Power Component Behavior Determination Using Fourier Locus Analysis
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Solution Overview
Problem
Traditional methods for determining the behavior of electrical or electronic power components, such as inductors, are not informative, computationally demanding, and often lead to unsustainable operational conditions, causing hardware damage and providing non-unique parameter values that do not reflect real working conditions in power generators.
Innovation Solution
A method involving a three-dimensional mathematical space of operational parameters is defined, where stimuli are applied to determine response parameters, and a mathematical model is developed to describe the locus of operational parameters meeting specific working limit conditions, using a measuring station with a data control and processing unit, stimulus generating device, and detecting device.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional experimental test techniques are used to determine inductor behavior, then parameter values can be obtained, but the results are not unique and vary according to operational parameters, and the computational complexity increases
Solution Approach 1:
The patent transforms the inductor behavior characterization from traditional parameter-based approaches (self-inductance coefficient L as a function of average current and temperature) to a wave-form-based approach using Fourier series coefficients (a1, b1, a3, b3) that uniquely describe the periodic current waveform. This parameter transformation eliminates the non-uniqueness problem while reducing computational complexity, as the new parameters are determined directly from waveform measurements without requiring complex grid searches or nested scanning cycles.
2Reliability
If comprehensive experimental tests are performed to cover multidimensional operational domains, then complete behavior information is obtained, but unsustainable operational conditions may occur causing hardware damage
Solution Approach 1:
The patent applies partial action by measuring only the essential characteristics needed for behavior determination - specifically the periodic current waveform through its Fourier coefficients - rather than performing exhaustive tests across all possible operational parameters. This selective measurement approach achieves complete behavior information without requiring tests under unsustainable conditions, thereby preventing hardware damage while maintaining reliability.
3Ease of operation
If traditional small-signal sinusoidal regime tests are used, then measurement can be performed, but the results do not reflect real working conditions in power generators
Solution Approach 1:
The patent transitions from static small-signal sinusoidal measurements to dynamic large-signal periodic waveform measurements that capture the actual operating behavior of inductors in power generators. By measuring the complete periodic current waveform and extracting Fourier coefficients, the method maintains measurement simplicity while accurately representing real working conditions, including saturation effects and non-linear behavior that small-signal tests miss.
4Adaptability or versatility
If nested scanning cycles are used to explore multidimensional operational domains, then comprehensive parameter coverage is achieved, but the approach is very demanding from a computational point of view
Solution Approach 1:
The patent extracts the essential behavior information directly from the periodic current waveform by calculating Fourier series coefficients, eliminating the need for nested scanning cycles across multiple operational parameters. This extraction approach achieves comprehensive parameter coverage by capturing the complete periodic behavior in a single measurement cycle, dramatically reducing computational demand while maintaining adaptability to various operating conditions.
Data Source
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Figure 4b~4d
AI summary
Method (1) for determining the behaviour of one electrical or electronic power component (2), with respect to a working limit condition, the method comprising the following operational steps: A. defining one three-dimensional mathematical space (3) of operational parameters of interest for the electrical or electronic power component (2), wherein the coordinates of an n-th point Pn of the three-dimensional mathematical space (3) correspond to specific values of the operational parameters of interest for the electrical or electronic power component (2); B. defining one exploration field (4) of the three-dimensional mathematical space, one working limit condition for the electrical or electronic power component (2) and one set R of response parameters of interest for the electrical or electronic power component (2); C. exploring, said three-dimensional mathematical space (3) by: - the generation of at least one stimulus, determined based on the coordinates of the points Pn of the three-dimensional mathematical space (3) and based on the exploration field (4), - the application of the at least one stimulus, to the at least one electrical or electronic power component (2), and - the detection of one corresponding response to the stimulus thereby applied, from the electrical or electronic power component (2), and based on the response thereby detected, determining, and storing one finite subset of points P*n of said mathematical space (3) among the points Pn of the mathematical space (3), for which that working limit condition of that electronic power component (2) is met; and D. determining one mathematical model that analytically describes the locus of the points P*n of that three-dimensional mathematical space (3) thereby stored, thereby obtaining the locus (5) of the operational parameters that determine a response from said electrical or electronic power component (2) that meets that working limit condition.