Method and system for operating gas turbine engine systems

Methods and systems for operating a gas turbine engine system are provided. The system includes a gas turbine engine that includes at least one combustor configured to receive a flow of fuel from a flow control device and a fuel control system. The fuel control system includes a piping system configured to channel the flow of fuel from a fuel source to the flow control device, a sensor configured to generate a signal indicative of a property of the flow of fuel wherein the property of the flow of fuel is variable over time, and a controller including a processor. The processor is programmed to receive the generated signal, using a flow model of the piping system and the received signal, iteratively track the progress of a plurality of discrete volumes flowing through the piping system, and control the flow of fuel using the flow control devices.