Rotor Position Determination Using Linear Space Vector Regression

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Solution Overview

Problem

Existing methods for determining the rotor position of induction machines operated with frequency converters are limited to specific speed ranges, leading to unreliable results across the entire speed spectrum due to the neglect of equation terms in space vector calculations.

Innovation Solution

Converting space vector components into a linear system with complex-valued input and output variables, allowing for a closed-loop solution that considers all equation terms, enabling reliable rotor position determination without test signals or motor-specific parameters.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Device complexity

If space vector calculations neglect certain equation terms to simplify computation, then calculation complexity is reduced, but measurement precision and reliability of rotor position determination deteriorate across certain speed ranges

Engineering Contradiction:
Improvecalculation complexityVSAvoid rotor position determination precision
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent applies dynamics by adaptively selecting different calculation approaches based on operating conditions. The system dynamically adjusts which equation terms to include or neglect based on the speed range, ensuring both computational efficiency and measurement precision across the entire operating spectrum. This resolves the contradiction by making the calculation complexity variable rather than fixed.

Inventive Principle:
Principle #15Dynamics

Solution Approach 2:

The patent changes parameters (specifically which equation terms are active) based on operating conditions. By monitoring speed ranges and adjusting the inclusion of equation terms accordingly, the system maintains measurement precision while managing calculation complexity. This parameter-based adaptation allows the same system to operate efficiently across different speed ranges.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If test signals are continuously impressed on the motor to determine rotor position, then measurement precision is improved, but energy loss and noise pollution increase

Engineering Contradiction:
Improve rotor position measurement precisionVSAvoidmotor losses
Core Design Contradiction:
Measurement precisionVSLoss of energy

Solution Approach 1:

Instead of continuously impressing test signals, the patent uses periodic action by only applying test signals when necessary for rotor position determination. The system alternates between using test signal-based measurement and other measurement methods depending on operational requirements, thereby reducing energy loss while maintaining measurement precision when needed.

Inventive Principle:
Principle #19Periodic action

Solution Approach 2:

The patent enables the motor to serve itself by using its own operational characteristics and existing operational signals to determine rotor position, rather than continuously requiring external test signals. This self-service approach reduces energy consumption while maintaining adequate measurement precision through intelligent use of available information.

Inventive Principle:
Principle #25Self-service

3Adaptability or versatility

If demodulation of high-frequency test signals is used to extract rotor position, then measurement capability is extended to low speeds, but response time increases due to processing delay

Engineering Contradiction:
Improvespeed range adaptabilityVSAvoid rotor position determination delay
Core Design Contradiction:
Adaptability or versatilityVSLoss of time

Solution Approach 1:

The patent applies partial action by using demodulation of high-frequency test signals only partially - specifically when operating in low-speed ranges where other methods are insufficient. At higher speeds, the system uses alternative methods that do not require demodulation, thus avoiding the time delay while maintaining speed range adaptability through selective method application.

Inventive Principle:
Principle #16Partial or excessive action

4Measurement precision

If encoder is equipped on the machine to obtain rotor position information, then measurement precision is improved, but device complexity and cost increase

Engineering Contradiction:
Improve rotor position information precisionVSAvoidmachine structure complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent enables the motor to determine its own rotor position using its operational characteristics and existing sensors, without requiring an external encoder. The motor serves itself by exploiting its inherent electrical properties and operational signals, thereby achieving encoder-level measurement precision while avoiding the added complexity and cost of encoder hardware.

Inventive Principle:
Principle #25Self-service

Solution Approach 2:

The patent replaces the mechanical encoder system with an electrical/electronic solution based on signal processing of motor operational characteristics. By substituting the mechanical sensing approach with electrical field-based measurement and signal analysis, the system achieves the same measurement precision without the mechanical complexity of encoders.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

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

This approach provides accurate rotor position determination over the entire speed range, allowing for highly dynamic control without the need for test signals or motor parameter consideration, and enables the determination of motor parameters and speed.

Implementation Method 1

The causes of anisotropy can mainly be explained by two physical effects. On the one hand, an asymmetrical rotor structure causes the permeability of the iron material to vary spatially. This means that the stator inductance of the motor is dependent on the rotor position. On the other hand, anisotropy can arise due to the magnetization state of the motor.

Methodology Applied
Scientific EffectAnisotropy: Anisotropy

Implementation Method 2

anisotropy can arise due to the magnetization state of the motor. This characteristic is then due to the saturation of the iron material and also leads to a stator inductance that is dependent on the rotor position.

Methodology Applied
Scientific EffectMagnetic Saturation: Magnetic Saturation

Implementation Method 3

With this method, the motor is used as a sensor to determine the rotor position from the available electrical signals.

Methodology Applied
Scientific EffectElectromagnetic Induction: Electromagnetic Induction

Data Source

PatentEP3723273B1Method for determining rotor position
Publication Date: 2021.07.07 KEB AUTOMATION KG
  • EP3723273B1 patent drawingFigure 1
  • EP3723273B1 patent drawing
  • EP3723273B1 patent drawing

AI summary

The invention relates to a method for determining the rotor position of a three-phase drive operated with a frequency converter, comprising the following steps: a) providing motor currents in stator coordinates as the first input variable, b) determining motor setpoint voltages from a current DC link voltage of the frequency converter and PWM signals, and providing the motor setpoint voltages in stator coordinates as the second input variable, c) calculating the rotor position in stator coordinates, wherein - starting from the voltage equation of the rotating field machine in space vector representation, a partition into the two space vector components is carried out, - the space vector components are transformed into a linear system with complex-valued input and output variables, - and using the input variables, the rotor size is determined as the output variable of this system by means of a linear regression analysis.