Model Mathematics

Component: r

$ddtime r = ract ⁢ hr ⁢ Ir - k6 ⁢ r + Ir2 ract = 1.0 - s n1 s n1 + theta_1 n1 hr = 1.0 - h_delta1 n3 h_delta1 n3 + j1 ⁢ theta_3 n3 Ir = 0.0 if time ≥ 0.0 ∧ time ≦ 90.0 10.0 if time ≥ 91.0 ∧ time ≦ 92.0 0.0 if time ≥ 93.0 ∧ time ≦ 113.0 10.0 if time ≥ 114.0 ∧ time ≦ 115.0 0.0 if time ≥ 116.0 ∧ time ≦ 136.0 10.0 if time ≥ 137.0 ∧ time ≦ 138.0 0.0 if time ≥ 139.0 ∧ time ≦ 159.0 10.0 if time ≥ 160.0 ∧ time ≦ 161.0 0.0 if time ≥ 162.0 ∧ time ≦ 252.0 10.0 if time ≥ 253.0 ∧ time ≦ 254.0 0.0 if time ≥ 255.0 ∧ time ≦ 275.0 10.0 if time ≥ 276.0 ∧ time ≦ 277.0 0.0 if time ≥ 278.0 ∧ time ≦ 298.0 10.0 if time ≥ 299.0 ∧ time ≦ 300.0 0.0 if time ≥ 301.0 ∧ time ≦ 321.0 10.0 if time ≥ 322.0 ∧ time ≦ 323.0 0.0 otherwise Ir2 = 0.0 if time ≥ 0.0 ∧ time ≦ 5.0 1000.0 if time ≥ 6.0 ∧ time ≦ 7.0 0.0 if time ≥ 8.0 ∧ time ≦ 12.0 1000.0 if time ≥ 13.0 ∧ time ≦ 14.0 0.0 if time ≥ 15.0 ∧ time ≦ 21.0 1000.0 if time ≥ 22.0 ∧ time ≦ 23.0 0.0 if time ≥ 24.0 ∧ time ≦ 204.0 1000.0 if time ≥ 205.0 ∧ time ≦ 206.0 0.0 if time ≥ 207.0 ∧ time ≦ 217.0 1000.0 if time ≥ 218.0 ∧ time ≦ 219.0 0.0 if time ≥ 220.0 ∧ time ≦ 227.0 1000.0 if time ≥ 228.0 ∧ time ≦ 229.0 0.0 if time ≥ 230.0 ∧ time ≦ 310.0 1000.0 if time ≥ 311.0 ∧ time ≦ 312.0 0.0 if time ≥ 313.0 ∧ time ≦ 321.0 1000.0 if time ≥ 322.0 ∧ time ≦ 323.0 0.0 otherwise$

Component: s

$ddtime s = Is ⁢ g - k7 ⁢ s + Is2$

Component: se

$ddtime se = Ise - k7 ⁢ se$

Component: f

$ddtime f =- k1 ⁢ r + c ⁢ f + k2 + k3 ⁢ phi_b_s ⁢ 1.0 - f phi_b_s = 1.0 1.0 +ⅇ-log10⁡ 1.0 ⁢ s + se - sb delta_b$

Component: h

$ddtime h = j1 ⁢ k4 + k5 ⁢ 1.0 - phi_r_s ⁢ r + c ⁢ f - k8 ⁢ h phi_r_s = 1.0 1.0 +ⅇ-log10⁡ 1.0 ⁢ s + se - sr delta_r$

Component: g

$ddtime g = g1 ⁢ hact ⁢ gmax - g gmax - g2 ⁢ Is ⁢ g hact = h_delta n2 h_delta n2 + j1 ⁢ theta_2 n2$

Component: hh

$ddtime hh = j1 ⁢ Ih - k8 ⁢ hh$

Component: model_parameters

$h_delta = h + hh ⁢ delta h_delta1 = h + hh ⁢ delta1 Is = 10.0 if time > 0.0 ∧ time ≦ 90.0 0.0 if time > 90.0 ∧ time ≦ 180.0 10.0 if time > 180.0 ∧ time ≦ 270.0 0.0 if time > 270.0 ∧ time ≦ 360.0 0.0 otherwise$
Source
Derived from workspace Macgregor, Leng, 2005 at changeset 6c915634a4f2.
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