基于谐波映射规律的非对称多相电机单频率比例谐振控制器谐波统一抑制策略  

Harmonic Suppression Strategy of Single Frequency Proportional Resonance Controller for Asymmetric Multiphase Motors Based on Harmonic Mapping Law

作　　者：周豪 李辉[1] 向学位 李文东 陈思宇[1] Zhou Hao;Li Hui;Xiang Xuewei;Li Wendong;Chen Siyu(State Key Laboratory of Power Transmission Equipment&System Security and New Technology Chongqing University,Chongqing 400044 China)

机构地区：[1]输变电装备技术全国重点实验室(重庆大学),重庆400044

出　　处：《电工技术学报》2025年第8期2518-2531,共14页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(52207037);电磁能技术全国重点实验室课题(61422172220203)资助项目。

摘　　要：针对多相电机传统谐波抑制策略往往依赖复杂滤波器或观测器提取谐波,且需要构建大量不同频率的比例谐振控制器(PR),导致谐波抑制复杂且实用性差的问题,提出一种基于谐波映射规律的无滤波器单频率PR谐波抑制策略。首先,基于磁动势等效原则,建立非对称多相电机的通用空间矢量解耦矩阵,创立谐波在子平面的映射通式,推导谐波幅值、相位的映射规律。其次,基于图像化的映射规律获取所有子平面谐波的映射轨迹,优化谐波唯一映射的最少相数非对称多相电机拓扑。再次,基于电流移相方法构造虚拟电机,并通过矢量解耦变换子平面提取谐波。然后,通过线性空间旋转变换整合频率,提出基于单频率PR的谐波统一抑制方法。最后,开展双三相电机稳、暂态工况下的谐波提取及抑制实验,提取谐波的还原度可达92%以上且总谐波畸变率由抑制前的15.36%降至2.86%。理论和实验验证了该文所提谐波映射规律及单频率PR谐波统一抑制策略的有效性。The coupling between spatial-harmonic and time-harmonic currents in asymmetric multiphase motors(AMM)increases torque ripple and decreases efficiency,limiting their widespread application.Currently,active harmonic suppression strategies rely on complex filters or observers to extract harmonics and require the construction of numerous proportional resonance(PR)controllers at different frequencies,making the complexity and impracticality of harmonic suppression.Therefore,this paper proposes a single-frequency PR harmonic suppression strategy without filters based on the harmonic mapping law.Firstly,based on the magnetic electromotive force equivalence principle,the universal space vector decoupling matrixes for AMM are established.Then,a mapping formula for harmonics of different frequency components on the subspaces is established.The general formula is decomposed into two independent components:amplitude and phase.The amplitude and phase mapping law of harmonics on the subspaces is derived according to the characteristics of the two components.Secondly,three criteria are proposed to search for the AMM with the minimum number of phases to ensure the unique mapping of harmonics.Based on the graphical representation of the mapping laws,the mapping trajectories of all harmonics are obtained to optimize the AMM topology and establish the subspaces for harmonic mapping.Then,based on the current phase-shifting method,a virtual AMM is constructed,and harmonics are extracted through the vector decoupling transformation subspaces.Finally,after unifying the frequency through linear space rotation transformation,PR controllers with the same resonant frequency are used to regulate harmonics.Harmonic extraction and suppression experiments under steady-state and transient conditions are conducted using a dual three-phase motor.The extracted harmonic amplitudes can reach over 92%of the actual harmonics,demonstrating that the proposed algorithm can effectively separate harmonics.In the harmonic suppression experiment,the strategi

关 键 词：非对称多相电机 谐波抑制 虚拟电机 单频率PR控制 谐波映射规律 

分 类 号：TM351[电气工程—电机]