Mathematical formulation and demonstration of a dynamic system-level ship thermal management tool

Abstract This paper presents the mathematical formulation and unique capability of a system-level ship thermal management tool, vemESRDC, developed to provide quick ship thermal responses in early design stages. The physical model combines principles of classical thermodynamics and heat transfer, along with appropriate empirical correlations to simplify the model and expedite the computations. As a result, the tool is capable of simulating dynamic thermal response of an entire ship, characterized by intricate thermal interactions within a complex ship structure, within an acceptable time frame. In this work, vemESRDC is demonstrated through three case studies in which transient thermal responses of an all-electric ship to different ship operation modes, weather conditions, and partial loss of cooling are investigated. The analysis examines particularly the following: (1) the required cooling capacities to maintain each ship component within its design limit; (2) equipment temperature variations with respect to partial cooling loss in battle mode; and (3) the assets of installing seawater heat exchangers to pre-cool deionized freshwater before chillers. For the notional all-electric ship conceived and assessed in this work, the results verify the capability of vemESRDC to capture dynamic thermal interactions between shipboard equipment and their respective surroundings and cooling systems, e.g., the tool provides practical insights into pulse load cooling strategy, and different solutions are obtained for distinct weather conditions. In addition to the case studies performed in this work, vemESRDC can be employed to conduct diverse studies based on which concrete ship thermal management strategies can be formulated in early design stages.

[1]  Wei Jiang,et al.  Thermal modeling and simulation of the chilled water system for future all electric ship , 2011, 2011 IEEE Electric Ship Technologies Symposium.

[2]  Wei Jiang,et al.  System-level thermal modeling and co-simulation with hybrid power system for future all electric ship , 2009, 2009 IEEE Electric Ship Technologies Symposium.

[3]  A. Bejan Convection Heat Transfer , 1984 .

[4]  W. Cheney,et al.  Numerical analysis: mathematics of scientific computing (2nd ed) , 1991 .

[5]  Adi Ben-Israel A Newton-Raphson method for the solution of systems of equations , 1966 .

[6]  R. Hovsapian,et al.  Notional all-electric ship thermal simulation and visualization , 2009, 2009 IEEE Electric Ship Technologies Symposium.

[7]  Amiel B. Sanfiorenzo Cooling system design tool for rapid development and analysis of chilled water systems aboard U.S. Navy surface ships , 2013 .

[8]  Hessam Babaee,et al.  Comprehensive system-level thermal modeling of all-electric ships: Integration of SMCS and vemESRDC , 2015, 2015 IEEE Electric Ship Technologies Symposium (ESTS).

[9]  M. Steurer,et al.  Developing a validated real-time system-level thermal simulation for future all-electric ships , 2013, 2013 IEEE Electric Ship Technologies Symposium (ESTS).

[10]  Norbert Doerry,et al.  Integrated Power System for Marine Applications , 1994 .

[11]  A. F. Mills Basic Heat and Mass Transfer , 1999 .

[12]  Sam Yang,et al.  Thermal Simulation of an Off-Grid Zero Emissions Building , 2014 .

[13]  Sam Yang,et al.  Development and implementation of a dynamic vapor compression refrigeration model into vemESRDC ship thermal management tool , 2015, 2015 IEEE Electric Ship Technologies Symposium (ESTS).

[14]  W. Beckman,et al.  Solar Engineering of Thermal Processes , 1985 .

[15]  Thomas M. Kiehne,et al.  Dynamic simulation of ship-system thermal load management , 2010, 2010 IEEE International Conference on Automation Science and Engineering.

[16]  David R. Kincaid,et al.  Numerical analysis: mathematics of scientific computing (2nd ed) , 1996 .

[17]  C. Chryssostomidis,et al.  The experimental validation of a transient power electronic building block (PEBB) mathematical model , 2013 .

[18]  Edward J. Kansa,et al.  Mathematical model of wood pyrolysis including internal forced convection , 1977 .

[19]  A. Monti,et al.  System-Level Dynamic Thermal Modeling and Simulation for an All-Electric Ship Cooling System in VTB , 2007, 2007 IEEE Electric Ship Technologies Symposium.

[20]  Hessam Babaee,et al.  System-level analysis of chilled water systems aboard naval ships , 2015, 2015 IEEE Electric Ship Technologies Symposium (ESTS).

[21]  J.S. Bernardes,et al.  Heat Generation During the Firing of a Capacitor-Based Railgun System , 2007, IEEE Transactions on Magnetics.

[22]  A. London,et al.  Compact heat exchangers , 1960 .

[23]  Julie Chalfant,et al.  Notional all-electric ship systems integration thermal simulation and visualization , 2012, Simul..

[24]  J. O´Rourke,et al.  Computational Geometry in C: Arrangements , 1998 .

[25]  Richard C Aiken,et al.  Stiff computation , 1985 .

[26]  John D. Herbst,et al.  A collaborative early-stage ship design environment , 2012 .

[27]  K. Ghia,et al.  Editorial Policy Statement on the Control of Numerical Accuracy , 1986 .

[28]  Sam Yang,et al.  Volume element model mesh generation strategy and its application in ship thermal analysis , 2015, Adv. Eng. Softw..

[29]  Sam Yang,et al.  A volume element model (VEM) for energy systems engineering , 2015 .

[30]  J. Douglas Faires,et al.  Numerical Analysis , 1981 .

[31]  S. Churchill,et al.  Correlating equations for laminar and turbulent free convection from a vertical plate , 1975 .

[32]  T. Kiehne,et al.  System-Level Thermal Management of Pulsed Loads on an All-Electric Ship , 2007, IEEE Transactions on Magnetics.

[33]  M. J. Moran,et al.  Fundamentals of Engineering Thermodynamics , 2014 .

[34]  C. W. Gear,et al.  Numerical initial value problem~ in ordinary differential eqttations , 1971 .