This document summarizes the process used to generate a full engine fuel consumption map for a 2020 General Motors 3.0L Diesel engine modeled using GT-Power® as documented in the “Engine Efficiency Technology Study” Final Report prepared for Argonne National Laboratory included in this package as 3b- Engine Efficiency Technology Study Final Report for Argonne National Lab.pdf (Thomas E. Reinhart, Engine Efficiency Technology Study: Final Report, SwRI Project No. 03.26457, November 30, 2021). The original GT-Power® model configuration as published in the report was re-run by SwRI using the EPA specified MTE Diesel fuel shown in the Fuel Properties section below. The GT-Power® model data using the MTE Diesel fuel was then used to generate this ALPHA engine map which defines the complete operating boundaries of the engine needed for ALPHA modeling including idle, WOT, minimum torque, and maximum speed.
SUGGESTED CITATION:
GT Power 2020 GM 3.0L Duramax Engine from Argonne Report Diesel Fuel - ALPHA Map Package. Version 2023-06. Ann Arbor MI: US EPA National Vehicle and Fuel Emissions Laboratory, National Center for Advanced Technology, 2023.
Engine Physical Characteristics
Set physical characteristics based on published information provided in 3b- Engine Efficiency Technology Study Final Report for Argonne National Lab.pdf.
engine = [];
engine.name = 'GT Power 2020 GM 3.0L Duramax Engine from Argonne Report Diesel Fuel';
engine.combustion_type = enum_engine_combustion_type.compression_ignition;
engine.displacement_L = 3;
engine.num_cylinders = 6;
engine.bore_mm = 84;
engine.stroke_mm = 90;
Fuel Consumption Data
Import the GT-Power® modeled MTE Diesel fuel data provided in 3c- GT Power 2020 GM 3.0L Duramax Engine Diesel Fuel - Test Data File.xlsx. EPA reviews the quality of the test data we import to ensure consistency with expected data trends and emotor system physics. Any data points considered significant outliers are removed from the dataset before generating the final efficiency map. In addition, since many of the datasets are missing low-speed and torque datapoints, occasionally a few “grounding” datapoints are added to help the curve fitting algorithm extrapolate the gradients near the map’s boundaries.
SS_data_tab = readmatrix('3c- GT Power 2020 GM 3.0L Duramax Engine Diesel Fuel - Test Data File.xlsx','sheet','Steady State Test Data','DataRange','A6:F262'); SS_data.name = 'Core Test Data'; SS_data.speed_rpm = SS_data_tab(:,1); SS_data.bmep_bar = SS_data_tab(:,2); SS_data.fuel_gps = SS_data_tab(:,3);
Maximum Torque (WOT) Curve Data
Import the maximum torque data provided in 3c- GT Power 2020 GM 3.0L Duramax Engine Diesel Fuel - Test Data File.xlsx. An additional estimation point was added at 650 RPM and 100 Nm to extrapolate the trend of WOT line below 1000 RPM.
WOT_data_tab = readmatrix('3c- GT Power 2020 GM 3.0L Duramax Engine Diesel Fuel - Test Data File.xlsx','sheet','Maximum Torque','DataRange','A5:B17'); WOT_data.speed_rpm = [WOT_data_tab(:,1);650]; WOT_data.torque_Nm = [WOT_data_tab(:,2);100];
Minimum Torque (Zero Accelerator Pedal) Curve Data
Import the minimum torque data provided in 3c- GT Power 2020 GM 3.0L Duramax Engine Diesel Fuel - Test Data File.xlsx.
CT_data_tab = readmatrix('3c- GT Power 2020 GM 3.0L Duramax Engine Diesel Fuel - Test Data File.xlsx','sheet','Minimum Torque','DataRange','A5:B12'); CT_data.speed_rpm = CT_data_tab(:,1); CT_data.torque_Nm = CT_data_tab(:,2);
Fuel Properties
Load the MTE Diesel fuel properties provided by EPA for SwRI to use when generating the GT-Power® modeled data specified in 3c- GT Power 2020 GM 3.0L Duramax Engine Diesel Fuel - Test Data File.xlsx.
engine.fuel = class_REVS_fuel('MTE_DIESEL');
disp(engine.fuel);
class_REVS_fuel with properties:
id: 'MTE_DIESEL'
description: 'Diesel for MTE'
density_kgpL_15C: 0.8389
energy_density_MJpkg: 43.0980
carbon_weight_fraction: 0.8740
alcohol_pct_vol: 0
gCO2pgal: 10180
energy_density_BTUplbm: 1.8529e+04
specific_gravity: 0.8397
Set Idle Speed
Use the Idle speed provided in the test data specified in 3c- GT Power 2020 GM 3.0L Duramax Engine Diesel Fuel - Test Data File.xlsx file.
engine.idle_target_speed_radps = 700 * unit_convert.rpm2radps ;
Engine Build for Simulation in ALPHA
Construct the ALPHA engine, combining all of the above inputs. Fit the fueling data onto a grid for simple interpolation and establish points that represent the maximum and minimum engine torque versus speed. Confirm the quality of fit between the input data and the resulting engine description by examining the resulting plots.
engine = REVS_build_engine(engine, SS_data,'WOT', WOT_data,'CT', CT_data, 'plot_bsfc','plot_efficiency'... ,'bsfc_contours',[200:5:220, 220:10:300],'efficiency_contours',[30:1:42,5:2:30]);
Idle Fuel Verification
Confirm appropriate fuel consumption near idle conditions.
REVS_check_idle_fuel(engine)
Estimated idle fuel consumption @ 700 RPM & 58.3 Nm: 0.276 g/sec => Indicated Efficiency: 48.8% Warning: Idle fuel consumption is below expected range [0.385 - 0.500]
Fuel Map Linearity
Confirm expected trends in output fuel map, specifically in regions where test data are unavailable.
REVS_plot_engine_fuel_linearity(engine)
Model Calibration Options
Calibrate additional properties of the REVS engine model which can be set to match observed behaviors during the validation process.
Note: Default values are used unless properties are specified below, which are derived from the composite set of EPA testing and model validation activities.
File Description
Generate and write the created ALPHA engine definition into a file for use in later simulations.
engine.write_mscript('engine_GTP_2020_GM_Duramax_3L0_Diesel_report_image_Diesel.m');
Engine Build: engine_GTP_2020_GM_Duramax_3L0_Diesel_report_image_Diesel.m
% ALPHA ENGINE DEFINITION % Generated 29-Jun-2023 11:06:49 % Constructor engine = class_REVS_engine(); engine.name = 'GT Power 2020 GM 3.0L Duramax Engine from Argonne Report Diesel Fuel'; engine.source_filename = mfilename; engine.matrix_vintage = enum_matrix_vintage.present; % Physical Description engine.displacement_L = 3; engine.num_cylinders = 6; engine.combustion_type = enum_engine_combustion_type.compression_ignition; engine.bore_mm = 84; engine.stroke_mm = 90; % Maximum Torque Curve engine.full_throttle_speed_radps = [ 0.0000000000000000 ; 68.067840827778852 ; 104.71975511965977 ; 130.89969389957471 ; 157.07963267948966 ; 261.79938779914943 ; 314.15926535897933 ; 366.51914291880917 ; 418.87902047863906 ; 471.23889803846896 ; 494.80084294039244 ; 518.36278784231592 ]; engine.full_throttle_torque_Nm = [ 0.0000000000000000 ; 100.00000000000000 ; 332.70990000000000 ; 600.49554000000001 ; 620.20569999999998 ; 622.04236000000003 ; 619.40890000000002 ; 580.57870000000003 ; 496.74759999999998 ; 372.43554999999998 ; 316.49512749999991 ; 0.0000000000000000 ]; engine.naturally_aspirated_speed_radps = [ 0.0000000000000000 ; 518.36278784231592 ]; engine.naturally_aspirated_torque_Nm = [ 214.85917317405870 214.85917317405870 ]; % Minimum Torque Curve engine.closed_throttle_speed_radps = [ 0.0000000000000000 ; 73.303828583761842 ; 261.79938779914943 ; 418.87902047863906 ; 518.36278784231592 ]; engine.closed_throttle_torque_Nm = [ -13.753939393939396 ; -21.000000000000000 ; -34.399999999999999 ; -55.159999999999997 ; -64.993939393939399 ]; % Fuel Map engine.fuel_map_speed_radps = [ 0.0000000000000000 ; 26.179938779914941 ; 52.359877559829883 ; 78.539816339744817 ; 104.71975511965977 ; 130.89969389957471 ; 157.07963267948969 ; 183.25957145940455 ; 209.43951023931953 ; 235.61944901923454 ; 261.79938779914943 ; 287.97932657906438 ; 314.15926535897938 ; 340.33920413889422 ; 366.51914291880911 ; 392.69908169872417 ; 418.87902047863906 ; 445.05895925855401 ; 471.23889803846896 ; 494.80084294039244 ; 518.36278784231592 ]; engine.fuel_map_torque_Nm = [ -68.243636363636369 ; -33.892448575620058 ; 0.45873921239624882 ; 23.893092229337718 ; 47.731181799760272 ; 71.939066917656874 ; 95.258884885813842 ; 119.34510328164735 ; 143.03336635097116 ; 166.59049807295057 ; 190.90805642926534 ; 214.76514382154559 ; 238.48875069361134 ; 261.78183874429578 ; 286.69639430545953 ; 310.30004463216676 ; 333.90369495887393 ; 357.74898431655652 ; 381.59427367423916 ; 405.05305508319310 ; 428.51183649214704 ; 452.79210876514173 ; 477.07238103813643 ; 497.98335510249638 ; 525.86644278065114 ; 565.85247150635723 ; 592.33579819998943 ; 618.81912489362162 ; 653.14447800000005 ]; engine.fuel_map_gps = [ -0.038074473019999562 -0.12061658760098412 -0.20306660995658055 -0.26136350928262947 -0.30449585542556495 -0.34635073645540815 -0.38660135890602820 -0.42420443599991869 -0.45725984425160499 -0.48351315264102313 -0.50138960185605297 -0.50736380644097723 -0.49871252187016019 -0.47215949472759455 -0.42322709665823227 -0.35398174916432884 -0.26766631706980132 -0.17543047306661463 -0.083591245154227431 -0.0014814311982338079 0.079595977678295238 ; -0.027368058463971997 -0.063653153580021438 -0.099912368959501549 -0.11119927716512355 -0.11736963760073746 -0.12350054401567578 -0.13086481631442856 -0.13658807739408513 -0.13526944891334589 -0.12261812285004903 -0.093620849923312280 -0.051798631707022584 -0.0014792045647445606 0.057809875157738652 0.13266938999388728 0.24876021482397395 0.37746881193388254 0.52260646297993707 0.68123624697848817 0.81357800756260745 0.94137637697479970 ; -0.016811533343641185 -0.0067494972330714555 0.0078381041457056874 0.039237397358318694 0.069528810614845088 0.098183482901723379 0.12347713764495491 0.15045160976962890 0.18782718105366297 0.23510206508334930 0.31545346771654981 0.40286646497839196 0.49379875319849392 0.59843034980407495 0.69048065745263720 0.86437131043017967 1.0147383216322445 1.2108093276281613 1.4469627995101346 1.6247297441300168 1.8057178857985752 ; -0.0097748887267624235 0.032002956889529387 0.084755853483404933 0.14242732613809542 0.19759310194507326 0.24503283563379788 0.29505205893545833 0.34792129854966153 0.40978494101388180 0.48275701375118846 0.59641753037100287 0.70910237248278030 0.82497568986768532 0.96255012218902147 1.1155006169397887 1.2728780096394070 1.4471916613464137 1.6891816890548750 1.9437659484445438 2.1746479162544565 2.4032826315669165 ; -0.0027599906052707432 0.077179182121031351 0.16322050433917465 0.24794249090084597 0.32911284686042241 0.40504815166386426 0.48459847499331182 0.56585160000757706 0.65178437641366327 0.75531390442447122 0.89915237053139940 1.0353366501835073 1.1810063414128980 1.3446300751576004 1.5387996523807812 1.7230562267498308 1.9389448889939489 2.2163583795525210 2.4777647502288032 2.7519006312663326 3.0178376383364474 ; 0.014020744805609381 0.12904575963473841 0.24363919330549866 0.35724783473012850 0.47002783088770822 0.58579718535370895 0.70043700466708658 0.81166110985539308 0.92125784898084706 1.0639198022213314 1.2293926621512721 1.3865413383098442 1.5706769850016475 1.7749672829653131 2.0247164653247696 2.2690134047089554 2.5302522547456925 2.8137154838496441 3.1011410311011920 3.3748061238620628 3.6516798757691982 ; 0.035996598563866569 0.17954076225505369 0.32275107552805443 0.46588020224740673 0.61116665219516297 0.76242992299575629 0.90524860200021595 1.0483608462193470 1.1985487260109253 1.3657294530445230 1.5571841655439422 1.7583551830757456 1.9667935006541009 2.2763990353944203 2.5726439722389411 2.8526847272886018 3.1457064544310529 3.4135349864962903 3.7255371378276108 3.9975201842950612 4.2787343659344383 ; 0.058550902630019858 0.23272705749383374 0.40682916054538976 0.58145474649978124 0.75816246219501304 0.93814836183502226 1.1092286237432245 1.2818959009421769 1.4700711412740053 1.6755676057307114 1.9238495904443857 2.1806949667479261 2.4132128797362067 2.7265921006402802 3.0533646519758908 3.3769278092251391 3.6963442148079895 4.0123121892056144 4.3494611342828557 4.6482199184981638 4.9487087140589097 ; 0.080984295236690790 0.28634334064989797 0.49182477460135804 0.69782740096048335 0.90500490536926537 1.1136464279811369 1.3128291110330030 1.5198381522370430 1.7471474977673154 1.9871969916527701 2.2691660044915221 2.5602613860043317 2.8262575161866157 3.1535244544720999 3.5074109743830562 3.8612776520213554 4.2053682649889863 4.5805515883230052 4.9591621009668998 5.2947160550772754 5.6301086494849848 ; 0.10394342760150185 0.34095725314617686 0.57818913632870950 0.81568952292355201 1.0529370061877372 1.2902323373172733 1.5186309872217030 1.7591953443233104 2.0193040543287619 2.2943864612947875 2.5988491849243331 2.9248906857323127 3.2286321161207607 3.5939490917054391 3.9716472014225443 4.3384452495658854 4.7266846462913392 5.1444193876541995 5.5657592392116619 5.9473263634162610 6.3288547153146570 ; 0.12871263267977079 0.39862287957855902 0.66876711658429755 0.93923102597461428 1.2096620233638669 1.4798899991589061 1.7365641046265956 2.0075786732610594 2.2992558474476468 2.6061308748494354 2.9493080740163302 3.3137990633472150 3.6520663178239063 4.0489512914230312 4.4536683446211578 4.8269340543411241 5.2794985757447233 5.7382157721883065 6.2040081696554834 6.6373205808394768 7.0718345671077527 ; 0.15437864049116376 0.45645737265025116 0.75873417248183650 1.0615754123862255 1.3652132329293674 1.6687938073339839 1.9524811870713890 2.2525866112357305 2.5753787165812536 2.9204270759962334 3.2981936381360302 3.7010538044663579 4.0784445640137763 4.4988482825536469 4.9231163049324245 5.3330888818862148 5.8325987172726643 6.3358636921732554 6.8543826313203224 7.3353389462447192 7.8215795774198433 ; 0.18142757747792587 0.51522833006921720 0.84913608477171187 1.1835896041239795 1.5194696630648181 1.8554817835261497 2.1689550029643057 2.4984422535312900 2.8514584091084600 3.2329409318028364 3.6619873634077535 4.0898488201122039 4.5038353823665398 4.9337378205779183 5.3796966334345999 5.8480146728088460 6.3860857972539806 6.9445855231533935 7.5180872231546774 8.0487033775254790 8.5859866523801891 ; 0.20957067591578057 0.57411599359965360 0.93871812680501943 1.3033983989659401 1.6686081149573855 2.0363979912346597 2.3828027389038198 2.7453762719831181 3.1289611263475585 3.5448337527908218 4.0227778405234984 4.4863730124774603 4.9267138474791512 5.3594968673442756 5.8336823344152533 6.3710632179712112 6.9521212748882286 7.5591383597140878 8.1847402589357117 8.7652013494510026 9.3504353376804072 ; 0.24154719197382193 0.63827533011314452 1.0351977333208007 1.4320492123111792 1.8281636417279521 2.2272158508470206 2.6132181282426421 3.0155725934715769 3.4319050734344687 3.8823511038361227 4.3978761047028545 4.9270168929264244 5.4030225533254246 5.8389097810908721 6.3427236552989319 6.9379478837583530 7.5729442579460091 8.2355782222571250 8.9163827129961568 9.5472432037049195 10.175140698843149 ; 0.27371133925953933 0.70003599530009364 1.1267938082828446 1.5542706049536923 1.9814603572578511 2.4053508738755318 2.8326036370238925 3.2688208774283405 3.7173450044432275 4.2030315319980005 4.7446462360581627 5.3167483641297180 5.8264940356340276 6.2975402870319783 6.8479067960182425 7.4685504629452319 8.1554289354438048 8.8907534209201149 9.6369078623665843 10.296940871775865 10.951437668334016 ; 0.30763949566529480 0.76275572468801089 1.2183214334557517 1.6751111948885256 2.1331562038611760 2.5823005707091125 3.0492350191993371 3.5219355386319040 3.9990609548640723 4.5130649144715678 5.0744887966364516 5.6922050686840393 6.2300249423289999 6.7470464729929223 7.3590578989935720 8.0143514646476941 8.7494305000598942 9.5509528405491722 10.355789202948225 11.037105776841097 11.714065377097667 ; 0.34354840556169186 0.82718563696421998 1.3109383902807894 1.7947850536332373 2.2779724638427030 2.7610377149887562 3.2622424955710132 3.7720413880432400 4.2798259713727029 4.8191608225003675 5.4064163522332738 6.0295163992810208 6.5953539514576738 7.1886045009268393 7.8631424997727173 8.5992773601111772 9.3862346599078563 10.209650383749782 11.040424663525789 11.756462550403514 12.464569282198022 ; 0.38076717867095899 0.89266280415066934 1.4042169225713577 1.9148653694540618 2.4245950155253704 2.9376818969871450 3.4704360070152975 4.0163109109865633 4.5462128813029405 5.1074962467767895 5.7147622051205369 6.3634333225395583 6.9587175506323486 7.6251939580098913 8.3703648498982570 9.1836000762895669 10.012417843690061 10.843757839533216 11.695060567031460 12.445333160439334 13.191345102898426 ; 0.41827892957941298 0.95811173098105218 1.4973828375965494 2.0356646130878215 2.5740995122559402 3.1176062036627550 3.6734638857911701 4.2377939796387816 4.7896594246015018 5.3733105309706843 6.0002606792011139 6.6625926550813928 7.3447173999580828 8.0842687080389091 8.8850655970760091 9.7292364080715217 10.574371414445189 11.434366747799132 12.311121360703916 13.098775120153682 13.884317571177343 ; 0.45643364341981613 1.0246745477604957 1.5924647793212898 2.1597661188083523 2.7279140817153649 3.2995723204142555 3.8761399132520564 4.4621090934604428 5.0335664362647847 5.6375478764092648 6.2898986224644435 6.9888591859507212 7.7485730826012738 8.5565503011777171 9.4007658353406374 10.261310843965090 11.107199222106876 12.003350457120527 12.913979331365280 13.736527127446051 14.558837423148882 ; 0.49657074278900420 1.0948156752957345 1.6929120087056000 2.2910486744868850 2.8899134918996419 3.4900917918792347 4.0919421931741775 4.7012548121239588 5.3066827014011606 5.9347267165570861 6.6191243856396342 7.3742736889988132 8.1875959425766585 9.0497964978530163 9.9293447410674780 10.792390214007693 11.664647850944675 12.588675201269686 13.532588729059016 14.386860763818763 15.241867108728384 ; 0.53751387534967410 1.1661374973938485 1.7948887235129709 2.4239719497382382 3.0533730360708757 3.6824893477809297 4.3101679788201084 4.9499527024341461 5.5890556213662492 6.2440872605211464 6.9645136002539605 7.7801548953748396 8.6348511734361644 9.5427358332665708 10.453429178569881 11.327241048071976 12.229627700278531 13.181123031968548 14.152477906429050 15.032715797813514 15.914401933880299 ; 0.57352411151601546 1.2282585430740074 1.8832738260355870 2.5387403563861217 3.1942368786346029 3.8484076364389077 4.5000322298891247 5.1630150889149649 5.8279095159694210 6.5124430518661578 7.2712679909705962 8.1224187042989247 9.0228328985778941 9.9648862844303938 10.884032543851349 11.793501947318882 12.729832105724178 13.699343135639097 14.689768416264284 15.588501863317218 16.489278398944414 ; 0.62285028232800921 1.3118964638736177 2.0013080114202175 2.6912155427284028 3.3810845081698879 4.0692617016745602 4.7504040944507251 5.4492439700171440 6.1476815226603900 6.8637225748408159 7.6765283045235098 8.5779732064212233 9.5346876923717563 10.538006672209692 11.456445732322614 12.419163769277205 13.401786735399838 14.399521145097514 15.412216893975454 16.331231274654606 17.252877823371673 ; 0.69733732924610448 1.4332081138818473 2.1694112899263249 2.9059860087436657 3.6419682628565253 4.3754486254904181 5.1083866534947697 5.8515352316779650 6.5933677985172441 7.3647079306704661 8.2598904954296568 9.2227495292988060 10.269813918308095 11.330378629335685 12.341896580868568 13.354886634918907 14.380783132489578 15.416486576404267 16.460128729141555 17.403746052299748 18.349060216079469 ; 0.74866105664267024 1.5139601371685381 2.2794022345246709 3.0451622011696839 3.8113568232290134 4.5775580005601189 5.3391537874265458 6.1059599051277909 6.8842016438640581 7.7170029225513987 8.6537125897250533 9.6738973317916255 10.765497510804881 11.860891033502664 12.925019169794354 13.978553229840301 15.034040424834046 16.094225720233243 17.158362096173732 18.118173125903372 19.078808015609638 ; 0.80089207134185658 1.5949428797863483 2.3888601466064596 3.1826809317366931 3.9768215073690021 4.7713377169684357 5.5629917314951491 6.3600913703781545 7.1799929998276273 8.0649806011119338 9.0574686661466632 10.123633193626427 11.266966720230810 12.400235481409775 13.505631788424999 14.599505577103836 15.687605900467632 16.773366359356860 17.858274160256805 18.834497036801540 19.810703018331893 ; 0.86939016971651517 1.7002226522722885 2.5304260987249449 3.3591224217339235 4.1856721084479380 5.0108480114521985 5.8398294554471821 6.6869461545812916 7.5789143594108177 8.5444359464849615 9.5984126007828241 10.725404092397790 11.899801678750832 13.081180757286527 14.249872255050256 15.400427996370084 16.533917787344631 17.654475677982497 18.766849986075869 19.764643376570124 20.761377089410171 ]; % Fuel Properties engine.fuel = class_REVS_fuel('MTE_DIESEL'); % Idle Speed engine.idle_target_speed_radps = class_REVS_dynamic_lookup; engine.idle_target_speed_radps.axis_1.signal = 'eng_runtime_sec'; engine.idle_target_speed_radps.axis_1.breakpoints = [ 0.0000000000000000 10.000000000000000 ]; engine.idle_target_speed_radps.table = [ 73.303828583761842 73.303828583761842 ]; % Calibration Adjustment Factors engine.variant = 'basic engine';