This paper presents a detailed mathematical model developed for the purpose of predicting the hysteresis characteristics exhibited by miniature high-flow proportional valves. The model is constructed by integrating principles from fluid mechanics, magnetostatics, and system identification techniques, providing a comprehensive framework for understanding the complex behavior of these valves. To solve the mathematical equations derived from this model, numerical methods, specifically finite element analysis, are utilized.[1]In order to validate the accuracy of the model, experimental tests are conducted using a commercially available valve. The results of these experiments demonstrate the model's ability to predict the hysteresis characteristics of the valve across a range of operating conditions with a high degree of precision. This validation process confirms the effectiveness and reliability of the proposed mathematical model for predicting the behavior of miniature high-flow proportional valves.
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Kumar et al. (2024) studied this question.
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