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AN437 Datasheet(PDF) 11 Page - STMicroelectronics |
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AN437 Datasheet(HTML) 11 Page - STMicroelectronics |
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11 / 18 page ![]() AN437 How to design snubber circuit for turn-off improvement 11/18 Using Equation 6, the snubber circuit divider ratio M is equal to: M = 0.77 with R = 190 Ω and RS = 620 Ω 2. Damping factor definition The snubber capacitor depends on the undamped natural resonance ( ω0) and the damping factor ( ξ). Consider the following modified forms of Equation 4 and Equation 3: Equation 4 modified Where K is the normalized voltage rise slope (refer to the lower graphic in Figure 8). Equation 3 modified From the two previous equations, the ratio between the normalized voltage rise slope (K) and the damping factor ( ξ) is given by Equation 10. Figure 10, derived from the lower graph in Figure 8 gives the variation of this ratio with ξ: Equation 10 For the drain pump controlled (L = 2.4 H and R = 190 Ω at 50 Hz) and by using Equation 5, the final voltage value E is: E = 306 V for VRMS = 230 V and with ϕ ≈ 76° To avoid spurious triggering with Z0103 TRIAC, the dV/dtOFF is fixed to 2 V/µs (lower than maximum allowed (dV/dt)c, see Figure 2). Thus according to Equation 10, the ratio between the normalized voltage rise slope and the damping factor is equal to 38. Figure 10 gives then the damping factor value ( ξ = 0.026). Figure 10. Ratio between normalized voltage rise slope (K = dV/dtOFF / (E x ω0)) and damping factor ( ξ) according to the damping factor (ξ) L 1 C 2 0 S · = ω with K E dt / dV OFF 0 · = ω 2 2 S S ) R R ( L 4 C ξ · + · = E dt / dV R R L 2 K OFF S · + · = ξ 0.1 1 10 100 0.01 0.1 1 10 K / ξ M = 1 M = 0.75 M = 0.5 M = 0.25 M = 0 ξ = 0.026 38 M decreases M = 1 M = 0.75 M = 0.5 M = 0.25 M = 0 M decreases Damping factor: ξ |
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