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# Table 7 Nominal parameters of the system: system frequency f = 60 Hz, Tgi = 0.08 s, Tti = 0.3 s; Tri = 10 s; Kri = 0.5; Kpi = 120 Hz/pu MW; Tpi = 20 s; T12 = 0.086 pu MW/rad; Hi = s; Di = 8.33X10–3 pu MW/Hz; βi = 0.425 pu MW/Hz; Ri = 2.4 pu Hz/MW; loading = 50%; TSSSC = 0.03 s; KSSSC = 0.1802; Kφ = 1.5 rad/Hz; TPS = 0.1 s; TTCSC = 0.015 s; TIPFC = 0.01 s

Terminology | |
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i | Control area number i (1,2,3) |

m, n | Grasshopper index |

X | location of m |

S | correlation |

G | gravitational strength on the m |

A | wind abeyance |

C | Coefficient of the comfort zone |

K | SSSC gain |

T | SSSC time constant |

T | TCPS time constant |

K | TCPS gain |

∆φ | phase-shifting angle |

T | TCSC time constant |

T | IPFC time constant |

H | inertia constant of control area i (s) |

∆P | load increments in (p.u) |

∆P | generation increments in (p.u) |

D | ∆P |

T | synchronizing factors |

R | speed regulation factor of control area i (Hz/pu MW) |

T | the time constant of reheat governor control area i (s) |

K | reheat coefficient of control area i |

T | Reheat time constant of area i (s) |

T | the turbine time constant of control area i (s) |

B | frequency bias constant of area i |

T | 2H |

K | 1/D |

K | proportional gain of PI, PID, PIDF, and PIDF plus (1 + PI) controller in the control area i |

K | integral gain of integral, PI, PID, PIDF and PIDF plus (1 + PI) controller in control area i |

K | derivative gain of PID, PIDF, and PIDF plus (1 + PI) controller in the control area i |

K | the proportional gain of (1 + PI) controller in the control area i |

N | filter coefficient of PIDF & PDF controller in control area i |

D(s) | estimated derivative term = s/ 1 + Ns |

| control area frequency response characteristics of area I (AFRC) = D |

∆ | frequency incremental of control area i (Hz) |

∆P | Generation increments of control area i (p.u) |

∆P | tie-line power increment among control area i and area j (p.u) |

T | simulation time (s) |