 1 Fig. 1 New inverter topology 2 b c u ag = V dc s - 4s 1 + s - 1 σ - a+ 1 T 1 T s- 4s 1 + s - 1 σ - a 1 u bg = V dc s - 6s 3 + s - 3 σ - b+ 1 i 2 s- 6s 3 + s - 3 σ - b a i A i a u cg = V dc s - 2s 5 + s - 5 σ - c+ 1 2 s- 2s 5 + s - 5 σ - c s 1 ~ s 6 S a1 ~ S a6 1 3

3 11 21 a b c xk + 1= A * xk+ B * 1 u O1 k+ B * 2 i o k } yk= Cxk u ao1 u bo1 u co 1 = V dc 3 s - 4s 1 + s - 1 σ - a s 4 s 1 + s - 1 σ - a s - 6s 3 + s - 3 σ - b s- 6s 3 + s - 3 σ - b s - 2s s 5 σ - c s- 2s 5 + s - 5 σ - c 4 4 u O1 = 2 3 u ao1 + αu bo1 + α 2 u co1 5 α = e j2π/3 11 L a L b L c 11 u c k i af i bf i cf C a C b C c u ac u bc u cc i ao i bo i co 1. 2 i f = 2 3 i af + αi bf + α 2 i cf u c = 2 3 u ac + αu bc + α 2 u cc i o = 2 3 i ao + αi bo + α 2 i co 6 u * c k + 1= 3u * c k- 3u * c k - 1+ u * c k - 2 di f = 1 dt L u 12 O1 - u c 7 x = i f A = B 1 = 1 L u c T - 1 L 1 C T B 2 = - 1 C T C = 1 9 MLD x = i f 1 u c T i f u c A * = e AT s T s B * 1 Ts e At 1 = T s e At B 1 dt B 1 = 1 L T B * 2 = B 2 dt B 2 = - 1 C T u c k + 1= e AT s u c k- 1 C T s e At dt i o k u c k + 1 k + 1 1k FCS-MPC du c = 1 dt C i MPC f - i o MLD x = Ax + B 1 u O1 + B 2 i o 1 - } 9 11 y = Cx 8 FCS-MPC 1 8 u c k g = u * - u cα cα 2 + u * - u cβ cβ 2 13 u * cα u* cβ u cα u 3 1 Matlab / SIMU-

4 22 21 LINK V dc = 2 R = 5 Ω a THD = 1. 65% 3 27 V L = 2 mh C = 4 μf T s = 1 μs 4 Hz MLD 3 1 MLD MLD 2 V V 2 V a THD =. 82% 3 R = 2 Ω L = 27 mh 5 4 MLD MLD a THD =. 54% 2 MLD a THD =. 59% total harmonic distortion THD 1 THD 3 MLD FCS-MPC Fig. 3 FCS-MPC for inverter based on MLD model 6. 2 s 2 Ω a THD =. 74% TMS32C6713 L = 2 mh C = 2 FCS-MPC 4 μf T s = 1 μs 7 Fig. 2 FCS-MPC for inverter on switch function model 7a THD = 2. 44% 7b. 5 s FCS-MPC THD = 2. 56%

5 韩建定等新型逆变电路有限控制集模型预测控制第 11 期图6 Fig 6 23 电路从空载到满载时的输出电压 Output voltage of inverter from no-load to full-load 图4 Fig 4 输出电压为 2 V 的控制效果 Control result of 2 V output voltage 图7 Fig 7 图5 Fig 5 阻感负载的控制效果 Control result of inductance obstruction load 4 结实验结果 Test result 论本文对一种新型的逆变电路的 MPC 方法进行

6 24 21 MLD FCS-MPC MIQP 1CORTES P ORTIZ G YUZ J I. Model predictive control of an inverter with output LC filter for UPS application J. IEEE Transactions on Industrial Electronics J ZHENG Xuesheng LI Chunwen RONG Yuanjie. Hybrid dynamic modeling and model predictive control for DC /AC converterj. Transactions of China Electrotechical Society STEFAN A SEBASTIEN M MANFRED M. Sampled data model predictive control of a voltage source inverter for reduced harmonic distortion J. IEEE Transactions on Control Systems Technology MOHAMMAD H ALESSANDRO G. Hybrid modeling and control of switching DC-DC converter via MLDsystemsC/ /IEEE International Conference on Automation Science and Engineering August Italy STEFAN A SEBASTIEN M MANFRED M. Piecewise affine modeling and control of a step-up DC-DC converter C/ / Proceedings of the 21 American Control Conference June 3-July 2 21 Baltimore USA CORTES P KAZMIERKOWSKI M P KENNEL R M. Predictive control in power electronics and drivesj. IEEE Transactions on Industrial Electronics J LI Ning LI Yinghui ZHU Xihua et al. Hybrid system modeling and fault diagnosis of fault tolerant inverter J. Electric Machines and Control DC /DC J ZHANG Ju XIE Zuozhang YANG Guangli et al. Mixed logical dynamical modeling and constrained optimal PWM control of DC / DC converters J. Electric Machines and Control DC /AC 9ALBERTO B NICOLO G. Logic-based solution methods for optimal control of hybrid system J. IEEE Transactions on Automatic Control BAEKY LEE K J HYUN D S. Improved predictive current control for grid connected inverter applications with parameter estimationj. IEEE Transactions on Industrial Electronics CORTESP RODRIGUEZ J QUEVEDO D E. Predictive current control strategy with imposed load current spectrumj. IEEE Transactions on Power Electronics FS-MPC STATCOM J YANG Xingwu XU Yajun XUE Hua. Control delay elimination for cascaded multilevel STATCOM based on finite states model predictive controlj. Electric Machines and Control

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