Sensorless PMSM Control via Phase Angle Torque Estimation

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Solution Overview

Problem

Existing closed-loop control systems for permanent magnet synchronous motors (PMSMs) face challenges at low speeds due to imprecision in back-EMF-based methods and reliance on motor characteristics, which affect reliability and accuracy, especially in applications requiring high positional accuracy and stability.

Innovation Solution

A method that measures phase current and voltage to estimate external load torque as a factor of the cosine of the phase angle, allowing for accurate control and compensation, independent of motor characteristics, and accounts for dead-zone play in actuation systems by determining a reference position relative to mechanical limits.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Device complexity

If back-EMF-based sensorless control methods are used, then control simplicity is improved, but measurement precision deteriorates at very low speeds because back-EMF disappears when rotor speed approaches zero

Engineering Contradiction:
Improvecontrol system complexityVSAvoidposition/torque estimation accuracy
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent changes the measurement parameter from back-EMF (which depends on speed) to phase voltage and phase current measurements. By using the relationship between voltage, current, and impedance angle, the system can estimate load torque independently of rotor speed, enabling accurate low-speed operation without relying on back-EMF signals.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If position-dependent inductance variation methods are used, then low speed operation is improved, but adaptability deteriorates because these methods cannot be used in stepper motors with very small inductance variation

Engineering Contradiction:
Improvelow speed position estimation accuracyVSAvoidmotor type compatibility
Core Design Contradiction:
Measurement precisionVSAdaptability or versatility

Solution Approach 1:

The patent implements a feedback mechanism where phase voltage and phase current are continuously measured, and the impedance angle is calculated to estimate external load torque. This feedback loop allows the system to adapt to different motor types regardless of inductance variation characteristics, making the method universally applicable to both PMSMs and stepper motors.

Inventive Principle:
Principle #23Feedback

3Ease of operation

If predetermined motor characteristics (phase resistance and inductance) are used for control, then ease of operation is improved, but reliability deteriorates because these characteristics vary with temperature, speed and load

Engineering Contradiction:
Improvecontrol system configurationVSAvoidcontrol accuracy under varying conditions
Core Design Contradiction:
Ease of operationVSReliability

Solution Approach 1:

The patent enables the control system to self-adapt by continuously measuring phase voltage and current and calculating the impedance angle in real-time. This eliminates the need for predetermined motor characteristics, allowing the system to automatically compensate for variations in resistance and inductance due to temperature, speed, and load changes without requiring external calibration or adjustment.

Inventive Principle:
Principle #25Self-service

4Measurement precision

If external position or torque sensors are used, then measurement precision is improved, but device complexity and cost increase while reliability decreases

Engineering Contradiction:
Improveposition and torque measurement accuracyVSAvoidsensor system complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent uses phase voltage and phase current measurements as intermediary quantities to indirectly estimate external load torque. Instead of directly measuring torque or position with sensors, the system uses electrical measurements (voltage and current) as mediators to derive mechanical information, achieving sensorless control with high precision.

Inventive Principle:
Principle #24Intermediary (Mediator)

5Measurement precision

If complex calculation methods are used to address low speed operation, then measurement precision is improved, but device complexity increases and responsiveness may be affected

Engineering Contradiction:
Improvelow speed control accuracyVSAvoidcalculation complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the control problem into distinct measurable components: phase voltage measurement, phase current measurement, and impedance angle calculation. By breaking down the complex task of load torque estimation into these manageable segments, the system achieves accurate low-speed control without requiring overly complex calculations, maintaining both precision and responsiveness.

Inventive Principle:
Principle #1Segmentation

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

The solution provides robust, reliable, and accurate control of PMSMs at low speeds, reducing errors due to dead-zone play and material/ manufacturing tolerances, enabling precise positioning without external sensors, and is easily configurable across different motor series.

Implementation Method 1

calculating a phase angle φ between the measured phase current i(t) and phase voltage u(t), and estimating external load torque τ as a factor of the cosine of the phase angle φ

Methodology Applied
Scientific EffectPhase angle measurement:

Implementation Method 2

permanent magnet synchronous motor (PMSM), such as a stepper or BLDC (brushless DC) motor

Methodology Applied
Scientific EffectElectromagnetic conversion: Electromagnetic Induction

Data Source

PatentEP2003771B1Closed loop sensorless control of permanent magnet synchronous motors
Publication Date: 2012.10.17 SOCIETE INDUSTRIELLE DE SONCEBOZ SA
  • EP2003771B1 patent drawingFigure 1a~1c
  • EP2003771B1 patent drawingFigure 2a~3
  • EP2003771B1 patent drawingFigure 4~5a

AI summary

Method of controlling a PMSM, comprising measuring phase current i(t) of at least one phase of the PMSM, calculating a phase angle ϕ between the measured phase current i(t) and a phase voltage u(t) of said at least one phase, and estimating external load torque z as a function of the cosine of the phase angle ϕ.