Shunt Active Filter Matlab

Acta Universitatis Sapientiae

Electrical and Mechanical Engineering, 1 (2009) 53-63

Adrian Gligor

Manuscript received March 15, 2009; revised June 28, 2009. Abstract: Nowadays, the active filters represent a viable alternative for controlling harmonic levels in industrial consumers’ electrical installations. It must be noted the availability of many different types of filter configurations that can be used but there is no standard method for rating the active filters. This paper focuses on describing the shunt active filter structure and design. The theoretical concepts underlying the design of shunt active filters are presented. To validate and highlight the performance of shunt active filters a Matlab-Simulink model was developed. Simulation results are also presented.

Keywords: Shunt active filters, harmonic analysis, nonlinear control, instantaneous power theory.

1. Introduction

After a brief analysis performed on evolution of electric power consumption during the last two decades, it can be observed a change mainly on nature of electric power consumption and profile of consumers. The main causes are represented by introduction of new equipment and facilities to increase comfort in civil construction, new appliances and equipment in order to raise efficiency and diversification of production for industrial consumers, or coexistence in the same building of both households and some industrial consumers. We must also note the impact of the new sources of energy that can easily transform the consumer into power supplier. However, all these changes have led to the emergence of undesirable phenomena in all power system, accounting for the

A. Gligor

new challenges to be addressed by engineers and scientists involved in the power system design and management. Among the measures required there must be mentioned the need to adapt the existing electrical network to the new requirements and the introduction of new advanced methods of control, management and monitoring, in order to ensure the efficiency of electricity use.

The aims of this paper are to present a solution to improve the operation of consumers’ electrical installations, to reduce the electric power consumption and default costs allocated for the purchase of electricity and removing unwanted effects caused by the presence of harmonics. In order to achieve this, the main goal is to increase the power quality available for consumers. In the case of power consumers affected by the presence of harmonic pollution, power quality improvement can be achieved by implementing systems based on active filtering of the unwanted components. This type of automated system based on shunt active filter is presented in the following sections.

2. Operation principle of system based on shunt active filter Fig. 1 shows the schematic implementation of active power filter with static power converter.

Filter

Figure 1: The configuration of a system with shunt active filter. In order to compensate harmonic pollution caused by a nonlinear receiver, the parallel active filter consists of a DC-link static power converter and an energy storage element.

55

The control circuit performs synthesis of the reference currents of the filter in a manner to compensate the undesired mains current components. Since currents synthesized by an active filter depend on the average voltage of the storage element, this one should be kept constant. This voltage control has to be provided by the filter control algorithm.

3. Structure of the active filter configured for control of harmonics

Levels

The controller has both the task of controlling the DC-link voltage and the task of controlling the three-phase current system of the active filter. This requires a complex control structure with two control loops, one for the iF current, which has to be synthesized and another one for the DC-link voltage.

The structure with two control loops is shown in Fig. 2. In this scheme the two controllers can be highlighted: RI – current controller – from the current control loop, and RT voltage controller from the DC-link voltage control loop.

Udc

Figure 2: Block diagram of the system for control of harmonic current level based on active shunt filter. The voltage controller generates the signal Pdc based on the reference signal Udc* and on the feedback signal Udc provided by the voltage sensor TU. SR block, which generates the reference currents, based on signal Pdc and on instantaneous powers determined by PQ block, provides the reference for the current control loop. The PQ block has at its input the current and voltage

A. Gligor

signals provided by the TUI sensor from the circuit which supply the non-linear load. The RI controller from the current control loop synthesizes the control signal u, which is generated from the error signal i. This error signal (i) is obtained by comparing the signal provided by the SR block with the current measured at the input of static power converter (CSP). The control signal u is applied to the BC block, which generates the logic signal m needed to control the CSP block.

A. Synthesis of references from current compensation control loop based on the

Instantaneous Power Theory

Instantaneous power theory introduced by Akagi offers the methodology for determining the harmonic distortion , , , , .

(1)

where Ir1 represents the r.m.s value of the load fundamental currents ira, irb,

A

rai~ , rbi~ , rci~ are the polluting load current components.

In The Following There Will Be Noted:

.

,

,

,

,

Converting them into (-) coordinates, it results:

(3)

Assuming that the zero-sequence components of the three-phase systems are

C

.

(4)

In the case of the new two-phase coordinates, the instantaneous power is

(5)

If a new quantity is introduced, the so-called instantaneous imaginary power,



.



Figure 3: Determination of the instantaneous imaginary power. Equations (5) and (7) may also be rewritten in the form of a matrix as

P

which results in the expression of current ir in (,) system:

Where:

– p represents the component of the instantaneous active power absorbed by the nonlinear load associated to the fundamental of current ir, and voltage ur; – p~ represents the component of the instantaneous power absorbed by the nonlinear load associated to the harmonics of current ir and voltage ur; – q represents the component of the instantaneous imaginary power corresponding to the reactive power associated to the fundamentals of current ir

And Voltage Ur;

– q~ represents the component of the instantaneous imaginary power corresponding to the reactive power associated to the harmonics of the current ir and voltage ur.

If irA represents the fundamental active component of the absorbed current:

(11)

then the reference system of currents in coordinates (-) can be obtained in the

(12)

and the equivalent three-phase components will be, respectively:

Deployment In Out-Of-Position Situations

D. Bendjaballah1, A. Bouchoucha1, M. L. Sahli1,2* and J-C. Gelin2

Abstract

Side-impact collisions represent the second greatest cause of fatality in motor vehicle accidents. Side-impact airbags have been installed in recent model year vehicle due to its effectiveness in reducing passengers’ injuries and fatality rates. In meeting these requirements, simulations of folding and deploying airbags are very useful and are widely used. The paper presents a simulation method for the deploying airbags using three materials in different working conditions. Finite element analysis is primarily used to evaluate this concept. In these simulations, the gas flow is described by the conservation laws of mass, momentum, and energy. The numerical results indicate that the FE method in this paper is capable of capturing airbag deploying process accurately.

Keywords: Airbag simulations, Out-of-position, Crash, Modeling, Out-of-position

Background

The passive safety of cars has become a very high prior- ity issue for the automotive industry. Today, there are not only one or two airbags in a car; certain models have ten times more than that. With the increasing usage of airbags, the number of accidents where the airbag itself can cause an injury to the occupant also increases

(Augenstein Et Al. 2003; Gabauer And Gabler 2010;

Audrey et al. 2011). As is well known, safety belts are also now devices designed to provide protection to the users of vehicles during crash events, minimizing the loads necessary to adapt their movement to the move- ment of the car (Freesmeier and Butler 1999; Schmitt et al. 1997). In general, the seat belt is designed to restrain the occupant in the vehicle and prevent the

Occupant From Having Harsh Contacts With Interior

surfaces of the vehicles. The airbag acts to cushion any impact with vehicle structure and has positive internal pressure, which can exert distributed restraining forces over the head and face. As a safety component of auto- mobile, an airbag decreases occupants’ injury likelihood effectively in case of an accident (Ruff et al. 2007). These safety elements can reduce the death rates on the roads, and its protection effects have been widely approved (Crandall et al. 2001; Teru and Ishikawa 2003). With computational tools such as finite element methods designed for dynamic contact problems, crashworthiness simulations can now be used with reliable accuracy to evaluate occupant protection in various collision condi- tions with safety metric/parameters such as acceleration, head injury criteria, intrusion distance, intrusion vel- ocity, and neck forces (neck injury risk or whiplash).

Thus, new types of airbag products are being developed to handle different collision scenarios.

Become Standard Equipment On Most New Passenger

vehicles (Braver and Kyrychenko 2004; Teng et al. 2007; Yoganandan et al. 2007). The airbag cushion is com- posed of a woven fabric which is rapidly inflated during a car crash. The airbag dissipates the passenger’s kinetic energy thereby reducing injury through biaxial stretching of the fabric bag and escaping gas through vents. There- fore, the performance of the airbag is greatly influenced by the mechanical properties of the fabric. Generally, air bags are designed to deploy in a crash that is equivalent to a vehicle crashing into a solid wall at 8 to 14 mph.

Air bags most often deploy when a vehicle collides with another vehicle or with a solid object like a tree. There are various types of airbags: frontal, side-impact, and curtain airbags. In general, the passenger side airbags are usually larger than the driver airbags (see Fig. 1).

Besançon, France

© The Author(s). 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Bendjaballah et al. International Journal of Mechanical

Doi 10.1186/S40712-016-0070-2

Extensive studies have shown that the airbag deploy- ment in load cases consists of two occupant loading phases: a punch-out effect where the airbag bursts out of its container with the airbag and airbag module cover accelerating towards the occupant and a second loading phase during which the airbag is taking on its deployed shape and volume (membrane-loading effect). Bankdak et al. (2002) developed an experimental airbag test system to study airbag-occupant interactions during close proximity deployment. The results provided insight for simulating the effect of inflation energy and mass flow on target response. Bedard et al. (2002) found that while left-side (driver-side) impacts accounted for only 13.5% of all crashes, the fatality rate among these

Crashes Was 68.3% In Comparison To Front Impact

(48.3%), right-side impact (31.3%), and rear impact (38.4%). These studies underscore the importance of oc- cupant safety during side-impact collisions. In the last years, the current market requested to reduce the time and cost airbag development. In order to achieve this result, virtual simulations play an important role since they allow to minimize the number of experimental tests (Pei et al. 2013; Cao et al. 2014). Several simulation models of airbag were established (Wang et al. 2007). It is feasible to optimize the parameters of airbag deploy- ment using simulation technology. Experimental and numerical studies have quantified injury risks to close- proximity occupants from deploying side airbags. These studies have focused on the prevention of the most ad- verse effects of airbag deployment (Duma et al. 2003).

Other studies have proposed airbag characteristics to minimize particular biomechanical responses (Haland and Pipkorn 1996). In a more recent study, Marklund and Nilsson (2003) compared deformation patterns with experimental data as well as the computational costs associated with three different airbag deployment simu- lation methods; they concluded that the SPH method is relatively inexpensive and produces incremental deform- ation patterns that compare most closely to the experi- mental results. The process of inflation of an airbag is one of the determining factors in saving lives. The duration from the initial impact of the crash to the full inflation of an airbag is about 40 ms, and during this time, the airbag goes from being in a folded state to a fully inflated state, with a high internal pressure. After achieving this state, the airbag begins to deflate, thus providing a nice cushion for the body impacting it.

Ideally, the person in the crash should come into contact with the airbag at this time. In the present study, a large volume passenger side airbag model is developed to handle different collision scenarios. The main aim is evaluate the performance of deploying of passenger side airbag using finite element methods (FEM).

Materials

The tensile specimens were made in different airbags (P: Peugeot, R: Renault, and VW: Volkswagen) with a length of 200 mm long and a width of 40 mm. Table 1 shows the mechanical properties of the airbag.

Tensile Tests

To determine the mechanical properties of the material of airbag used in the test pieces, tensile tests were performed on Lloyd EZ20 universal testing machine in Constantine. These tests were conducted using rect- angular samples. The axial force and axial displacement acquired during a test are converted into stress and the strain in order to be used for the fabric material model.

The continuous recording of the stress-strain data was performed during both the load and unload phases. A minimum of five samples were made in order to check the repeatability of the measurements. All the data was collected by using a PC-based data acquisition system and analyzed by commercial software. The picture frame test device that is made for this study is shown in Fig. 2.

Fig. 1 a Frontal and side airbags. b Oblique view of facet occupant model in sitting posture following airbag deployment (Lim et al. 2014)

0.150

Bendjaballah et al. International Journal of Mechanical and Materials Engineering (2017) 12:12

Page 2 Of 9

Figure 3 shows the stress-strain relationship of the airbag sample under axial tensile loads. The results are showing a linear increase in extension with the increas- ing stresses. This is an expected output and it confirms with the theoretical behavior of a sample subjected to tensile stress. The rupture strain values for different airbags (R/P/VW) were 0.322, 0.441, and 0.472, respect- ively. The measured elastic parameters (i.e., Young’s modulus E and initial yield strength) and Poisson’s ratio are summarized in Table 2. The tensile tests of the woven fabrics can show differences on mechanical prop- erties because woven fabrics can resist in-plane shear loads once the yarn lock-up angle has been reached. The differences of material property on material direction can affect the shape of fully deployed bag (see Fig. 3b).

Theoretical Background

Numerical simulations of airbags use very complex and techniques such as an orthotropic model to identify the mechanical behaviors during the airbag inflation and the fluid mechanics (gas flow) to describe the inflator gas flow (pressure gradient) and improve the representation of the pressures within the airbag. To model the airbag as an orthotropic model, three material constants have to be provided. Assuming a plane stress condition, the

Ð1Þ

where σ is the normal stress and τ is the shear stress, the subscript refers to the principal material directions, i.e., the fill and warp directions. Also, ε and γ are the strain components. The material elastic constants Qij are

Ð2Þ

where E1 and E2 are the Young’s modulus in the fill and wrap directions and G12 is the shear modulus of the fabric material. νij is the Poisson ratio of the material.

The gas exerts a pressure load on the airbag causing it to expand. This expansion puts the airbag under tensile stress lowering the expansion rate. In this study, heat conduction and heat transfer is not taken into account.

Fig. 2 A photograph of Lloyd EZ20 universal testing Fig. 3 Stress versus strain using Lloyd EZ20 machine for a three different airbags at 0° and 90° and b VW airbag test specimens at

Different Angles

Table 2 Physical and mechanical properties of the airbag

Page 3 Of 9

In the deployment of an airbag, an inflator supplies high velocity gas into an airbag causing it to expand rapidly. The gas inside the airbag is assumed to be ideal, to be of constant entropy, and to satisfy the equation of state:

Ð3Þ

Here p, ρ, and e are respectively the pressure, density, and specific internal energy, and γ is the ratio of the heat capacities of the gas. The gas flow is described by the conservation laws for mass, momentum, and energy that

Ð4Þ

here, V is a volume, A is the boundary of this volume,

N Is The Normal Vector Along The Surface A, And U

denotes the velocity vector in the volume. Applying Bernoulli’s equation in the case of an ideal gas with

Ð5Þ

Here, the subscript ex denotes quantities at the throat of the tube. Furthermore u, p, and ρ denote the quan- tities inside that part of the tube that is supplying mass.

Materials And Boundary Conditions

The airbag system mainly consists of three parts: the airbag itself, the inflator unit, and the crash sensor or diagnostic unit. Thus, to study the behavior of the airbag using FE simulations, we need to have an FE model of the airbag in the folded position. A FE model of the airbag was used to simulate the test condition as shown in Fig. 5. LS-DYNA® material model FABRIC (MAT_34) is used to simulate the airbag material. It is a variation of the layered orthotropic material model. Additionally, in the LS-DYNA® material model, fabric leakage can be accounted for. However, for this CAB material, the leak- age is almost negligible and therefore no leakage is specified. The mechanical properties can be determined from the physical test. Typical material properties for airbag fabrics are taken as given in Chawla et al. (2004a) (Table 3). These properties are used to simulate inflation process of airbag (see Table 1). The car dashboard is modeled as the rectangular thin plate using a MAT_RI-

Gid Material, And The Degrees Of Freedom Are Con-

strained in all the directions. The similar properties of thermoplastic polymer are assigned for contact purposes. The porosity of the fabric is assumed zero. The nitro- gen gas is taken for inflating the airbag. Properties of nitrogen gas and initial bag conditions are shown in Table 4. The example on which we perform the study is a typical passenger side airbag. The geometric de- tails have been measured from a commercially avail- able airbag. The initial state of the airbag is a closed rectangular whose sides are to be finished to 482 × 635 mm2 and is shown in Fig. 4.

Table 3 Material properties of airbag and rigid plate used in FE

–

Table 4 Initial values used for FE simulation of the swelling of

3.33 × 10−4

Fig. 4 The initial airbag geometry in the form of a rectangular Bendjaballah et al. International Journal of Mechanical and Materials Engineering (2017) 12:12

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