From: Analytical approximations for the amplitude and period of a relaxation oscillator
Times | Hysteresisa | Delayb |
---|---|---|
τ1 (A > R) | n = 1: (β A /α A β R ) + K A /β A +(K A /β A ) ln(K A /) | α-1 ln [(β1 - β0)/(β1 - αK)] |
n ≠ 1: (β A /α A β R ) + K A /β A + [β A (n- 1)]-1 (β a /k)1-n | ||
τ2 (A <R) | α A = α R : α-1 ln [(β A /α)/] | α-1 ln [(β1 - αK - β0)/(αK - β0)] |
α A ≠ α R : ln [(β A /|α A - α R |)/] | ||
τ tot | τ1 + τ2 | 3(τ1 + τ2) |
τtot, limiting | α-1 [β A /β R + ln(β A /α )] | 3α-1 ln [β1/αK] |
Concentrations | ||
A max | (β A /α A )- (β R /α A ) ln(β A /β R ) | (β1/α) - K |
R max | α A = α R : [(β A - β a )/α-K A ]/e | |
| ||
C max | β A /α A | |
A min | β a /(α A + kRmax) | β0/α |
Amin, limiting | β a /(kβ A /αe) | β0/α |