Table 2 Transfer Function of components of Dz\(\mu\) with their values46.
From: Bayat-driven FOPID controller design for biogas-based microgrid with real-time validation
Distributed Generating Units (DGUs) | ||
|---|---|---|
Component | Transfer Function | Parameters |
Solar photovoltaic (SPV)47 | \(TF_{PV}(s) = \frac{K_{PV}}{1 + sT_{PV}}\) | \(K_{PV}=1\), \(T_{PV}=1.8\) |
Wind turbine generator (WTG)47 | \(TF_{WTG}(s) = \frac{K_{WTG}}{1 + sT_{WTG}}\) | \(K_{WTG}=1\), \(T_{WTG}=1.5\) |
Microturbine generator (MTG)47 | \(TF_{MTG}(s) = \frac{K_{MTG}}{1 + sT_{MTG}}\) | \(K_{MTG}=1\), \(T_{MTG}=1.5\) |
Biodiesel engine generator (BEG)23 | \(TF_{BEG}(s) \approx \frac{K_{BEG}}{1 + sT_{BEG}}\) | \(K_{BEG}=1\), \(T_{BEG}=0.55\) |
Biogas turbine generator (BTG)23 | \(TF_{BTG}(s) \approx \frac{K_{BTG}}{1 + sT_{BTG}}\) | \(K_{BTG}=1\), \(T_{BTG}=1.48\) |
Diesel engine generator (DEG)47 | \(TF_{DEG}(s) = \frac{K_{DEG}}{1 + sT_{DEG}}\) | \(K_{DEG}=0.003\), \(T_{DEG}=2\) |
Battery energy storage system (BESS)47 | \(TF_{BESS}(s) = \frac{K_{BESS}}{1 + sT_{BESS}}\) | \(K_{BESS} = -0.003\), \(T_{BESS} = 0.1\) |
Flywheel energy storage system (FESS)47 | \(TF_{FESS}(s) = \frac{K_{FESS}}{1 + sT_{FESS}}\) | \(K_{FESS} = -0.01\), \(T_{FESS} = 0.1\) |
Ultracapacitor (UC)48 | \(TF_{UC}(s) = \frac{K_{UC}}{1 + sT_{UC}}\) | \(K_{UC} = -0.7\), \(T_{UC} = 0.9\) |
Electric vehicle (EV)47 | \(TF_{EV}(s) \approx \frac{K_{EV}}{1 + sT_{EV}}\) | \(K_{EV} = 1\), \(T_{EV} = 1\) |
Inertia and damping47 | \(TF_{Dz\mu G}(s) = \frac{1}{D + sM}\) | \(D = 0.03\), \(M = 0.4\) |