Model Mathematics

Component: environment

Component: G

ddtime G = Gin + 1 f5_I - 1 f2_G + f3_G f4_I Gin = 0.05 + 5.0 15.0 time if time < 15.0 time 0.0 0.05 + 5.0 45.0 - time 45.0 - 15.0 if time < 45.0 time 15.0 0.05 if time 240.0 time 45.0 0.05 + 5.0 255.0 time if time > 240.0 time < 255.0 0.05 + 5.0 285.0 - time 285.0 - 255.0 if time < 285.0 time 255.0 0.05 if time 480.0 time 285.0 0.05 + 5.0 495.0 time if time < 495.0 time > 480.0 0.05 + 5.0 525.0 - time 525.0 - 495.0 if time < 525.0 time 495.0 0.05 if time 720.0 time 525.0 0.05 + 5.0 735.0 time if time > 720.0 time < 735.0 0.05 + 5.0 765.0 - time 765.0 - 735.0 if time < 765.0 time 735.0 0.05 if time 960.0 time 765.0

Component: I

ddtime I = Iin - di I Iin = 0.25 if time 30.0 time 0.0 0.25 + 1.0 1.0 + time - 120.0 90.0 if time < 120.0 time 30.0 0.25 + 1.0 1.0 - 0.5 time - 120.0 120.0 if time < 240.0 time 120.0 0.25 + 0.5 1.0 - time - 240.0 240.0 if time 480.0 time 240.0 0.25 if time < 530.0 time > 480.0 0.25 + 1.0 1.0 + time - 620.0 90.0 if time < 620.0 time 530.0 0.25 + 1.0 1.0 - 0.5 time - 620.0 120.0 if time < 740.0 time 620.0 0.25 + 0.5 1.0 - time - 740.0 240.0 if time 980.0 time 740.0

Component: f2_G

f2_G = Ub 1.0 -- G C2 Vg 1.0

Component: f3_G

f3_G = G C3 Vg

Component: f4_I

f4_I = U0 + Um - U0 1.0 +- beta ln I C4 1.0 Vi + 1.0 0.2 ti

Component: f5_I

f5_I = Rg 1.0 + alpha I 1.0 1.0 Vp - C5

Component: model_parameters