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Related Concept Videos

Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
Simplified Synchronous Machine Model01:30

Simplified Synchronous Machine Model

The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
Multimachine Stability01:25

Multimachine Stability

Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
Radial System Protection01:23

Radial System Protection

Radial systems employ time-delay overcurrent relays to reduce load interruptions. When a fault occurs, the nearest breaker opens first, while upstream breakers remain closed due to longer delay settings. This approach ensures minimal disruption to the rest of the system.
In a radial system with a fault downstream of the third breaker, ideally, only the third breaker will open, isolating the fault and interrupting the load connected beyond it. The second breaker has a longer delay setting,...
Stress Concentrations in Circular Shafts01:18

Stress Concentrations in Circular Shafts

Consider the elastic torsion formula, which applies to a circular shaft with a consistent cross-section. This formula assumes that the shaft's ends are loaded with rigid plates firmly attached. However, in many cases, torques are applied to the shaft through mechanisms like flange couplings or gears, which are connected by keys inserted into keyways. This application method modifies the stress distribution near the point of torque application, causing it to deviate from the distributions...
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass filters, manage...

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Related Experiment Video

Updated: Jun 13, 2026

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

L-SHADE-Optimized Active Disturbance Rejection for Sensorless PMSM Drives Under Complex Uncertainties.

Xiaoqing Chen1, Tao Yang1, Bowen Zhang2

  • 1School of Electrical Engineering, Chongqing Industry Polytechnic University, Chongqing 401120, China.

Sensors (Basel, Switzerland)
|June 12, 2026
PubMed
Summary

This study introduces an adaptive phase-locked loop (PLL) using linear active disturbance rejection control (LADRC) for sensorless permanent magnet synchronous motor (PMSM) drives. The new method significantly improves speed estimation accuracy and robustness against noise and quantization errors.

Keywords:
L-SHADEadaptive observerpermanent magnet synchronous motorrobust sensorless controlvariable-bandwidth LADRC-PLL

Related Experiment Videos

Last Updated: Jun 13, 2026

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

Area of Science:

  • Electrical Engineering
  • Control Systems
  • Robotics

Background:

  • Sensorless permanent magnet synchronous motor (PMSM) drives require precise rotor electrical angle and speed estimation.
  • Existing fixed-bandwidth phase-locked loops (PLLs) face challenges in balancing transient tracking and noise rejection.
  • Measurement noise, quantization, and sensor biases degrade estimation accuracy.

Purpose of the Study:

  • To propose an adaptive PLL for enhanced sensorless PMSM drive performance.
  • To improve robustness against common noise and quantization issues in motor control.
  • To reduce the need for high-precision sensing hardware in industrial applications.

Main Methods:

  • An adaptive PLL based on linear active disturbance rejection control (LADRC) is developed.
  • A linear extended state observer (LESO) estimates electrical angle mismatch as a lumped disturbance.
  • Observer bandwidth is dynamically adapted, and parameters are optimized using L-SHADE algorithm.

Main Results:

  • The proposed adaptive PLL demonstrates superior robustness to measurement noise and analog-to-digital quantization.
  • Speed estimation accuracy improved significantly, with root-mean-square error decreasing from 68.9r/min to 20.7r/min under additive noise.
  • Performance enhancements were validated through comparative simulations against traditional proportional-integral (PI) PLLs.

Conclusions:

  • The LADRC-based adaptive PLL offers a practical solution for reliable and low-cost sensorless PMSM control.
  • The method enhances motor control reliability in complex industrial environments.
  • Reduced reliance on high-precision sensors makes the system more cost-effective.