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View ON/OFF control saw tooth simplified

α 100 :

Δt 0.005 :

Qhi 1 :

Qlo 0.25 :

d 0.1 :

SP 0.6 :

x f Qhi 1 Δt α * (x * - exp - (* :

Tlo SP d 2 / - :

Thi SP d 2 / + :

Saw tooth ON/OFF control algorithm ON_OFF i 11000 range t i el i α / : for t Q 1 el Qhi : T 1 el 0 : i 21000 range T i el Q i 1 - el (Δt * T i 1 - el 1 Δt - (* + : T i el Tlo ≤ Q i el Qhi : T i 1 - el T i el ≤ (Thi T i el ≥ Tlo ≥ (& Q i el Qhi : T i 1 - el T i el ≥ (Thi T i el ≥ Tlo ≥ (& Q i el Qlo : Q i el 0 : if if if 21 line for t T augment 61 line :

Experiment Sp = [0.4, 0.8] to see the ramp up/down shape reverse direction. f(x) is a simplified XFR for demo. The main idea is the "for/if" algorithm.

Thi SP Tlo 31 mat 0.65 0.6 0.55 31 mat

f t 010 0.1 range : i 1 t rows range xfr i el t i el f eval : for t xfr augment 31 line :

Collect plotting arguments collect ON_OFF SP Thi Tlo f 51 sys :

collect