LC Circuit Resonant Frequency Detection via Phase Polarity Comparison

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Solution Overview

Problem

Determining the resonant frequency of an LC circuit is challenging due to variations in inductance and capacitance, making it difficult to accurately identify the frequency at which the inductive and capacitive reactances cancel each other.

Innovation Solution

A device comprising an H-bridge circuit with field effect transistors (FETs) and a transformer is used to alternately connect a battery to the primary winding, inducing an alternating current in the secondary winding, which flows through a reactive circuit. Comparators measure the phase difference between the voltage and current, allowing the processor to adjust the switching frequency until they are in phase, determining the resonant frequency.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If traditional methods are used to determine resonant frequency, then the process is simple, but measurement precision deteriorates due to variations in inductance and capacitance

Engineering Contradiction:
Improveresonant frequency determination accuracyVSAvoidmeasurement system complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The system continuously monitors the phase difference between voltage and current signals and uses this feedback to adjust the frequency signal in real-time. When the phase difference indicates that resonance is not achieved, the system automatically tunes the frequency until the phase difference becomes zero, thereby achieving precise resonant frequency determination through closed-loop control

Inventive Principle:
Principle #23Feedback

Solution Approach 2:

The patent replaces traditional mechanical or manual resonant frequency determination methods with an electronic system that uses phase detection and automatic frequency adjustment. The phase detection circuit and frequency synthesis器 create an electronic measurement system that is more precise and can automatically adapt to variations in circuit parameters

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

2Productivity

If frequency tuning is performed manually, then device complexity is low, but productivity deteriorates due to time-consuming adjustments

Engineering Contradiction:
Improveresonant frequency determination speedVSAvoidautomatic tuning system complexity
Core Design Contradiction:
ProductivityVSDevice complexity

Solution Approach 1:

The system performs self-adjustment by automatically detecting the phase difference between voltage and current and tuning the frequency signal without external intervention. The frequency synthesis器 self-corrects the frequency based on phase error feedback, enabling the system to determine resonant frequency autonomously and rapidly

Inventive Principle:
Principle #25Self-service

Solution Approach 2:

The phase difference signal serves as feedback that drives the automatic frequency adjustment process. The system continuously compares the actual phase relationship with the desired zero-phase condition and adjusts the frequency accordingly, enabling rapid and accurate resonant frequency determination

Inventive Principle:
Principle #23Feedback

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 method allows for precise determination of the resonant frequency of LC circuits in real-time, enabling accurate operation of reactive circuits such as those found in radio equipment and electronic ignition systems.

Implementation Method 1

A device comprising an H-bridge circuit with field effect transistors (FETs) and a transformer is used to alternately connect a battery to the primary winding, inducing an alternating current in the secondary winding

Methodology Applied
Scientific EffectElectromagnetic induction: Electromagnetic Induction

Data Source

PatentUS9733288B2Apparatus and method for determining a resonant frequency of an LC circuit in situ, by comparing voltage and current polarity changes
Publication Date: 2017.08.15 VITESCO TECHNOLOGIES USA LLC
  • US9733288B2 patent drawing
  • US9733288B2 patent drawing
  • US9733288B2 patent drawing

AI summary

The resonant frequency of a reactive circuit is determined in situ by determining phase angle differences between an A.C. driving voltage applied to a transformer primary winding and an induced alternating current in the transformer secondary winding. The phase angle is determined indirectly by detecting when the driving voltage applied to the primary changes its polarity and when an induced current in the secondary changes its polarity. The time difference between those polarity changes indicates whether the voltage leads or lags the current or is in phase. A driving voltage frequency is adjusted in real time until the phase angle differences disappear. A duty cycle of the driving signal applied to the primary is also adjusted to change the voltage induced in the secondary winding. The duty cycle is adjusted by changing either a phase of primary driving voltages or the duty cycle of primary driving voltages.