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Arabian Journal for Science and Engineering

, Volume 44, Issue 2, pp 857–872 | Cite as

Model-Based Performance Analysis of a Hybrid Summation Drive Used in Off-Highway Vehicles

  • Prabhakar Kushwaha
  • Sanjoy K. GhoshalEmail author
  • Kabir Dasgupta
Research Article - Mechanical Engineering
  • 47 Downloads

Abstract

High power density, wide speed range and overall good efficiency are the primary demands of a modern hydrostatic transmission used in heavy earth moving machineries (HEMM). Conventional hydrostatic drive consisting of a displacement controlled pump and motor is sometimes inadequate to meet such requirements. Therefore, there is a need for examining alternative concepts of drives for HEMM. This article studies one of such alternatives where the motors are connected in parallel. In another solution, one motor is permanently connected to the load and the other one is connected to the load through gear unit. The latter is used during high-torque, low-speed demand of the vehicle. The challenge with the concept is the reconnection procedure, where the disconnected motor is accelerated, synchronized to the main motor output speed and finally locked to the output shaft, all in fraction of a second. Two different principles for the reconnection are proposed: to control the connection using a disc-type clutch, or to control it from the fluid power system. The performances of the two systems are compared through bond graph model simulation with respect to pressure, speed and efficiency for the varying load demand usually catered by a HEMM.

Keywords

Hydrostatic system Summation drive Single-motor mode Two-motor mode Bond graph Performance analysis 

List of symbols

\(a_\mathrm{dcv}\)

Port opening area of direction control valve

C

Single-port energy storage capacitor element in bond graph model

\(c_\mathrm{d}\)

The flow coefficient

\(d_\mathrm{area}\)

The projected valve port opening distance

\(D_\mathrm{p}\)

Main pump displacement

\(D_\mathrm{m}\)

Motor displacement

\(F_\mathrm{spl}\)

Solenoid force acting on the valve spindle

I

Single-port energy storage inertial element in bond graph model

\(J_\mathrm{ld}\)

Load inertia

\(K_\mathrm{cl}\)

Bulk stiffness of the fluid at the clutch cylinder

\(K_\mathrm{m}\)

Bulk stiffness of the fluid at the motor plenum

\(K_\mathrm{p}\)

Bulk stiffness of the fluid at the pump plenum

\(K_\mathrm{spl}\)

Spring stiffness of the solenoid valve spindle

\(K_\mathrm{splh}\)

A high value of the spring stiffness of the solenoid spindle

\(M_\mathrm{spl}\)

Mass of the solenoid valve spindle

\(P_\mathrm{acml}\)

The constant pressure from the accumulator

\(P_\mathrm{p}\)

The pump pressure

\(P_\mathrm{ps}\)

The pump pressure corresponding to single-motor drive mode

\(P_\mathrm{md}\)

Pump pressure of two-motor drive system

\(P_\mathrm{ms}\)

Motor pressure of single-motor drive system

\(P_\mathrm{md}\)

Motor pressure of two-motor drive system

\(P_\mathrm{mp}\)

Motor pressure working as pump

\(P_\mathrm{smp}\)

Sump pressure

\(p_\mathrm{l}\)

Load momentum

R

Single-port resistive element

\(R_\mathrm{cv}\)

Clutch valve port resistance

\(R_\mathrm{dcv}\)

Resistance of direction control valve

\(R_\mathrm{lkgp}\)

Leakage resistance of the pump

\(R_\mathrm{lkgm}\)

Leakage resistance of the motor

\(R_\mathrm{lkgc}\)

Leakage resistance of the clutch

\(R_\mathrm{ld}\)

Load resistance

\(R_\mathrm{spl}\)

Viscous damping of the solenoid valve spindle

\(R_\mathrm{low}\)

Resistance of the relief valve at low pressure

\(\rho \)

Density of the working fluid

SF

Single-port source of flow element in bond graph model

SE

Single-port source of effort element in bond graph model

\(\dot{V}_\mathrm{dcv}\)

Flow through the direction control valve

\(\dot{V}_\mathrm{s}\)

Theoretical flow supplied by the pump

\(\dot{V}_\mathrm{lkgp}\)

Leakage flow from the pump plenum

\(\dot{V}_\mathrm{lkgm}\)

Leakage flow from the motor plenum

\(\dot{V}_\mathrm{p}\)

Volume change rate of the fluid at pump plenum

\(\dot{V}_\mathrm{m}\)

Volume change rate of the fluid at motor plenum

\(\dot{V}_\mathrm{mi}\)

Flow supplied to the inlet port of hydro-motor

\(\dot{V}_\mathrm{mo}\)

Outlet flow from the hydro-motor

\(\omega _\mathrm{m}\)

Motor speed

\(\omega _\mathrm{p}\)

Pump speed

\(\omega _\mathrm{m1}\)

Speed of the motor \(\hbox {M}_{1}\)

\(\omega _\mathrm{m2f}\)

Speed of the motor \(\hbox {M}_{2}\) during free running

\(\omega _\mathrm{md}\)

Load speed of double-motor drive system

\(\omega _\mathrm{th}\)

Threshold speed value

\(x_\mathrm{clp}\)

Contemporary displacement of the clutch plate

\(x_\mathrm{clpmx}\)

Maximum displacement of the clutch plate

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References

  1. 1.
    Mandal, S.K.; Dasgupta, K.; Pan, S.; Chattopadhyay, A.: Theoretical and experimental studies on the steady-state performance of low-speed high-torque hydrostatic drives. Part 1: modelling. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 223, 2663–74 (2009)CrossRefGoogle Scholar
  2. 2.
    Mandal, S.K.; Dasgupta, K.; Pan, S.; Chattopadhyay, A.: Theoretical and experimental studies on the steady-state performance of low-speed high-torque hydrostatic drives. Part 2: experimental investigation. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 223, 2675–85 (2009)CrossRefGoogle Scholar
  3. 3.
    Linares, P.; Méndez, V.; Catalán, H.: Design parameters for continuously variable power-split transmissions using planetaries with 3 active shafts. J. Terramech. 47, 323–35 (2010)CrossRefGoogle Scholar
  4. 4.
    Macor, A.; Rossetti, A.: Optimization of hydro-mechanical power split transmissions. Mech. Mach. Theory 46, 1901–19 (2011)CrossRefGoogle Scholar
  5. 5.
    Manring, N.D.; Al-Ghrairi, T.S.; Vermillion, S.D.: Designing a hydraulic continously variable-transmission (CVT) for retrofitting a rear-wheel drive automobile. J. Mech. Des. 135, 121003–11 (2013)CrossRefGoogle Scholar
  6. 6.
    Shen, W.; Jiang, J.; Su, X.; Karimi, H.R.: Control strategy analysis of the hydraulic hybrid excavator. J. Frankl. Inst. 352, 541–61 (2015)CrossRefzbMATHGoogle Scholar
  7. 7.
    Krauss, A.; Ivantysynova, M.: Power split transmissions versus hydrostatic multiple motor concepts-a comparative analysis. SAE Technical Paper. No. 2004-01-2676 (2004)Google Scholar
  8. 8.
    Liscouet, J.; Ossyra, J.C.; Ivantysynova, M.; Franzoni, G.; Zhang, H.: Continuously variable transmissions for truck applications—secondary control versus power split. In: 5th International Fluid Power Conference, Achen, Germany (2006)Google Scholar
  9. 9.
    Carl, B.; Ivantysynova, M.; Williams, K.: Comparison of operational characteristics in power split continuously variable transmissions. SAE Technical Paper. No. 2006-01-3468 (2006)Google Scholar
  10. 10.
    Fussner, D.; Wendel, G.; Wray, C.: Analysis of a hybrid multi-mode hydromechanical transmission. SAE Technical Paper. No. 2007-01-1455 (2007)Google Scholar
  11. 11.
    Meng, F.; Chen, H.; Zhang, T.; Zhu, X.: Clutch fill control of an automatic transmission for heavy-duty vehicle applications. Mech. Syst. Signal Process. 64, 16–28 (2015)CrossRefGoogle Scholar
  12. 12.
    Buisson, J.; Cormerais, H.; Richard, P.Y.: Analysis of the bond graph model of hybrid physical systems with ideal switches. Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng. 216, 47–63 (2002)CrossRefGoogle Scholar
  13. 13.
    Mosterman, P.J.; Biswas, G.: A theory of discontinuities in physical system models. J. Frankl. Inst. 335, 401–39 (1998)CrossRefzbMATHGoogle Scholar
  14. 14.
    Mosterman, P.J.; Biswas G.: Deriving discontinuous state changes for reduced order systems and the effect on compositionality. In: Proceedings of 13th International Workshop on Qualitative Reasoning, Scotland, pp. 160-168 (1999)Google Scholar
  15. 15.
    Mosterman, P.J.; Biswas, G.; Otter M.: Simulation of discontinuities in physical system models based on conservation principles. In: Summer Computer Simulation Conference Society For Computer Simulation, Etc. pp. 320–325 (1998)Google Scholar
  16. 16.
    Buisson, J.; Cormerais, H.: Modeling hybrid linear systems with bond-graph using an implicit formulation. Bond Graph Dig. 1 (1999)Google Scholar
  17. 17.
    Richard, P.Y.; Morarescu, M.; Buisson, J.: Bond graph modelling of hard nonlinearities in mechanics: a hybrid approach. Nonlinear Anal. Hybrid Syst. 2, 922–51 (2008)MathSciNetCrossRefzbMATHGoogle Scholar
  18. 18.
    Mukherjee, A.; Samantaray, A.K.: Bond Graph in Modeling, Simulation and Fault Identification. IK International Pvt Ltd, New Delhi (2006)Google Scholar
  19. 19.
    Thoma, J.U.: Simulation by Bondgraph. Springer, Berlin (1990)CrossRefGoogle Scholar
  20. 20.
    Borutzky, W.: Bond Graph Modelling of Engineering Systems. Springer, New York (2011)CrossRefzbMATHGoogle Scholar
  21. 21.
    Samantaray, A.K.: Symbols 6.0 Software Manual. Indian Institute of Technology, Kharagpur (2017)Google Scholar
  22. 22.
    Bosch Rexroth India Ltd. Product catalogue: RA 92003-A/06.09, Axial Piston Variable Pump A4VGGoogle Scholar
  23. 23.
    Bosch Rexroth India Ltd. Product catalogue: RE 91 001/09.00, Fixed Displacement Motor A2FMGoogle Scholar
  24. 24.
    Bosch Rexroth India Ltd. Product catalogue: RE 18136-23/07.10, 2/2 way directional valves with solenoid actuationGoogle Scholar
  25. 25.
    Kumar, N.; Dasgupta, K.: Steady-state performance investigation of hydrostatic summation drive using bent-axis hydraulic motor. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 229, 3234–51 (2015)CrossRefGoogle Scholar
  26. 26.
    Dasgupta, K.; Ghoshal, S.K.; Kumar, N.: Modelling and simulation of a hydrostatic transmission system using two motor summation drive. J. Model. Simul. Identif. Control 1(3), 89–104 (2013)Google Scholar
  27. 27.
    Spiazzi, G.; Mattavelli, P.; Rossetto, L.; Malesani, L.: Application of sliding mode control to switch-mode power supplies. J. Circuits Syst. Comput. 5, 337–354 (1995)CrossRefGoogle Scholar
  28. 28.
    Utkin, V.; Jürgen, G.; Jingxin, S.: Sliding Mode Control in Electro-Mechanical Systems. CRC Press, Cambridge (2017)Google Scholar
  29. 29.
    Kumar, N.; Dasgupta, K.; Ghoshal, S.K.: Dynamic analysis of a closed-circuit hydrostatic summation drive using bent axis motors. Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng. 229, 761–77 (2015)CrossRefGoogle Scholar

Copyright information

© King Fahd University of Petroleum & Minerals 2018

Authors and Affiliations

  1. 1.Department of Mining Machinery EngineeringIndian Institute of Technology (Indian School of Mines)DhanbadIndia
  2. 2.Department of Mechanical EngineeringIndian Institute of Technology (Indian School of Mines)DhanbadIndia

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