This work recommends a new model diminution scheme for the approximation of large-scale systems. The recommended scheme is focused on the modal technique that ensures the stability of the approximated model for the stable large-scale model. In this recommended method, the coefficients of the denominator polynomial of the approximated system are achieved by applying the dominant pole scheme and the Cauer second form is engaged for the computation of the coefficients of the numerator polynomial. The proposed method ensures the retention of important features of the original system such as stability, time moments, Marko parameters, static and dynamic responses. The application of recommended algorithm on a given real-time large-scale system shows the accuracy and effectiveness. The various error indices for example integral square error (ISE), integral absolute error (IAE), integral time-weighted absolute error (ITAE) and relative integral square error (RISE) are evaluated for validating the advantages of the recommended algorithm in comparison with some other newly recommended and standard system reduction methods.