研究目的
To automate the testing of sodium high-pressure lamps and assess their suitability by developing a mathematical model for quality control in production.
研究成果
The mathematical model based on differential equations and singular value decomposition is adequate for quality control of sodium high-pressure lamps, with simulation results matching experimental data. The model can be used to automate testing and improve production processes.
研究不足
The model's accuracy depends on the assumption of stationarity and ergodicity of the voltage process. Experimental error did not exceed 10%, but further optimization may be needed for different lamp types or conditions.
1：Experimental Design and Method Selection:
The study involved creating a mathematical model using differential equations and the singular value decomposition algorithm to analyze lamp voltage data. The model was tested for adequacy using the Kolmogorov-Smirnov criterion.
2：Sample Selection and Data Sources:
Sodium high-pressure lamps, specifically types DNaZ-600 and DNaZ-400, were used. Voltage and current data were measured during bench testing.
3：List of Experimental Equipment and Materials:
A digital storage oscilloscope AKIP-4115/1A was used to capture voltage and current waveforms. Sodium lamps and associated electrical components were employed.
4：Experimental Procedures and Operational Workflow:
Lamps were tested in a production setting; voltage and current were measured and recorded. The data were decomposed into periodic and random components using singular value decomposition, and ARMA model coefficients were identified using ordinary least squares method.
5：Data Analysis Methods:
Statistical analysis included calculating standard deviation, normal distribution testing with Kolmogorov-Smirnov criterion, and model parameter estimation.
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