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My bidirectional PFC designs are basically using constant controller parameters independent of power sign. Limit values specified in IEEE1547 should be implemented, e.g. allowing maximal 110 % of rated grid voltage in continuous operation.

Regarding possible instability,  we need to distinguish between control of average quantities, e.g. dc link voltage respectively power fed to the grid and instantaneous quantities like sinusoidal grid current, represented by different control loops.