Impact Of The Pulse Width Modulation On The Temperature Distribution In The Armature Of A Solenoid Valve

Abstract

In order to estimate the inductive power set in the armature of the high-speed solenoid valve (HSV) during the open loop control (OLC) using pulse width modulation (PWM) an analytical explicit formula has been derived. The simplifications taken both in the geometry and in the physical behavior of the HSV were described. The inductive power was calculated for different boundary conditions and shown as a function of the frequency of the coil current. The power set in the armature was used as an input to the thermal calculation. The thermal calculation had an objective to estimate the time dependent temperature distribution in the armature of the HSV. All the derivation steps were presented and the influence of different boundary conditions was shown and discussed. The increase of the temperature during the heating with inductive power has been evaluated both in the core and on the side surface of the HSV.

Transformation of the Navier-Stokes Equation to the Cauchy Momentum Equation Using a Novel Mathematical Notation

“…In order to minimise the length of mathematic equations presented in the article the following shorten mathematical notation according to [5] has been used:  Scalar variables are indicated using the cursive writing  Vector variables are indicated using the straight writing  Derivatives are indicated using the down index of the state variable. The state variables are the following , , , x y z t  In the case of partial derivatives the cursive writing of a state variable is used  In the case of the total derivative in time the straight writing "t" is used  Components of a vector are indicates using the upper index A few examples of the shorten notation was showed in the Table 1.…”

“…The omission of the two signs had reduced the volume of these equations. Another example has been recently presented in [5] for the solving of the Helmholz's equations and solving of the heat equation. In [10] this notation was used for the derivation of Laplace and nabla operator in a given curvilinear co-ordinate system.…”

Performance analysis of a high-speed on/off valve based on an intelligent pulse-width modulation control

“…Ling et al 16 discussed the parameters of pulse-width modulation-holding solenoid drive mode, which decreased the holding current. Goraj 17 studied the influence of the pulse-width modulation (PWM) method on the temperature distribution in the armature of HSVs. Cheng et al 18,19 studied the effects of four different driven strategies on the power losses of high-speed solenoid injector.…”

Viscous and Magnetic Force Acting in a High Speed Solenoid Valve

“…There are lots of reports regarding finite-element approaches for example [2,19] and simulation models [13] of SVs as well as investigation of temperature distribution and thermal deformations inside the [1]. Also effects like the estimation of the inductive power caused by the pulse width modulation of the coil current and its influence on the time dependent temperature distribution in the armature of a SV were recently reported by in [7]. In [19] the author presented a research of key parameters influencing the driving electromagnetic force of a SV.…”