G ω s τ f τ B K k τ k T T s = f s = K W' f s 4-6 K 2 ω s K K Rowen W' f s T L 5 - J r 8 T L s = 0 W' f s ω s G T s = ω s W' f s = K J r

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1 ELECTRI C MACHINES AND CONTROL Vol. 6 No. 6 Jun TM 624 A X Design of micro-turbine disturbance rejection controller design and verification method DUAN Jian-dong SUN Li ZHAO Ke WU Feng-jiang WANG Yao-qiang Department of Electrical Engineering Harbin Institute of Technology Harbin 5000 China Abstract In order to shorten the design cycle of the micro-turbine controller and verify the performances before actual test micro-turbine controller design and verification methodology were proposed. Considering the main inertia of the micro-turbine control system gets the small perturbation transfer function model of the steady-state operating point dynamic model similarity between micro-turbine control system was used and induction motor speed control system the simulation system of micro-turbine was given. Two controllers were designed and the performances were compared based on the simulation system. For resolving problems of high speed volatility and long dynamic adjustment time in the actual system the load feedforward control was proposed. Simulated and experimental results prove that the new micro-turbine controller design and verification method are feasible and effective and the load feedforward control is validated to enhance the performance of resisting disturbance greatly. Key words micro-turbine controller design performance validation load feedforward control HIT. NSRIF

2 G ω s τ f τ B K k τ k T T s = f s = K W' f s 4-6 K 2 ω s K K Rowen W' f s T L 5 - J r 8 T L s = 0 W' f s ω s G T s = ω s W' f s = K J r s K 2-4 G s = G ω s Matlab K r τ s τ 2 s e - τ B s 2 K r = K K k /K 2 τ = τ f τ k τ 2 = J r /K 2 τ B 棕 * (s) 棕 (s) - 速度调节燃料伺服 G 棕 (s) Wf(s) 子 fs T L(s) 燃烧室压气机透平 - 轴系 e - 子 B s W K f (s) k f 子 ks T J T(s) rs 棕 (s) Fig. Dynamic structure of micro-turbine G n s K DA DA K h τ h T e T L J m α r /min D /A

6 2 n * (s) - 控制器速度调节 DA 转换 G n(s) n(s) K DA 琢纯延时 e - 子 Z s VVVF 变频器 K h 子 hs 异步电机棕 (s) f 2 T e(s) - T L(s) 轴系 J ms 棕 (s) Fig. 2 2 Dynamic structure of the simulation system J m = 0.

55 n p U s ω ω Bode 3 R' r VVVF K s = U s /ω T L s = 0 ω s ω s G m s = ω s ω s = τ m s 4 PI τ m = J m R' r / 3n p K 2 s αk DA K h G s = G n s τ h s τ m s 5 2 5-00 -50 0-90 τ Z -80 αk DA K h G s = G n

3 6 2 n * (s) - 控制器速度调节 DA 转换 G n(s) n(s) K DA 琢纯延时 e - 子 Z s VVVF 变频器 K h 子 hs 异步电机棕 (s) f 2 T e(s) - T L(s) 轴系 J ms 棕 (s) Fig. 2 2 Dynamic structure of the simulation system J m = kg m 2 R' r = 0. 5 Ω U sn =220 V ω N =34 rad/s U ( s ω ) 2 ω - ω 3 R' r T e = f 2 3n p n p U s ω ω Bode 3 R' r VVVF K s = U s /ω T L s = 0 ω s ω s G m s = ω s ω s = τ m s 4 PI τ m = J m R' r / 3n p K 2 s αk DA K h G s = G n s τ h s τ m s τ Z -80 αk DA K h G s = G n s τ h s τ m s e - τ Z s e - τ Z s τ Z ms -90 αk DA K h G s = G n s τ h s τ m s τ Z s DA K DA = K h = τ h = s τ Z = 0. 0 s Fig. 3 τ m = s α = 相位 /( ) 幅值 /db 相位 /( ) 幅值 /db K pi=7.75 K pi=4.97 无调节器 f /(rad/s) (a) 典型 Ⅰ 型系统 K pi=0.94 K pi=.93 无调节器 f /(rad/s) (b) 典型 Ⅱ 型系统 Bode The Bode diagrams of the simulation system

4 22 6 PI τ s G n s = K pi τ s 8 K pi τ τ /K pi 7 3 Ⅰ PI PI Ⅱ Bode 3 PI τ h s τ Z s G Ln s = K pi K n - τ h s J m s K ε τ m s 9 Table 2 Designing control parameters s 0. s s 0. s s 0. 36s s 0. 8s s s s s s s s s s s 0% % % % Ⅰ Ⅱ K n = αk DA K h K ω 4 G L s τ h s τ Z s τ h s - τ h K DA K h K G' Ln s = ω sg L s K pi K n τ h s - τ h s J m s K ω τ m s τ h s 0 G L s = τ h s / K DA K h K ω τ h τ Z s 2 G' Ln s = K pi K n - τ h s J m s K ω τ m s 0 2 n (s) * - n(s) G n(s) G L(s) T - L(s) 棕 e - 子 Z s K (s) T e(s) K h DA f 2 子 hs J ms 琢棕 (s) Fig. 4 4 Load feedforward control diagram of the simulation system 9 2 Matlab /SIMULINK 5 a Ⅰ 5 b Ⅱ Ⅰ 5 a 5 b Ⅰ Ⅱ 5 c 5 d Ⅰ Ⅱ 4

5 6 23 转速 (50r min - / 格 ) 850 转速 (50r min - / 格 ) 850 K pi=4.97 K pi=7.75 转速给定 (a)Ⅰ 型系统的转速阶跃响应 K pi=0.94 K pi=.93 转速给定 (b)Ⅱ 型系统的转速阶跃响应 K pi = τ = r /min 900 r /min 900 r /min 2 00 r /min 7 a b 20 r /min 7 c 7 d 转速 (50r min - / 格 ) 750 转速 (50rr min - / 格 ) 800 无负载反馈有负载反馈转速给定 (c)Ⅰ 型系统突加负载有无负载前馈对比无负载反馈有负载反馈转速给定 (d)Ⅱ 型系统突加负载有无负载前馈对比 Fig. 5 5 Simulation waveforms 6 Ⅰ 控制器 Matlab 负载控制燃机转速燃油调节输出电枢和励磁 PWM Fig. 6 采样 6 功率驱动负载投切电路其他参数转速处理变频器工率驱动蓄电池负载步进电机异步电机直流电机 The simulation system schematic diagram n(500r min - / 格 ) n(500r min - / 格 ) Fig. 7 (a) 转速阶跃降落波形 (c) 无负载前馈突加负载 7 5 n(500rr min - / 格 ) n(500r min - / 格 ) (b) 转速阶跃增加波形 (d) 有负载前馈突加负载 The simulation system experimental waveforms. J ZHAO Ke GENG Jiamin SUN Li. Novel grid-connected control tecnniques for the microturbine generation system J. Electric Machines and Control

6 Symposium Ames 5. J GENG Jiamin ZHANG huaguang ZHANG Hongjie. Design and research of bidirectional electric converter for micro - turbine J. Electric Machines and Control DAVIS M W GIFFORD A H KRUPA T J. Microturbines-an economic and reliability evaluation for commercial residential and remote load applications J. IEEE Transactions on Power Systems engine digital control regulator J. Journal of Aerospace Power J XU Gang LIN Rumou SHAO Yanjun et al. Study on universality and precision of gas turbine modeling J. Proceedings of the CSEE NITAIGOUR P M KISEON K. A prototype for hardware-in-theloop simulationof a distributed control architecture J. IEEE Transactions on Systems Man and Cybernetics Part C Applica- 5. tions and Reviews J GUILLAUD X DEGOBERT Ph LORIOL D. Real-time simulation ZHANG Huaguang DENG Wei GENG Jiamin. Nonlinear modeling of a micro-turbine integrated in a distribution network C / / and stability analysis of gas turbine used for electricity generating IEEE International Symposium on Power Electronics Electrical J. Proceedings of the CSEE KUNITOMI K KURITA A OKAMOTO H. Modeling frequency dependency of gas turbine output C / /IEEE Conference on Power Engineering Columbus. 7 ROWEN W I. Simplified mathematical representations of heavy-duty gas turbines J. American Society of Mechanical Engineers Journal of Engineering for Power Working Group on Prime Mover and Energy Supply Models. Dynamic models for combined cycle plants in power system studies J. IEEE Transactions on Power Systems Working Group on Prime Mover and Energy Supply Models. Hydraulic turbine and turbine control models for system dynamic studies J. IEEE Transactions on Power Systems GUDA S R WANG C NEHRIR M H. A simulink-based microturbine model for distributed generation studies C / /IEEE Proceedings of the Thirty-Seventh Annual North American Power. J ZHANG Huisheng LIU Yongwen SU Ming et al. Hardware-inthe-loop simulation of the speed regulator of gas turbine J. Journal of System Simulation J CHENG Tao. Hardware in the loop simulation of minitype turbojet Drives Automation and Motion Taormina 6. 5 SOON K Y HUGHES F M MILANOVIC J V. Comparative analysis and reconciliation of gas turbine models for stability studies J. IEEE Power Engineering Society General Meeting Tampa 7. 6 SAHA A K CHOWDHURY S CHOWDHURY S P et al. Modeling and performance analysis of a microturbine as a distributed energy resource J. IEEE Transactions on Energy Conversion ROWEN W I. Simplified mathematical representations of single shaft gas turbines in mechanical drive service C / /International Gas Turbine and Aeroengine Congress and Exposition Cologne CENTENO P EGIDO I DOMINGO C et al. Review of gas turbine models for power system stability studies C / /9th Spanish Portuguese Congress on Electrical Engineering Marbella 5.

34 22 f t = f 0 w t + f r t f w θ t = F cos p - ω 0 t - φ 1 2 f r θ t = F cos p - ω 0 t - φ 2 3 p ω 0 F F φ 1 φ 2 t A B s Fig. 1

34 22 f t = f 0 w t + f r t f w θ t = F cos p - ω 0 t - φ 1 2 f r θ t = F cos p - ω 0 t - φ 2 3 p ω 0 F F φ 1 φ 2 t A B s Fig. 1 22 2 2018 2 Electri c Machines and Control Vol. 22 No. 2 Feb. 2018 1 2 3 3 1. 214082 2. 214082 3. 150001 DOI 10. 15938 /j. emc. 2018. 02. 005 TM 301. 4 A 1007-449X 2018 02-0033- 08 Research of permanent