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AN863 Datasheet(PDF) 15 Page - STMicroelectronics |
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AN863 Datasheet(HTML) 15 Page - STMicroelectronics |
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15 / 22 page ![]() 15/22 IMPROVED SENSORLESS CONTROL WITH THE ST62 MCU FOR UNIVERSAL MOTOR 7 REFERENCES [1] Power control with triacs and ST6210 MCU AN392 - P. Rabier and L. Perier (SGS-THOMSON Microelectronics) [2] Digital control for brush DC motor T. Castagnet and J. Nicolai (SGS-THOMSON Microelectronics) PCIM Nuremberg, June 93 [3] Sensorless motor drive with the ST62 MCU + TRIAC AN416 - T. Castagnet (SGS-THOMSON Microelectronics) 8 ANNEX ANNEX 1 MOTOR CURRENT CALCULATION The motor voltage equation is: v(t) = (k. Ω + r) i(t) + L di/dt v(t) = 0 while the triac is off (before turn on at time td, and after the turn off caused by the motor current reaching 0) v(t) = V0 .sin ωt while the triac is on The solution to the differential equation is: i(t) = 0 while the triac is off While the triac is on: If we neglect the inductance L: i(t) = V0 sin ωt / (k.Ω + r) If we do not neglect the inductance: i(t) = - exp(-A(t-td)/L) [ B sin ωtd + C cos ωtd] + B sin ωt + C cos ωt with: A = k. Ω + r B = AV0 / (A ² + L² ω²) C = - L ω V0 / (A ² + L² ω²) td = triac firing delay measured from mains zero-crossing Figure 10 is a plot of i(t0) versus td at constant speed. Modifying the speed parameter generates a family of curves. In Figure 11, t0 equals 10 mS: the current i(t0) is meas- ured at the mains voltage zero crossing. Figure 11 is a plot of i(t) versus t at constant speed. Modifying the parameter td (triac firing delay) generates a family of curves |
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