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The eddy dissipation concept (EDC) for turbulent combustion modeling was proposed by Magnussen on the Reynolds averaged Navier-Stokes (RANS) basis. This study has extended the EDC in the frame of large eddy simulation (LES). Since the fine structures in EDC are still not resolved in LES, they are modeled with SGS turbulent kinetic energy and its dissipation rate instead of mean quantities in RANS. Furthermore, a new expression is proposed for the reacting fraction of the fine structures to alleviate the limitations of original formula in the LES framework. Three fire cases including a 7.1cm methane fire, a 30cm heptane fire and a 30.5cm methanol fire are simulated to verify the improved EDC (M-EDC) within the FireFOAM solver. The predictions from the M-EDC are in good agreement with the measurements, while the original EDC tends to under-predict temperature and velocity.