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It has been recognized that BaHfO3 (BHO) pinning centers introduced into GdBa2Cu3O6 +y (GdBCO) coated conductors show high pinning performance at high magnetic fields. This pinning property was ascribed to the strong pinning force of the BHO nano-rods and also to the improved upper critical field, Bc2, probably due to the scattering of electrons by the interface between the nano-rods and the superconducting matrix. In this paper the critical current properties of GdBCO coated conductors with different amounts of BHO nano-rods are theoretically investigated. It is found that BHO nano-rods are promising to improve the high field performance of GdBCO coated conductors.