Abstract:The digital control system based on field-programmable gate array(FPGA) or application specific integrated circuits(ASIC) has the advantages of full-hardware, parallelism, and flexibility, so it is a high-speed, high-performance solution of magnetic encoder-to-digital converter(MEDC) with phase- locked loop(PLL). But there are some problems such as determination of parameters-region, optimization of word-length etc, which have a close connection with discrete period. The delta operator is employed to discrete the continuous-time PLL system so as to do the stability analysis of discrete-time PLL system with one-step-delay firstly, so the integer word-length of coefficients are determined. And then, error source model and error propagations model based on L2-norm are established, and the effect of discrete period on fractional word-length of improved PLL is analysed, so the design method of fractional word-length is derived. The simulation and experimental results verify the correctness and effectiveness of proposed analysis.
刘亚静, 范瑜. 离散周期对伺服系统用全数字硬件化锁相环的影响机理[J]. 电工技术学报, 2014, 29(9): 153-160.
Liu Yajing, Fan Yu. Effect of Discrete Period on All-Digital Full-Hardware Phase-Locked Loop Using in Servo System. Transactions of China Electrotechnical Society, 2014, 29(9): 153-160.
[1] Ahn H T, Allstot D J. A low-jitter 1.9V CMOS PLL for Ultra SPARC microprocessor applications[J]. IEEE Journal of Solid-State Circuits, 35(3): 450-454. [2] Akamine Y, Kawabe M. Delta-sigma PLL transmit- ter with a loop-bandwidth calibration system[J]. IEEE Journal of Solid-State Circuits, 43(2): 497-506. [3] 龚锦霞, 解大. 三相数字锁相环的原理及性能[J]. 电工技术学报, 2009, 24(10): 94-99. Gong Jinxia, Xie Da. Principle and performance of the three-phase digital phased-locked loop[J]. Transactions of China Electrotechnical Society, 2009, 24(10): 94-99. [4] 孙浩, 袁慧梅. 基于FPGA的三相锁相环的优化设计方案. 电力系统保护与控制[J]. 2009, 37(10): 98-101. Sun Hao, Yuan Huimei. Optimized implementation scheme of three phase phased-locked loop based on FPGA[J]. Power System Protection and Control, 2009, 37(10): 98-101. [5] Sarma S, Agrawal V K, Udupa S. Software-based resolver-to-digital conversion using a DSP[J]. IEEE Transactions on Industrial Electronics, 2008, 55(1): 371-379. [6] Emura T, Wang L. A high-resolution interpolator for incremental encoders based on the quadrature PLL method[J]. IEEE Transactions on Industrial Electronics, 2000, 47(1): 84-90. [7] 刘亚静, 范瑜. 全数字伺服电机轴角转换单元建模与分析[J]. 中国电机工程学报, 2013, 33(3): 148-154. Liu Yajing, Fan Yu. Modeling and analysis of an all- digital magnetic encoder-to-digital converter for servo motors[J]. Proceedings of the CSEE, 2013, 33(3): 148-154. [8] Fu Y, Labrique F. Stability study of the digital con- trol of induction motor drive systems using Matlab[J]. Converter Technology & Electric Traction, 2001(1): 15-20. [9] 单鸿涛, 彭力, 孔雪娟. 数字化过程对脉宽调制逆变电源性能的影响机理[J]. 中国电机工程学报. 2009, 29(6): 29-35 Shan Hongtao, Peng Li, Kong Xuejuan. Effect if digital process on the performance of pulse width modulation inverter[J]. Proceedings of the CSEE, 2009, 29(6): 29-35. [10] 王凤岩, 任黎立, 许建平. 基于F2812的逆变器数字控制器的建模与设计[J]. 电工技术学报, 2009, 24(2): 94-99. Wang Fengyan, Ren Lili, Xu Jianping. Modeling and design of digital controller for inverter based on F2812[J]. Transactions of China Electrotechnical Society, 2009, 24(2): 94-99. [11] Wu J, Chen S, Li G. An improved closed-loop stability related measure for finite-precision digital controller realizations[J]. IEEE Transactions on Automatic Control, 2001, 46: 1162-1166. [12] Yao C Kuang, Yu T Ying. Design of a sensorless commutation IC for BLDC motors[J]. IEEE Transac- tions on Power Electronics, 2003, 18: 1365-1375. [13] Liang J Shih, Yueh C Meng, Yi J Jin. Design and implementation of an FPGA-based control IC for AC-voltage regulation[J]. IEEE Transactions on Power Electronics, 1999, 14: 522-532. [14] Naouar M W, Naassani A A, Monmasson E. FPGA- based predictive current controller for synchronous machine speed drive[J]. IEEE Transactions on Power Electronics, 2008, 23: 2115-2126. [15] 刘亚静. 多轴电机控制的集成技术研究[D]. 哈尔滨: 哈尔滨工业大学, 2011. [16] Mori T, Kokame H. a note on the stability of delta-operator induced systems[J]. IEEE Transactions on Automatic Control, 2000, 45(10): 1885-1886.