Abstract: Aimed to develop the DRAPES global ensemble prediction system with the singular vectors (SVs) as the initial perturbations, the calculation of SVs with total energy norm as weight matrix is performed by using of the tangent linear and adjoint model of the DRAPES global dry dynamical model.The formulation of total energy norm based on the forecast variables of the DRAPES model is derived,and the correctness of SV calculation is verified by the singular vector verification method and linear approximation.The structure of SVs over the middle-high latitude area and its linear evolution are analyzed through the 10-days experiment,and it is found that the DRAPES SVs based on total energy norm can grow fast in the optimal time interval,and they can reflects the characteristics of the atmosphere baroclinic instability over in the middle-high latitude area.The vertical distribution of the total energy of DRAPES SVs and its components(kinetic energy and potential energy) also show that the DRAPES SVs could represent the growing characteristics of the baroclinic instability at the different levels in the troposphere in the middle-high latitudes.