Theory and implementation of Edge Matching (EM) are presented in this paper. The EM concerns the spatial relation between a blade trailing edge and the leading edge of the sequent blade row. It reflects spanwise distribution of phase angles of certain performance parameter variation versus unsteady inflow. While EM theory is described first. Two methods of implementing EM, namely spanwise integration (SI) and full optimization (FO), are described. After theoretical analysis, the interaction between linear turbine cascade and upstream wake is used to illustrate EM numerically. More specific and detailed numerical investigations are presented in accompanying paper ([1]). All these suggest that EM provides a new degree of freedom (DOF) for turbomachinery design with potentials of improving aerodynamic, aeroelastic, aeroacoustic and other performances by matching phase angles of unsteady flow along the whole span.

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