“…Mrutyunjaya Mangaraj Email: mrutyunjaya.m@srmap.edu.in 2 N Toushif Khan Email: tousif.k@srmap.edu.in 3 B Chitti Babu Email: bcbabu@iiitdm.ac.in 4 S M Muyeen Email: sm.muyeen@qu.edu.qa Indian Institute of Information Technology, Design and Manufacturing Kancheepuram, Chennai-600127. 4 Department of Electrical Engineering, Qatar University, Doha, Qatar-2713 These algorithms like Kernel Hebbian Least Mean Square [7], Levenberg Marquard back propagation [8], Hebbian Least Mean Square [9], Sparse Least Mean Square [10], Adaptive control [11], Recurrent neural network [12][13], CFNN-AMF [14], Neuro Fuzzy learning [15], neural network [16][17][18], Predictive control [19][20], PNK-LMF [21] are reported for harmoncs ellimination. But, few authors are addressed synchronous theory (abc-dq0) rotating model for SMES based VS-APF to improve the steady and dynamic state performance [3][4][5][6].…”