Nevertheless, rigorous DLE gas turbine regulation in maintaining the specific air-to-fuel ratio during disturbances contributes to frequent gas turbine trips \citep{Zettervall_2019,Aldi_2018,Fentaye_2018}. Therefore, a model that reflects the actual behaviour of the DLE gas turbine is needed to represent the dynamic stability of the system \citep{Tsoutsanis_2019,Mohamed_Iqbal_2018,Mohammadian_2019}.
There are numerous gas turbine models in dynamic studies such as; Rowen’s model \citep{Mohamed_Iqbal_2018,Rowen_1983} , physical model \citep{Chaibakhsh_2018,Rahman_2018,Kang_2018,Montazeri_Gh_2018,Liu_2018,Pires_2018,caceres2018flexible}, IEEE model \citep{Yee_2008}, GAST model \citep{Kang_2018}, WECC/GG0V1 model \citep{Gomez_2018}, aero-derivative model \citep{Huang_2018}, CIGRE model and frequency-dependent model. Apart from that, black-box model also proposed in \citep{Tarik_2017}. The black box method, though, has limitations in the depiction of the operation as it neglects the interpretation of the parameter relationship. Among the models mentioned, Rowen’s model is widely adopted due to the capability to imitate an actual gas turbine operation from the functional derivation of the operating curves \citep{Yee_2008,Pondini_2019}. Since its establishment in 1983, Rowen’s model has various applications in the dynamic study and is vigorously used in present works. It offers a stable model for gas turbine modification in temperature control and stability \citep{Kim_2018}, load frequency control \citep{Balamurugan_2016,Selva_Kumar_2016} and PID control \citep{Eslami_2018}. In \citep{Khamseh_2017}, an integration of Bayesian and Dempster-Shafer theory into Rowen’s model serves as a performance monitoring tool for gas turbines. The well-known model also extended into a fault characterization study in \citep{Meegahapola_2015} for Lean Blowout trip during frequency excursion. The growth of Rowen’s model utilization in this century is notable and previous work in \citep{Omar_2017} highlights the model suitability to represent DLE gas turbine actual operation. Nevertheless, the actual representation of the DLE gas turbine fuel system which differs from the conventional gas turbine has not been developed or established Rowen’s model. This paper aims to highlight the extension of Rowen’s model for DLE gas turbine representation by integrating the fuel system model into the available structure.