We propose new non-quasi-static (NQS) FET-based compact model with non-resonant plasmonic detection mechanism in terahertz (THz) frequency regime by verifying the successful transient and plasmonic response simulation at Rg= 0.2 Ω. In comparison with experimental results with td= 50 ns, we obtain the validity of our compact model for designing a real-time operating multi-pixel plasmonic THz detector.