Control Of A Hydraulic Hybrid Systemfor Wheel Loaders

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Master ThesisLIU-IEI-TEK-A 19/03400 SEControl of a Hydraulic Hybrid Systemfor Wheel LoadersChristopher ReichenwallnerDaniel WasborgDepartment of Management and EngineeringDivision of Fluid and Mechatronic SystemsLinköping University, SE-58183, Linköping, SwedenSupervisors: Liselott EricsonIEI, Linköping UniversityKarl UebelVolvo Construction EquipmentMartin RohdinVolvo Construction EquipmentExaminer:July 2019Petter KrusIEI, Linköping University

AbstractIn recent years many companies have investigated the use of hybrid technology due tothe potential of increasing the driveline's e ciency and thus reducing fuel consumption.Previous studies show that hydraulic hybrid technology can be favourable to use in construction machinery such as wheel loaders, which often operate in repetitive drive cyclesand have high transient power demands. Parallel as well as Series hybrid con gurationsare both found suitable for wheel loader applications as the hybrid con gurations candecrease the dependency on the torque converter. This project has investigated a novelhydraulic hybrid concept which utilizes the wheel loaders auxiliary pump as a supplementto enable both Series and Parallel hybrid operation. Impact of accumulator sizes has alsobeen investigated, for which smaller accumulator sizes resembles a hydrostatic transmission. The hybrid concept has been evaluated by developing a wheel loader simulationmodel and a control system based on a rule-based energy management strategy. Simulation results indicate improved energy e ciency of up to 18.80 % for the Combined hybrid.Moreover, the accumulator sizes prove to have less impact on the energy e ciency. A hybrid system with decreased accumulator sizes shows improved energy e ciency of up to16.40 %.i

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AcknowledgementsThis thesis serves as the nal part of a master's degree at the Division of Fluid andMechatronic Systems (Flumes) at Linköping university. The work has been carried outat Volvo Construction Equipment AB in Eskilstuna, Sweden. We are very grateful forthe opportunity to perform our thesis at Volvo CE, the time spent has been nothing lessthan excellent much thanks to our supervisors Karl Uebel and Martin Rohdin. Thankyou very much for all your support, knowledge and valuable discussions throughout thework. A special thanks to Vilhelm Fredriksson for sharing your knowledge and for thetime spent supporting us. The list of helpful people at Volvo CE can be made very long,we would like to thank you all for your contribution and help.A big thank you Liselott Ericson for your supervision and support during the thesis. Wewill also always be grateful for the opportunities you have given us during our study timeat Flumes. Thank you Petter Krus for your insightful and interesting input. We wouldalso like to thank Henrique Raduenz for your interest in our work and helpful commentsfrom many miles away.Linköping, July 2019Christopher ReichenwallnerDaniel Wasborgiii

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Contents1 Introduction1.11.21.31.4Project scope andDelimitations . .Method . . . . .Thesis outline . .aim. . . . . . .2 Theory2.12.22.32.42.5.Wheel loaders . . . . . . .Short Loading Cycle . . .Driveline components . . .2.3.1 Torque Converter .Hydraulic components . .2.4.1 Accumulators . . .2.4.2 Hydraulic machines2.4.3 Valves . . . . . . .Hybrid vehicles . . . . . .2.5.1 Parallel hybrids . .2.5.2 Series hybrids . . .2.5.3 Combined hybrids .3 Hybrid system concept3.13.2.Potential hydraulic hybrid work cycle . . . . . . . . .Dimensioning of the Supplementary Hydraulic Hybrid3.2.1 Machine 1 . . . . . . . . . . . . . . . . . . . .3.2.2 Machine 2 . . . . . . . . . . . . . . . . . . . .3.2.3 High pressure accumulator . . . . . . . . . . . . . . .System. . . . . . . . . . . . .122235568811111214151616181922242428294 Energy Management Strategies315 Modelling and simulation334.14.24.35.1Heuristic controllers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31Optimal and sub-optimal controllers . . . . . . . . . . . . . . . . . . . . . 32Controllers suitable for hydraulic hybrid wheel loaders . . . . . . . . . . . . .95.1.105.1.115.1.125.1.13loader model . . . . . . . . . . . . . . . . . . . . .Tire and Final Drive . . . . . . . . . . . . . . . .Transmission . . . . . . . . . . . . . . . . . . . .Supplementary Hydraulic Hybrid System . . . . .Machine 1 . . . . . . . . . . . . . . . . . . . . . .Machine 2 . . . . . . . . . . . . . . . . . . . . . .Valve System 1 . . . . . . . . . . . . . . . . . . .Valve System 2 . . . . . . . . . . . . . . . . . . .Accumulators . . . . . . . . . . . . . . . . . . . .High pressure accumulator with BWR equations .Low pressure accumulator with the ideal gas law .Torque Converter look-up tables . . . . . . . . . .Internal Combustion Engine and Work HydraulicsSensor signals . . . . . . . . . . . . . . . . . . . .v.3335353738404445464749495051

5.2Control system . . . . . . . . . . . . . . . . . .5.2.1 Energy Management Strategy subsystem5.2.2 Hydraulic manager subsystem . . . . . .5.2.3 Torque control subsystem . . . . . . . .5.2.4 Valve control subsystem . . . . . . . . .5.2.5 Pump/motor control subsystem . . . . .6 Results6.16.26.36.46.56.66.76.8Exchange in energy over one SLC . . .Direction Change . . . . . . . . . . . .Drive . . . . . . . . . . . . . . . . . . .Bucket ll . . . . . . . . . . . . . . . .Brake . . . . . . . . . . . . . . . . . .Direction Change to Drive in sequencePower ows and e ciencies . . . . . . .Energy e ciency . . . . . . . . . . . .6.8.1 With accumulators . . . . . . .6.8.2 Without accumulators . . . . .7 Discussion7.17.27.37.4Control system . . . . .Simulation model . . . .Hydraulic hybrid conceptOperability . . . . . . .525258586163676769707174757679798183848485868 Conclusion899 Future work91Bibliography93vi

NomenclatureAValve areacvReal gas speci c heat[kJ/kg · K]c0vIdeal gas speci c heat[kJ/kg · K]CqFlow coe cientDm1Machine 1 displacement[m3 /rev]Dm2Machine 2 displacement[m3 /rev] pPressure di erence[P a] VgDi erence in gas volume[m3 ] VoilDi erence in oil volume[m3 ]εm1Machine 1 displacement setting[ ]εm2Machine 2 displacement setting[ ]εrefReference displacement setting signal[ ]FbrkBreakaway friction force[N ]FCCoulomb friction force[N ]FconventionalConventional traction force[N ]FhybridHybrid traction force[N ]FSStribeck friction force[N ]FtractionTraction force[N ]FtranslationalTranslational force[N ]FtransM axMaximum translational force[N ]FVViscous friction force[N ]iCC-axle gear ratio[ ]iF DFinal Drive gear ratio[ ]iP T OPower Take-O gear ratio[ ]itraTransmission gear ratio[ ]iW HWork Hydraulics gear ratio[ ]ηE ciency[ ]ηhmHydro-mechanical e ciency[ ]ηvolVolumetric e ciency[ ]ηixArbitrary gear ratio e ciency[ ][m2 ][ ]vii

mnitrogenNitrogen mass[kg]µT CTorque Converter torque ampli cation factor (Torque Ratio)[ ]nPolytropic exponent[ ]nF DFinal Drive rotational speed[rev/s]nICEInternal Combustion Engine rotational speed[rev/s]nimpellerImpeller rotational speed[rev/s]nm1Machine 1 rotational speed[rev/s]nm2Machine 2 rotational speed[rev/s]nturbineTurbine rotational speed[rev/s]νT CTorque Converter slip ratio (Speed Ratio)[ ]PICEInternal Combustion Engine power[W ]PinPower in[W ]PoutPower out[W ]PW HWork Hydraulics power[W ]p0Initial charge pressure[P a]paccNode A pressure[P a]pBNode B pressure[P a]pCNode C pressure[P a]pDNode D pressure[P a]paccAccumulator pressure[P a]pgGas pressure[P a]pinitPressure at start of simulation[P a]prefReference pressure signalpreservoirReservoir pressureQEnergyqf uelFuel ow[m3 /s]qm1Machine 1 ow[m3 /s]qm2Machine 2 ow[m3 /s]RUniversal gas constantrtireTire radius[m]ρOil density[kg/m3 ]SEntropy[ ][P a][J][J/kg · K][J/K]viii

TF DFinal Drive torqueTgGas temperatureTICEInternal Combustion Engine torque[N m]TimpellerImpeller torque[N m]TinInput torque[N m]Tm1Machine 1 torque[N m]Tm2Machine 2 torque[N m]ToutOutput torque[N m]TsAmbient temperatureTW HWork Hydraulics torqueτBW RBWR temperature time constant[s]τdispDisplacement setting time constant[s]UInternal energy[J]VVolume[m3 ]V0Initial charge gas volume[m3 ]VgAccumulator gas volume[m3 ]VinitVolume at start of simulation[m3 ]vVelocity[m/s]vbrkBreakaway velocity[m/s]vCoulVelocity at maximum Coulomb friction[m/s]vStVelocity at maximum Stribeck friction[m/s]vvehVehicle velocity[m/s]WWork[J/kg]ωoutOutput rotational speed[rev/s]ωinInput rotational speed[rev/s][N m][K][K][N m]ix

x

PDynamic ProgrammingEMSEnergy Management StrategyEPSDisplacement SettingETAE ciencyFDFinal DriveHPHigh PressureICEInternal Combustion EngineLPLow PressureNCNormally ClosedNONormally OpenPRVPressure Relief ValvePTOPower Take-O REFReferenceSHHSSupplementary Hydraulic Hybrid SystemSLCShort Loading CycleSOCState Of ChargeSRSlip RatioTCTorque ConverterTRTorque RatioTRATransmissionWHWork Hydraulicsxi

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June, 201911INTRODUCTIONIntroductionIncreased environmental awareness and higher fuel prices are some reasons leading torising demand for fuel e cient vehicles with low emissions [1, 2]. Due to the awarenessa lot of development in the automotive industry has turned towards alternative fuelsand hybrid technology. Electric powertrains are commonly used in cars because of itshigh e ciency [3] and the renewable potential of electricity. In construction machineryhowever, other type of hybridization technologies, such as hydraulic hybrid technology,may be favourable due to short, repetitive drive cycles with high transient power outputs[2, 4]. A previous study has shown fuel e ciency advantages with a Parallel hydraulichybrid concept in a wheel loader [5]. This project has investigated a novel hydraulichybrid concept which enables both Series/Parallel operation.Vehicles using Internal Combustion Engine's (ICE) most often require a transmissionto transfer rotational speed and torque to the wheels and to decouple the engine fromthe wheels. The two most common types of transmissions are the manual and automatictransmissions. Using a manual transmission in a wheel loader is not realizable due to hightraction forces and repetitive drive cycles with many start and stops which would lead toexcessive clutch wear. Hence, wheel loaders commonly uses automatic transmissions. Thesubstitute for the mechanical clutch is known as the Torque Converter (TC). However, theTC is a big contributor to power losses due to its low e ciency during high slip operations,especially when used in wheel loaders [4]. High slip, i.e. when the TC's output shaftis rotating much slower than its input shaft, may occur when large tractive forces areneeded, for instance during bucket ll operation. Expectations are that a Series/Parallelhydraulic hybrid concept can reduce power losses in the TC by introducing an alternativepower path. Possible advantages are, among others, lower fuel consumption and increasedproductivity as well as potential for reduced component wear.1

June, 20191INTRODUCTION1.1 Project scope and aimThe aim of this project is to investigate the possibility for energy savings using hydraulichybrid technology while maintaining an acceptable operability in a wheel loader application. The scope includes development of an Energy Management Strategy (EMS) forthe hydraulic hybrid concept for a wheel loader drive cycle. Based on the EMS a controlsystem is developed, which control relevant hardware components, such as valves and hydraulic machines. The control system is evaluated in a simulation environment for whicha wheel loader simulation model is developed. Included in the scope is also how smalleraccumulator sizes a ects the energy savings. The aim can be translated into the followingresearch questions: Q1: To what extent can energy losses in the driveline be decreased by using aseries/parallel hydraulic hybrid system in a wheel loader? Q2: How can the operability of the wheel loader be preserved during a short loadingcycle? Q3: When should the energy storage be charged/discharged and with what con guration? Q4: What is a suitable control system architecture for the hydraulic hybrid system?1.2 DelimitationsThe project is limited to evaluate the hybrid system for a short loading cycle using thebucket tool for transportation of gravel material. Strategies for gear shifts, auxiliarypower consumers and work hydraulics are not considered. Recuperation of energy willonly consider kinetic energy. The reference conventional driveline is limited to addressone engine, an automatic transmission and a TC.1.3 MethodThe following methods are used throughout the project. Literature study Modeling Simulation Control engineeringA literature study is conducted to gain su cient theoretical background about hybridvehicle technology, EMS and driveline components. A wheel loader simulation model and2

June, 20191INTRODUCTIONcontrol system is developed for the proposed concept. In parallel, the opportunities ofthe concept is analysed and an EMS is de ned. The EMS and control system is thenfurther re ned in an iterative development process in a simulation environment, namelyMatlab/Simulink. The wheel loader simulation model provides the opportunity for rapidevaluation of the EMS and control system's functionality. Lastly, an evaluation of resultsacquired from the simulations is made and the performance for the hybrid concept isbenchmarked against the conventional driveline in terms of energy e ciency.1.4 Thesis outlineRelevant theory is presented for the reader to gain su cient background knowledge aboutthe material presented in the thesis. The theory includes general information about wheelloaders, drive cycle, mechanical and hydraulic components as well as hybrid vehicles. Inthe third chapter the hybrid system concept is introduced. Followed by the fourth chapterwhich concerns energy management strategies.Chapter ve focuses on modelling, control system architecture and simulation. The simulation results are presented in chapter six followed by discussion and conclusions inchapters seven and eight. Lastly, future work possibilities are suggested in chapter nine.3

June, 201914INTRODUCTION

June, 201922THEORYTheoryThe section brie y covers relevant theory that is addressed throughout the project.2.1 Wheel loadersWheel loaders are o -road vehicles with pivoted rear axle, rubber tires and a hydraulicallycontrolled load assembly for the work functions [6]. Wheel loaders are often articulatedbetween the front and rear axle which allow narrow turns. Large wheel loaders oftenhave four wheel drive [6] and use the counter weight principle to be able to carry mass.Generally, wheel loaders are highly versatile machines, capable of handling many di erenttypes of tasks and they are a common sight on workplaces such as mine quarries, papermills and construction sites. The main enabler for wheel loaders versatility is a high levelof modularity of the machines load assembly which enable mounting of a wide variety oftools. One of the most common tools is the bucket. Other commonly used tools are forks,grapples, handling arm and pickup-sweeper, Figure 2.1 displays usage of some of thesetools.Figure 2.1: Examples of applications for wheel loaders and the various type of tools that can be used. Inthe top left picture timber is transported using grapples, in the top right picture a pick-up sweeper toolis used and in the bottom picture a bucket is used. Picture source: [7].This project focuses on wheel loaders using the bucket tool for the purpose of transportinggravel. For this application, the fuel consumption and potential productivity of the wheelloader is linked to a large number of factors, for example machine speci cation, pilecharacteristics and skill level of the operator just to mention some. Previous studies showthat fuel e ciency can di er up to 200 % and productivity up to 700 % between noviceand professional operators when operating a Short Loading Cycle [8]. The Short LoadingCycle will be presented in Section 2.2.The wheel loaders size is a key factor in how much load that the machine can carry.5

June, 20192THEORYEspecially the counterweights mass is important for the load capacity [9]. Depending onthe mass the wheel loader is speci ed for, driveline, chassis and work functions have to bedimensioned accordingly. Increased mass capacity requires larger engine, counterweight,hydraulic load assembly and stronger chassis.Regarding pile characteristics one study shows that the degree of rock fragmentation andmaterial uniformity has an e ect on machines productivity. The study concludes that largeparticle sizes and low uniformity of the material a ects the productivity negatively. Smallparticle sizes and uniform material is preferred from a productivity point of view. [10]2.2 Short Loading CycleOne of the most common drive cycles for wheel loaders is the Short Loading Cycle (SLC).The SLC is used when the wheel loader loads material (often gravel or stone) onto ahauler that in turn transports the material to another location for processing. The SLCis characterized by a low cycle time, frequent starts and stops and high transient powerdemands. Cycle time is generally not more than 25-40 seconds. During that time thewheel loader operator has lled the bucket, driven the machine to the hauler, unloadedthe load and driven the machine back to the pile.The driving pattern of the SLC is visualized in Figure 2.2. To explain the di erent phasesof one cycle the numbers in the gure will be used. Green colour illustrates drive, i.ewhen the operator is accelerating/travelling at constant speed. Brake is illustrated byred colour. The cycle starts at (1) when the operator enters the pile to gather material,this phase is referred to as bucket ll. (2) The operator shifts to reverse and reverses outfrom the pile. (3) The operator lines the machine up towards the hauler, brakes andshifts to forward. (4) While travelling towards the hauler, the operator lifts the bucket toprepare for unloading of the bucket's load. (5) The operator shifts to reverse and reversesthe machine. (6) The operator brakes and shifts to forward to line the machine up forbucket ll operation once again. The cycle is completed at (7) and the machine is readyfor yet another cycle. In Figure 2.3 a simpli ed velocity pro le of the cycle can be seen.6

June, 20192THEORYFigure 2.2: One of the most common drive cycles for wheel loaders, the short loading cycle. Green colourillustrates drive. Red illustrates braking and brown a gravel pile. One cycle consist of: (1) Bucket ll (2) Reverse from pile (3) Approaching hauler (4) Unloading bucket (5) Reverse from hauler (6) Approaching gravel pile (7) cycle complete.Figure 2.3: Simpli ed velocity pro le of the short loading cycle. Picture source [5].7

June, 20192THEORY2.3 Driveline componentsA schematic illustration of the Conventional wheel loader driveline with representation ofthe work hydraulics can be studied in Figure 2.4. The main components of the Conventional wheel loader driveline is: Internal Combustion Engine which converts diesel power to rotational mechanicalpower. Torque Converter (TC) which ampli es torque Transmission with multiple gear ratios Final Drive (FD) which splits and ampli es the provided torque to the wheels.Figure 2.4: Schematic illustration of the conventional wheel loader driveline.The TC is considered the most relevant component for this project and will therefore befurther explained.2.3.1Torque ConverterThe TC is a hydrodynamic coupling which has the function to transfer power from theICEs crankshaft to the transmission. It is an important component in the driveline formainly two reasons, torque ampli cation and mechanical decoupling of the ICE from thewheels [11]. Regarding decoupling the TC can be compared to the function of a clutch ina manual transmission. TCs working principle can be exempli ed by two identical electric8

June, 20192THEORYfans. One fan, which is powered blows air ( uid) towards another fan which is switchedo . When the uid reaches the fan which is switched o it will start to rotate and power istransferred. TCs use the same principle for transferring power, the powered fan representsthe ICE shaft and the switched o fan represents the transmission shaft [11, 12]. TCs arecommonly used together with an automatic transmission in cars, trucks, wheel loaders andmany more vehicles. In heavy applications such as wheel loaders and other constructionmachinery the TC is often used because of its low cost, well known behaviour and robustdesign [13].The TC consist of three main components; impeller, turbine and stator, see Figure 2.5.The impeller and turbine is situated inside a casing which is lled with oil. The impeller isconnected directly to the ICE output shaft and the turbine is connected to the transmission input shaft. When the ICE makes the impeller rotate oil ows into the impeller andis pressurized by centrifugal forces. The pressurized oil is directed towards the turbine.The impact between the pressurized oil and the turbine blades applies large forces on theturbine blades, which results in turbine motion. The uid is then directed back into thestator. The stator's function is to slow down the speed of the uid and channel it backto the impeller, completing the loop. As the TC provides mechanical decoupling betweenengine and wheels it enables gears to be fully engaged even though the vehicle is movingvery slowly or standing still. [11, 12]Figure 2.5: Side crop of a TC, the main components are the impeller which is connected to the ICE shaft,the turbine which is connected to the transmission shaft and the stator which is mounted between theimpeller and turbine.TCs have three stages of operation; stall, acceleration and coupling. Stall occurs when theimpeller spins but the turbine is held stationary by the brakes or high traction forces. Atstall maximum torque ampli cation may be achieved, stall speed is the maximum speeddi erence between impeller and turbine speed. Acceleration is when the turbine startsto speed up, torque ampli cation decreases but turbine speed is increased. Coupling iswhen the lock-up function is used. The torque ampli cation becomes 1:1, and the wheelsare mechanically coupled to the ICE. [12]E ciency of hydraulic and mechanical components may be calculated using Equation 2.1which is equivalent to Equation 2.2.9

June, 20192PoutPin(2.1)Tout · ωoutTin · ωin(2.2)η η THEORYFor TCs the e ciency can be described in an alternative, perhaps more intuitive way.Equation 2.2 happens to include two more quantities, namely the slip ratio and the torqueratio, described in Equation 2.3 and 2.4 respectively.ν ωoutωin(2.3)µ ToutTin(2.4)Substituting the slip and torque ratio equations into Equation 2.2 yields Equation 2.5.η µ·ν(2.5)The main disadvantage with TCs are poor e ciency at low values of ν , indicated inFigure 2.6. At low e ciency operations, a large amount of power is dissipated as heat. Infact, the poor e ciency is the reason for the lock-up function invented in the 1980's [11].Studies show that the lock-up function can signi cantly decreases the fuel consumptionfor a wheel loader application [14].Figure 2.6: Example of TC e ciency characteristic.10

June, 20192THEORYNegative slip is a common phenomenon for TCs in wheel loaders. The phenomenon occurif the operator ips the gear lever from reverse to forward or vice versa while the vehicle isstill in motion. This results in the turbine side of the TC starting to spin in the oppositedirection of the impeller. The consequence is that both sides of the TC starts to pressurizethe uid in attempt to push the uid to the opposing side. Negative slip causes wear onthe TC [15] as well as increased fuel consumption as the component is used for brakingthe wheel loader [16].2.4 Hydraulic componentsA hydraulic hybrid concept requires several hydraulic components to function. Accumulators, hydraulic machines and valves are key components to make the hybrid conceptreality. The relevant components are presented in this chapter.2.4.1AccumulatorsFluids can not practically be compressed for energy storage purposes in hydraulic systems. Instead, accumulators are used to store energy in hydraulic circuits. Hydraulicaccumulators are characterized by high capacitance just as their electric equivalent, thesupercapacitor. One of the main advantages of hydraulic accumulators is their potentialto store and release energy in very short time intervals, i.e they have high speci c power.The main disadvantage with hydraulic accumulators compared to, for example electricbatteries is the poor speci c energy, i.e they require large volume to store high amountsof energy. This can be an issue in applications which are sensitive to weight and size,such as vehicles. [21]There are various di erent applications that re ects the potential of hydraulic accumulators high capacitance. In hydrostatic circuits they provide capacitance if ow uctuationsoccur [17, 21]. Moreover they can be used as shock cushioning/pulsation absorption, ashydraulic systems in many cases are exposed to pressure peaks. Accumulators can e ectively absorb these pressure peaks, which potentially could damage the other componentsin the hydraulic circuit such as hoses [17]. There is also potential to even out the powerdemand over the drive cycle. If the drive cycle contains large variations in power theaccumulator could be charged during the periods that the pump is idling, which providespossibilities for energy savings and pump downsizing. [17, 21]Thermodynamic processes a ect accumulators pressure level since heat will either dissipate i.e energy is lost or be absorbed i.e energy is gained depending on the accumulatorsgas temperature in relation to the surrounding temperature.Hydro-pneumatic accumulators are the most common type of accumulator. These type ofaccumulators utilize gas, often nitrogen, as compressible medium. They are both superiorin performance and more compact than for example spring loaded accumulators. Thereare di erent types of hydro-pneumatic accumulators, namely piston and bladder type, seeFigure 2.7. There are also the less common diaphragm accumulator made for applications11

June, 20192THEORYwhere small volumes and exible placement is desired. [17]Figure 2.7: Hydro-pneumatic accumulators, the most common accumulator type in hydraulic system [17].In the Figure two types of hydro-pneumatic accumulators can be seen, to the left bladder type and tothe right piston type. Picture source: [21].Piston hydro-pneumatic accumulators uses a piston plate to separate the oil from the com-pressible gas. Depending on the oil's pressure, the piston will be displaced to a certaindegree, compressing the gas. This type of accumulator is highly sensitive to contaminationthat could damage the seal between piston and cylinder [21]. The bladder hydro-pneumaticaccumulators separates the oil from the compressible gas with a rubber bladder. Increasing oil pressure compresses the rubber bladder and thus the gas. Decreasing oil pressureresults in expatiation of the bladder, extruding the oil. If pressure drops too low there isa risk that the bladder extrudes from the accumulator. Hence a safety valve is used toclose the accumulator if the bladder press against it, stabilizing the pressure. [17, 21]2.4.2Hydraulic machinesHydraulic machines are key components for the hybrid system. An hydraulic machineeither operate as pump converting mechanical rotary power into hydraulic power or asmotor converting hydraulic power into rotary mechanical power [21]. Hydraulic poweris de ned by two central physical quantities, pressure and ow. The ow provided byhydraulic pumps is described by Equation 2.6. The torque required for pumps to maintaincertain pressures is described by Equation 2.7 [22]. Hydraulic pumps deliver ow but notpressure. Pressure is a consequence of the resistance to ow occurring in pipes and at theow consumer. Hence the pump only maintains the essential pressure. [23]q εDnηvolT εD pηhm2π12(2.6)(2.7)

June, 20192THEORYThe quantities in the equations are described as follows: ε denotes the displacementsetting of the hydraulic machine, D the machine displacement, n rotational speed, ppressure di erence, ηvol the volumetric e ciency and ηhm the hydromechanical e ciency.Rotational speed, pressure, displacement setting and viscosity are all examples of quantities a ecting the e ciency of the hydraulic machine. Hydromechanical losses are in uenced by pressure di erences over the machine and frictional losses in the machine whilevolumetric losses are caused by machine leakage and compressibility of the uid. [21]Hydraulic machines can be divided into two groups, rotational- and piston machines. Thedi erence between the types correlates with the movement of the work element. Rotationalmachines uses rotating wor

hydraulic hybrid concept which utilizes the wheel loaders auxiliary pump as a supplement to enable both Series and Parallel hybrid operation. Impact of accumulator sizes has also been investigated, for which smaller accumulator sizes resembles a hydrostatic transmis-sion. The hybrid concept has been evaluated by developing a wheel loader simulation

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