《Table 1 Pre-synchronization switch closed condition》

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《Research on pre-synchronization control strategy of the micro-grid with multi-VSG》

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As Table.1 shows，the best closing time of presynchronization switch can be recognized by the sign of Uq，the angle frequency of micro-grid，and the angle phase|φ|.If these variables meet the conditions，pre-synchronization dynamic process will be Fig.4（c），so that the active power shock between multi-VSGs can be reduced.Because the range of?and?g changes periodically in[0，2π]，it is difficult to determine if the phase difference in the control program is positive or negative.And Uq is the positive voltage synthesis vector in one and two quadrants，while it is negative in three and four quadrants.Therefore，using Uq and|φ|to control theφvalue before pre-synchronization within a certain range will effectively solve the problem of over-adjustment ofδvalue according to the relationship between the frequency value of micro-grid and power grid.The value of|φ|in this paper is shown in Table 1.