Optimization of Submersible Solenoid Valves for Subsea Blowout Preventers

Abstract

An analytical optimization approach of the submersible solenoid valve constrained in a specific small volume is presented. In order to maximum the electromagnetic force, thermal model and electromagnetic model are constructed, and five radial dimensions are optimized when the main limiting quantity is the maximum allowed temperature. A numerical optimization calculation is performed in order to verify the proposed analytical approach. The optimal solution of the numerical calculation is compared with the solution of the analytical approach, which shows a good agreement between the two methods. A thermal analysis of the optimal submersible solenoid valve based on AYSYS is also performed to verify the thermal model. A comparative study between the experimental and simulated static characteristics of the optimal submersible solenoid valve is also performed. The results show that the proposed analytical approach is correct.

Parameter Estimation in Linear Electromagnetic Devices

“…According to (4), the current converges to the value of U S /R irrespective of the inductance function; therefore, if the steady-state of the current i SS is reached (or known), then the resistance can be calculated as (5). Also, the inductance curve can be obtained from the sampled current waveform by using Faraday's law (6)- (7).…”

“…1) is a single or two-phase variable reluctance electromechanical converter with a limited linear motion [1][2][3][4][5][6][7][8][9][10]. Typical fields of its application include switching (contactor) [1][2][3][4], [10] and flow controlling purposes [5][6][7][8][9] in industrial and in embedded applications. For improving the performance and cost effectiveness of the systems which utilize solenoid actuators, the sensorless principle has been widely applied and intensely researched to estimate e.g.…”

“…The methods for determining the resistance of linear solenoids (motors) can be divided into two main categories: through thermal analyses [7], [19][20], [28][29][30][31] and from an electrical model [3][4], [33][34]. In the former case, the thermal state inside the actuator is obtained; thus, the resistance of the coil can be computed.…”

“…In the former case, the thermal state inside the actuator is obtained; thus, the resistance of the coil can be computed. Considering a linear actuator, the necessary thermal model is obtained by lumped parameter thermal network in [7], [19][20], [28][29] and by (multiphysics) FE (finite element) simulations in [30]. An extended survey on the evolution and on the modern approaches in the thermal analysis of electrical machines is presented in [31].…”

Resistance Estimation in Solenoid Actuators by Considering Different Resistances in the PWM Paths

“…ambient temperature which require extra sensors or additional models to be measured, and to the initial conditions. A detailed thermal model is also presented in [10] but it has the same disadvantages as [11]; and may become computationally exhaustive, which is not advantageous in embedded applications. An alternative method is presented in [12] for PWM driven solenoids that directly estimates the resistance from the electrical signals; thus, the aforementioned modeling problems are avoided although the electrical model considers a simple LR model.…”