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AN437 Datasheet(PDF) 8 Page - STMicroelectronics |
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AN437 Datasheet(HTML) 8 Page - STMicroelectronics |
8 / 18 page How to design snubber circuit for turn-off improvement AN437 8/18 Final voltage value: Equation 5 Snubber circuit divider ratio: Equation 6 By solving the second order linear differential equation according to the damping factor and initial conditions (refer to Appendix A: RLC series circuit step response explanation), two diagrams can be defined. These diagrams give the slope of the voltage rise (dV/dtOFF) and the peak voltage (VP) according to the damping factor (ξ) and the load resistance (M) (refer to Figure 8). The voltage rise slope (dV/dtOFF) is defined as the maximum instantaneous voltage rise slope. Figure 8. Trade-off between normalized peak voltage (Z = VP/E), normalized voltage rise slope (K = dV/dtOFF/(E x ω0)) according to damping factor (ξ) and the divider ratio (M) As shown on these two diagrams, the load resistance (R) helps to reduce dV/dtOFF and VP. The load impact is significant if the damping factor is higher than 0.2. ) sin( V 2 E RMS ϕ · · = with 2 2 ) L ( R L ) sin( ω ω ϕ · + · = VRMS : mains rms voltage R R R M S S + = Z = V /E P K = dV/dt /(E x ) OFF ω 0 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 M = 1 M = 0.75 M = 0.5 M = 0.25 M = 0 M decreases Damping factor: ξ 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 M=1 M = 0.75 M = 0.5 M = 0.25 M=0 Damping factor: ξ M decreases |
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