title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸ ÑÑÐ²ÑÑÐ²Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ° Ð´Ð°ÑÑÐ¸ÐºÐ° Ð² ÑÐµÐ¶Ð¸Ð¼Ðµ ÐºÐ¾Ð¼Ð¿ÐµÐ½ÑÐ°ÑÐ¸Ð¸ Ð¿ÑÐ¸ ÑÐ¸Ð³Ð¼Ð°-Ð´ÐµÐ»ÑÑÐ° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Study of the dynamics of the sensor element in compensation mode for Sigma-Delta control
Creators: name: Ð ÑÐ±ÑÐ¾Ð², ÐÐ»ÐµÐºÑÐ°Ð½Ð´Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: ÑÐ¸Ð³Ð¼Ð°-Ð´ÐµÐ»ÑÑÐ° Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¾Ñ
Ð¿ÑÐµÐ´ÐµÐ»ÑÐ½ÑÐµ ÑÐ¸ÐºÐ»Ñ
Ð·Ð¾Ð½Ñ Ð½ÐµÑÑÐ²ÑÑÐ²Ð¸ÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸
Ð¾ÑÐµÐ²Ð¾Ð¹ Ð°ÐºÑÐµÐ»ÐµÑÐ¾Ð¼ÐµÑÑ
sigma-delta modulator
limit cycles
dead zones
axial accelerometer

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÑÑÑ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð· Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸ Ð¾ÑÐµÐ²Ð¾Ð³Ð¾ Ð°ÐºÑÐµÐ»ÐµÑÐ¾Ð¼ÐµÑÑÐ°, ÑÐ°Ð±Ð¾ÑÐ°ÑÑÐµÐ³Ð¾ Ð² ÐºÐ¾Ð¼Ð¿ÐµÐ½ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¼ ÑÐµÐ¶Ð¸Ð¼Ðµ Ð¿ÑÐ¸ ÑÐ¸Ð³Ð¼Ð°-Ð´ÐµÐ»ÑÑÐ° Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¸Ð¸. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¸Ðµ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÑ Ð²Ð¸Ð´Ð¾Ð² ÑÑÐ²ÑÑÐ²Ð¸ÑÐµÐ»ÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² (Ð°ÐºÑÐµÐ»ÐµÑÐ¾Ð¼ÐµÑÑÐ¾Ð²) 2. ÐÐ¿Ð¸ÑÐ°Ð½Ð¸Ðµ Ð¿ÑÐ¸Ð½ÑÐ¸Ð¿Ð° ÑÐ°Ð±Ð¾ÑÑ ÑÐ¸Ð³Ð¼Ð°-Ð´ÐµÐ»ÑÑÐ° Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¸Ð¸ 3. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð´Ð°ÑÑÐ¸ÐºÐ° Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð³Ð¾ Ð·Ð°ÐºÐ¾Ð½Ð° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ Ð¾Ð¿Ð¸ÑÐ°Ð½Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ ÑÐ¸Ð¿Ñ ÑÑÐ²ÑÑÐ²Ð¸ÑÐµÐ»ÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð². Ð¢Ð°ÐºÐ¶Ðµ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð° Ð¿ÑÐµÐ´Ð¼ÐµÑÐ½Ð°Ñ Ð¾Ð±Ð»Ð°ÑÑÑ, Ð¸ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð¸ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ ÑÐ¸Ð³Ð¼Ð°-Ð´ÐµÐ»ÑÑÐ° Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¸Ð¸. ÐÐ¾Ð½ÐµÑÐ½ÑÐ¼ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð¼ ÑÐ²Ð»ÑÐµÑÑÑ Ð¿ÑÑÐ¼Ð¾Ðµ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸ ÑÑÐ²ÑÑÐ²Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ° ÑÑÐµÐ´ÑÑÐ²Ð°Ð¼Ð¸ Matlab Simulink. ÐÐºÑÑÐ°Ð»ÑÐ½Ð¾ÑÑÑ Ð½Ð°ÑÑÐ¾ÑÑÐµÐ³Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð·Ð°ÐºÐ»ÑÑÐ°ÐµÑÑÑ Ð² ÑÐ¾Ð¼, ÑÑÐ¾ Ð² ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐµÐ´Ð»Ð°Ð³Ð°ÐµÑÑÑ ÑÑÐµÐ¼Ð° Ð¿ÑÑÐ¼Ð¾Ð³Ð¾ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸ ÑÐ»ÐµÐºÑÑÐ¾Ð¼ÐµÑÐ°Ð½Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¿ÑÐ¸ ÑÐ¸Ð³Ð¼Ð°-Ð´ÐµÐ»ÑÑÐ° Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¸Ð¸, ÑÑÐ¾ Ð²Ð°Ð¶Ð½Ð¾ Ñ ÑÐ¾ÑÐºÐ¸ Ð·ÑÐµÐ½Ð¸Ñ ÐºÐ¾ÑÑÐµÐºÑÐ½Ð¾ÑÑÐ¸ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ ÑÐ°Ð±Ð¾ÑÑ Ð¸Ð·-Ð·Ð° Ð¿Ð¾ÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½ÑÑ Ð¿ÑÐ¾Ð±Ð»ÐµÐ¼ ÑÑÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð³Ð¾ Ð·Ð°ÐºÐ¾Ð½Ð° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ, Ð½Ð°Ð¿ÑÐ¸Ð¼ÐµÑ, Ð²Ð¾Ð·Ð½Ð¸ÐºÐ½Ð¾Ð²ÐµÐ½Ð¸Ñ Ð¿ÑÐµÐ´ÐµÐ»ÑÐ½ÑÑ ÑÐ¸ÐºÐ»Ð¾Ð² Ð¸ Ð·Ð¾Ð½ Ð½ÐµÑÑÐ²ÑÑÐ²Ð¸ÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸. ÐÐ¾ÑÐ¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð° ÑÑÐµÐ¼Ð° Ð² ÑÑÐµÐ´Ðµ Simulink Ð¸ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½ Ð²ÑÑÐ¾Ð´ Ð´Ð°ÑÑÐ¸ÐºÐ° Ð½Ð° Ð¿ÑÐµÐ´Ð¼ÐµÑ ÐºÐ°ÑÐµÑÑÐ²Ð° ÑÐ°Ð±Ð¾ÑÑ ÑÐ¸ÑÑÐ¾Ð²Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ.
description: In this paper, we consider the construction of a mathematical model and analysis of the dynamics of an axial accelerometer operating in compensation mode with Sigma-Delta modulation. Tasks that were solved in the course of the study: 1. Consideration of the main types of sensitive elements (accelerometers) 2. Description of the principle of Sigma-Delta modulation 3. Development of a mathematical model of the sensor using a nonlinear control law In the course of the work, the main types of sensitive elements were described. The subject area and features of the application and mathematical description of Sigma-Delta modulation are also described. The end result is a direct numerical simulation of the dynamics of the sensor element using Matlab Simulink. The relevance of this research is that the paper proposes a scheme for direct numerical study of the dynamics of Electromechanical systems under Sigma-Delta modulation, which is important from the point of view of the correctness of the description of the work due to potential problems of a significantly nonlinear control law, for example, the occurrence of limit cycles and dead zones. The diagram is reproduced in the Simulink environment and the sensor output is analyzed for the quality of the digital control system.