Frequency-Domain Turbomachinery Efficiency Analysis from Motor Power
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Solution Overview
Problem
Existing methods for measuring machinery efficiency are complex and costly, particularly when assessing the impact of speed on motor performance, as they often require extensive instrumentation for pressure and flow measurements.
Innovation Solution
The analysis of experimentally measured motor power versus speed data using a mathematical model that decomposes input power into output work and heat components, allowing for the characterization of efficiency and identification of frictional losses through frequency-domain analysis of motor current data.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional instrumentation methods are used to measure machinery efficiency, then measurement precision is improved, but device complexity and cost increase
Solution Approach 1:
The patent extracts the efficiency measurement capability from complex multi-parameter instrumentation and concentrates it into a single motor current sensor. By analyzing only the motor current signal and applying mathematical decomposition, the system achieves efficiency measurement without requiring pressure transducers, flow meters, or other complex machinery instrumentation.
Solution Approach 2:
The patent replaces mechanical/instrumental measurement systems with a mathematical analysis approach. Instead of using physical sensors to directly measure pressure, flow, and power, the system uses mathematical decomposition of motor current data to infer efficiency, substituting complex physical measurement systems with computational analysis.
2Productivity
If machinery operates at higher speeds to increase productivity, then productivity is improved, but energy loss increases
Solution Approach 1:
The patent implements feedback by continuously monitoring motor current and calculating efficiency in real-time. The system provides feedback about the relationship between operating speed and efficiency, enabling operators to identify the optimal speed range that maximizes productivity while minimizing frictional energy losses.
Solution Approach 2:
The patent analyzes how efficiency varies with operating speed parameters. By decomposing motor power into useful work and frictional loss components across different speed levels, the system identifies optimal operating parameters that balance productivity output against energy loss from friction.
Data Source
AI summary
Machine performance, including efficiency, is analyzed in direct frequency domain by measuring the input power to the machine over a range of machine speeds (frequencies, ω). A differentiable mathematical function or model is identified that characterizes the input power vs. speed functional relationship. Successive derivatives of experimental power vs. speed data enable the calculation of coefficients of the mathematical function at a plurality of points (frequencies) in the frequency domain. Performance parameters including machine efficiency, pressure, pressure drag, flow, viscous drag, frictional drag, viscosity and work may be calculated from the coefficients of the mathematical function. One or more desired, optimum or best operating point(s) for machine speed may be defined in terms of the coefficients of the mathematical function or the derived performance parameters.