# US 2023/0266366 A1 · Methods and systems for sinusoidal signal distortion monitoring and visualization

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- Number: US 2023/0266366 A1
- Document ID: US20230266366A1
- Status: Published application
- Kind: A1
- Application number: 18/113,469
- Filed: 2023-02-23
- Published: 2023-08-24
- Earliest claimed: 2022-02-23
- Assignees: University of Tennessee Research Foundation
- Applicants: University of Tennessee Research Foundation
- Inventors: Fangxing Li; Haoyuan Sun; Christopher Sticht; Srijib Mukherjee
- Web page: https://patentgrep.com/patent/US20230266366A1

## CPC

- G01R 13/02: for displaying measured electric variables in digital form
- G01R 19/0053: {Noise discrimination; Analog sampling; Measuring transients (measuring characteristics of individual pulses G01R29/02; digital sampling G01R19/2509; measuring noise figure G01R29/26)}
- G01R 23/167: with digital filters
- G01R: MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES (indicating correct tuning of resonant circuits H03J3/12)

## Abstract

Systems and methods herein provide for sinusoidal signal distortion monitoring and visualization via a Circular Trajectory Approach (CTA). In one embodiment, a system includes a differentiator operable to differentiate an input signal from a sinusoidal signal at substantially a same fundamental frequency of the input signal. The input signal comprising a sinusoidal waveform having distortions. The system also includes a processor operable to calculate a distance index from the input signal to a derivative of the input signal to reveal distortions in the input signal, and a display operable to display the distortions in the input signal.

## Claims

### Claim 1

A system, comprising:
a differentiator operable to differentiate an input signal from a sinusoidal signal at substantially a same fundamental frequency of the input signal, the input signal comprising a sinusoidal waveform having distortions;
a processor operable to calculate a distance index from the input signal to a derivative of the input signal to reveal distortions in the input signal; and
a display operable to display the distortions in the input signal.

### Claim 2 (depends on 1)

The system of claim 1, further comprising:
a filter operable to filter noise from the input signal.

### Claim 3 (depends on 1)

The system of claim 1, wherein:
the input signal is a power signal; and
the distortions comprise transients in the power signal.

### Claim 4 (depends on 1)

The system of claim 1, wherein:
the distance index corresponds to an amplitude of the input signal.

### Claim 5 (depends on 4)

The system of claim 4, wherein:
the processor is further operable to detect an abnormal transient in the input signal based on the distance index exceeding an upper threshold radius or a lower threshold radius.

### Claim 6 (depends on 1)

The system of claim 1, wherein:
the processor is further operable to sample the input signal at a sampling rate of at least 960 Hz.

### Claim 7

A method, comprising:
differentiating an input signal from a sinusoidal signal at substantially a same fundamental frequency of the input signal, the input signal comprising a sinusoidal waveform having distortions;
calculating a distance index from the input signal to a derivative of the input signal to reveal distortions in the input signal; and
displaying the distortions in the input signal.

### Claim 8 (depends on 7)

The method of claim 7, further comprising:
filtering noise from the input signal.

### Claim 9 (depends on 7)

The method of claim 7, wherein:
the input signal is a power signal; and
the distortions comprise transients in the power signal.

### Claim 10 (depends on 7)

The method of claim 7, wherein:
the distance index corresponds to an amplitude of the input signal.

### Claim 11 (depends on 10)

The method of claim 10, further comprising:
detecting an abnormal transient in the input signal based on the distance index exceeding an upper threshold radius or a lower threshold radius.

### Claim 12 (depends on 7)

The method of claim 7, further comprising:
sampling the input signal at a sampling rate of at least 960 Hz.

### Claim 13

A non-transitory computer readable medium comprising instructions that, when executed by one or more processors, directs the one or more processors to:
differentiate an input signal from a sinusoidal signal at substantially a same fundamental frequency of the input signal, the input signal comprising a sinusoidal waveform having distortions;
calculate a distance index from the input signal to a derivative of the input signal to reveal distortions in the input signal; and
display the distortions in the input signal.

### Claim 14 (depends on 13)

The computer readable medium of claim 13, further comprising instructions that direct the one or more processors to:
filter noise from the input signal.

### Claim 15 (depends on 13)

The computer readable medium of claim 13, wherein:
the input signal is a power signal; and
the distortions comprise transients in the power signal.

### Claim 16 (depends on 13)

The computer readable medium of claim 13, wherein:
the distance index corresponds to an amplitude of the input signal.

### Claim 17 (depends on 16)

The computer readable medium of claim 16, further comprising instructions that direct the one or more processors to:
detect an abnormal transient in the input signal based on the distance index exceeding an upper threshold radius or a lower threshold radius.

### Claim 18 (depends on 13)

The computer readable medium of claim 13, further comprising instructions that direct the one or more processors to:
sample the input signal at a sampling rate of at least 960 Hz.