We　propose　an　efficient　method　to　construct　shortcuts　to　adiabaticity　through　designing　a　substitute　Hamiltonian　to　try　to　avoid　the　defect　in　which　the　speed-up　protocols＇　Hamiltonian　may　involve　terms　which　are　difficult　to　realize　in　practice.　We　show　that　as　long　as　the　counterdiabatic　coupling　terms-even　only　some　of　them-have　been　nullified　by　the　additional　Hamiltonian,　the　corresponding　shortcuts　to　the　adiabatic　process　could　be　constructed　and　the　adiabatic　process　would　be　sped　up.　As　an　application　example,　we　apply　this　method　to　the　popular　Landau-Zener　model　for　the　realization　of　fast　population　inversion.　The　results　show　that　in　both　Hermitian　and　non-Hermitian　systems,　we　can　design　different　additional　Hamiltonians　to　replace　the　traditional　counterdiabatic　driving　Hamiltonian　to　speed　up　the　process.　This　method　provides　many　choices　for　designing　additional　terms　of　the　Hamiltonian　such　that　one　can　choose　a　realizable　model　in　practice.