Experimental determination of the nonlinear model for a proportional hydraulic valve

Tenesaca, Jose F.; Carpio, Marco; Saltarén, Roque; Portilla, Gerardo

doi:10.1109/ropec.2017.8261602

Cited by 1 publication

(3 citation statements)

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“…It was assumed that the characteristic curve can be approximated with sufficient accuracy by a polynomial equation. A similar approach was presented by the authors of paper [21], but they did not present the implementation of this solution in the control system.…”

Section: Hydrostatic Transmission Control Methodsmentioning

confidence: 99%

“…Once the equations of the mathematical model had been parametrized and the initial conditions adopted, it was possible to solve the model numerically, and subsequently to present in graphical form the pumping pressure of the pump, 𝑝 , the pressure on the motor, 𝑝 , and the angular velocity of the motor's shaft, 𝑛 , over time, for various waveforms of the control signal, 𝑠, supplied to the coils of the proportional electromagnet, as described by Equation (21) and presented in graphical form in Figure 5: The findings presented here pertain to an M2C1613 gear motor coupled with an OH-500 planetary gear. The planetary gear was filled with SAE 85W90 transmission oil, whose temperature was kept within the range t 1 = 25 − 28 • C during the measurements, and the hydraulic motor was supplied with ISO-VG 46 hydraulic oil at a temperature of…”

mentioning

confidence: 99%

“…Once the equations of the mathematical model had been parametrized and the initial conditions adopted, it was possible to solve the model numerically, and subsequently to present in graphical form the pumping pressure of the pump, p p , the pressure on the motor, p s , and the angular velocity of the motor's shaft, n s , over time, for various waveforms of the control signal, s, supplied to the coils of the proportional electromagnet, as described by Equation (21) and presented in graphical form in Figure 5: The coefficient 𝑠 was taken in such a form as to compensate for the idle stroke of the spool of the proportional spool valve resulting from the stationary overlap, 𝑠 max was assumed to be the maximum value of the signal as specified in the specification sheet of the spool valve, and 𝑡 is the signal rise time from 𝑠 to 𝑠 max .…”

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confidence: 99%

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A Case Study of Open- and Closed-Loop Control of Hydrostatic Transmission with Proportional Valve Start-Up Process

et al. 2022

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This paper concerns the start-up process of a hydrostatic transmission with a fixed displacement pump, with particular emphasis on dynamic surplus pressure. A numerically controlled transmission using a proportional directional valve was analysed by simulation and experimental verification. The transmission is controlled by the throttle method, and the variable resistance is the throttling gap of the proportional spool valve. A mathematical description of the gear start-up process was obtained using a lumped-parameters model based on ordinary differential equations. The proportional spool valve was described using a modified model, which significantly improved the performance of the model in the closed-loop control process. After assuming the initial conditions and parameterization of the equation coefficients, a simulation of the transition start-up was performed in the MATLAB–Simulink environment. Simulations and experimental studies were carried out for control signals of various shapes and for various feedback from the hydraulic system. The pressure at the pump discharge port and the inlet port of the hydraulic motor, as well as the rotational speed of the hydraulic motor, were analysed in detail as functions of time. In the experimental verification, complete measuring lines for pressure, speed of the hydraulic motor, flow rate, and temperature of the working liquid were used.

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Section: Hydrostatic Transmission Control Methodsmentioning

confidence: 99%

mentioning

confidence: 99%

“…Once the equations of the mathematical model had been parametrized and the initial conditions adopted, it was possible to solve the model numerically, and subsequently to present in graphical form the pumping pressure of the pump, p p , the pressure on the motor, p s , and the angular velocity of the motor's shaft, n s , over time, for various waveforms of the control signal, s, supplied to the coils of the proportional electromagnet, as described by Equation (21) and presented in graphical form in Figure 5: The coefficient 𝑠 was taken in such a form as to compensate for the idle stroke of the spool of the proportional spool valve resulting from the stationary overlap, 𝑠 max was assumed to be the maximum value of the signal as specified in the specification sheet of the spool valve, and 𝑡 is the signal rise time from 𝑠 to 𝑠 max .…”

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confidence: 99%

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