// Module: 10520c.c // Author: Phil Schubert // Date started: 12/03/99 // Purpose: Models a Continental IO-520-M Engine // Called by: FGSimExec // // Copyright (C) 1999 Philip L. Schubert (philip@zedley.com) // // This program is free software; you can redistribute it and/or // modify it under the terms of the GNU General Public License as // published by the Free Software Foundation; either version 2 of the // License, or (at your option) any later version. // // This program is distributed in the hope that it will be useful, but // WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU // General Public License for more details. // // You should have received a copy of the GNU General Public License // along with this program; if not, write to the Free Software // Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA // 02111-1307, USA. // // Further information about the GNU General Public License can also // be found on the world wide web at http://www.gnu.org. // // FUNCTIONAL DESCRIPTION // ------------------------------------------------------------------------ // Models a Continental IO-520-M engine. This engine is used in Cessna // 210, 310, Beechcraft Bonaza and Baron C55. The equations used below // were determined by a first and second order curve fits using Excel. // The data is from the Cessna Aircraft Corporations Engine and Flight // Computer for C310. Part Number D3500-13 // // ARGUMENTS // ------------------------------------------------------------------------ // // // HISTORY // ------------------------------------------------------------------------ // 12/03/99 PLS Created // 07/03/99 PLS Added Calculation of Density, and Prop_Torque // 07/03/99 PLS Restructered Variables to allow easier implementation // of Classes // 15/03/99 PLS Added Oil Pressure // 19/8/2000 PLS Updated E-mail address - This version compiles // 19/8/2000 PLS Set Max Prop blade angle to prevent prop exeeding 90 // ------------------------------------------------------------------------ // INCLUDES // ------------------------------------------------------------------------ #include // #include #include // #include "10520c.h" // ------------------------------------------------------------------------ // CODE // ------------------------------------------------------------------------ // prototype definitions // These should be in a header file 10520c.h float Density (float x); void ShowRho (float x); float IAS_to_FPS (float x); void ShowFPS(float x); float Get_Throttle (float x); void Show_Throttle (float x); float Manifold_Pressure (float x, float z); void Show_Manifold_Pressure (float x); float CHT (float Fuel_Flow, float Mixture, float IAS); void Show_CHT (float x); float Oil_Temp (float x, float y); void Show_Oil_Temp (float x); float Oil_Press (float Oil_Temp, float Engine_RPM); void Show_Oil_Press (float x); int main() { // Declare local variables int num = 0; // Not used. Counting variables int num2 = 100; // Not used. float ManXRPM = 0; float Vo = 0; float V1 = 0; // Set up the new variables float Blade_Station = 30; float Rho = 0.002378; float FGProp_Area = 1.405/3; float PI = 3.1428571; // Input Variables float IAS = 0; cout << "Enter IAS "; // cin >> IAS; IAS = 85; cout << endl; // 0 = Closed, 100 = Fully Open float FGEng1_Throttle_Lever_Pos = 75; // 0 = Full Course 100 = Full Fine float FGEng1_Propeller_Lever_Pos = 75; // 0 = Idle Cut Off 100 = Full Rich float FGEng1_Mixture_Lever_Pos = 100; // Environmental Variables // Temp Variation from ISA (Deg F) float FG_ISA_VAR = 0; // Pressure Altitude 1000's of Feet float FG_Pressure_Ht = 0; // Parameters that alter the operation of the engine. // Yes = 1. Is there Fuel Available. Calculated elsewhere int FGEng1_Fuel_Available = 1; // Off = 0. Reduces power by 3 % for same throttle setting int FGEng1_Alternate_Air_Pos =0; // 1 = On. Reduces power by 5 % for same power lever settings int FGEng1_Magneto_Left = 1; // 1 = On. Ditto, Both of the above though do not alter fuel flow int FGEng1_Magneto_Right = 1; // There needs to be a section in here to trap silly values, like // 0, otherwise they will crash the calculations // Engine Specific Variables used by this program that have limits. // Will be set in a parameter file to be read in to create // and instance for each engine. float FGEng_Max_Manifold_Pressure = 29.50; float FGEng_Max_RPM = 2700; float FGEng_Min_RPM = 1000; float FGEng_Max_Fuel_Flow = 130; float FGEng_Mag_Derate_Percent = 5; float FGEng_MaxHP = 285; float FGEng_Gear_Ratio = 1; // Initialise Engine Variables used by this instance float FGEng1_Percentage_Power = 0; float FGEng1_Manifold_Pressure = 29.00; // Inches float FGEng1_RPM = 500; float FGEng1_Fuel_Flow = 0; // lbs/hour float FGEng1_Torque = 0; float FGEng1_CHT = 370; float FGEng1_Mixture = 14; float FGEng1_Oil_Pressure = 0; // PSI float FGEng1_Oil_Temp = 85; // Deg C float FGEng1_HP = 0; float FGEng1_RPS = 0; float Torque_Imbalance = 0; float FGEng1_Desired_RPM = 0; // Initialise Propellor Variables used by this instance float FGProp1_Angular_V = 0; float FGProp1_Coef_Drag = 0.6; float FGProp1_Torque = 0; float FGProp1_Thrust = 0; float FGProp1_RPS = 0; float FGProp1_Coef_Lift = 0.1; float Alpha1 = 13.5; float FGProp1_Blade_Angle = 13.5; float FGProp_Fine_Pitch_Stop = 13.5; float FGProp_Course_Pitch_Stop = 55; // cout << "Enter Blade Angle "; // cin >> FGProp1_Blade_Angle; // cout << endl; cout << " Number of Iterations "; // cin >> num2; num2 = 100; cout << endl; cout << " Throttle % "; // cin >> FGEng1_Throttle_Lever_Pos; FGEng1_Throttle_Lever_Pos = 50; cout << endl; cout << " Prop % "; // cin >> FGEng1_Propeller_Lever_Pos; FGEng1_Propeller_Lever_Pos = 100; cout << endl; //================================================================== // Engine & Environmental Inputs from elsewhere // Calculate Air Density (Rho) - In FG this is calculated in // FG_Atomoshere.cxx Rho = Density(FG_Pressure_Ht); // In FG FG_Pressure_Ht is "h" ShowRho(Rho); // Calculate Manifold Pressure (Engine 1) as set by throttle opening FGEng1_Manifold_Pressure = Manifold_Pressure(FGEng1_Throttle_Lever_Pos, FGEng1_Manifold_Pressure ); Show_Manifold_Pressure(FGEng1_Manifold_Pressure); // Calculate Desired RPM as set by Prop Lever Position. // Actual engine RPM may be different // The governed max RPM at 100% Prop Lever Position = FGEng_MaxRPM // The governed minimum RPM at 0% Prop Lever Position = FGEng_Min_RPM // The actual minimum RPM of the engine can be < FGEng_Min_RPM if there is insufficient // engine torque to counter act the propeller torque at FGProp_Fine_Pitch_Stop FGEng1_RPM = (FGEng1_Propeller_Lever_Pos * (FGEng_Max_RPM - FGEng_Min_RPM) /100) + FGEng_Min_RPM ; // * ((FGEng_Max_RPM + FGEng_Min_RPM) / 100); if (FGEng1_RPM >= 2700) { FGEng1_RPM = 2700; } FGEng1_Desired_RPM = FGEng1_RPM; cout << "Desired RPM = " << FGEng1_Desired_RPM << endl; //================================================================== // Engine Power & Torque Calculations // Loop until stable - required for testing only for (num = 1; num < num2; num++) { cout << endl << "====================" << endl; cout << "MP Inches = " << FGEng1_Manifold_Pressure << "\t"; cout << FGEng1_RPM << " RPM" << "\t"; // For a givem Manifold Pressure and RPM calculate the % Power // Multiply Manifold Pressure by RPM ManXRPM = FGEng1_Manifold_Pressure * FGEng1_RPM; cout << ManXRPM << endl; // Calculate % Power FGEng1_Percentage_Power = (+ 7E-09 * ManXRPM * ManXRPM) + ( + 7E-04 * ManXRPM) - 0.1218; cout << "percent power = " << FGEng1_Percentage_Power << "%" << "\t"; // Adjust for Temperature - Temperature above Standard decrease // power % by 7/120 per degree F increase, and incease power for // temps below at the same ratio FGEng1_Percentage_Power = FGEng1_Percentage_Power - (FG_ISA_VAR * 7 /120); cout << " adjusted T = " << FGEng1_Percentage_Power << "%" << "\t"; // Adjust for Altitude. In this version a linear variation is // used. Decrease 1% for each 1000' increase in Altitde FGEng1_Percentage_Power = FGEng1_Percentage_Power + (FG_Pressure_Ht * 12/10000); cout << " adjusted A = " << FGEng1_Percentage_Power << "%" << "\t"; // Now Calculate Fuel Flow based on % Power Best Power Mixture FGEng1_Fuel_Flow = FGEng1_Percentage_Power * FGEng_Max_Fuel_Flow / 100; // cout << FGEng1_Fuel_Flow << " lbs/hr"<< endl; // Now Derate engine for the effects of Bad/Switched off magnetos if (FGEng1_Magneto_Left == 0 && FGEng1_Magneto_Right == 0) { // cout << "Both OFF\n"; FGEng1_Percentage_Power = 0; } else if (FGEng1_Magneto_Left && FGEng1_Magneto_Right) { // cout << "Both On "; } else if (FGEng1_Magneto_Left == 0 || FGEng1_Magneto_Right== 0) { // cout << "1 Magneto Failed "; FGEng1_Percentage_Power = FGEng1_Percentage_Power * ((100 - FGEng_Mag_Derate_Percent)/100); // cout << FGEng1_Percentage_Power << "%" << "\t"; } // Calculate Engine Horsepower FGEng1_HP = FGEng1_Percentage_Power * FGEng_MaxHP/100; // Calculate Engine Torque FGEng1_Torque = FGEng1_HP * 5252 / FGEng1_RPM; cout << FGEng1_Torque << "Ft/lbs" << "\t"; // Calculate Cylinder Head Temperature FGEng1_CHT = CHT (FGEng1_Fuel_Flow, FGEng1_Mixture, IAS); // Show_CHT (FGEng1_CHT); // Calculate Oil Pressure FGEng1_Oil_Pressure = Oil_Press (FGEng1_Oil_Temp, FGEng1_RPM); // Show_Oil_Press(FGEng1_Oil_Pressure); //============================================================== // Now do the Propellor Calculations // Revs per second FGProp1_RPS = FGEng1_RPM * FGEng_Gear_Ratio/60; // cout << FGProp1_RPS << " RPS" << endl; //Radial Flow Vector (V2) Ft/sec at Ref Blade Station (usually 30") FGProp1_Angular_V = FGProp1_RPS * 2 * PI * (Blade_Station / 12); cout << "Angular Velocity " << FGProp1_Angular_V << endl; // Axial Flow Vector (Vo) Ft/sec // Some further work required here to allow for inflow at low speeds // Vo = (IAS + 20) * 1.688888; Vo = IAS_to_FPS(IAS + 20); // ShowFPS ( Vo ); // cout << Vo << "Axial Velocity" << endl; // Relative Velocity (V1) V1 = sqrt((FGProp1_Angular_V * FGProp1_Angular_V) + (Vo * Vo)); cout << "Relative Velocity " << V1 << endl; if ( FGProp1_Blade_Angle >= FGProp_Course_Pitch_Stop ) { FGProp1_Blade_Angle = FGProp_Course_Pitch_Stop; } cout << FGProp1_Blade_Angle << " Prop Blade Angle" << endl; // Blade Angle of Attack (Alpha1) Alpha1 = FGProp1_Blade_Angle -(atan(Vo / FGProp1_Angular_V) * (180/PI)); // cout << Alpha1 << " Alpha1" << endl; cout << " Alpha1 = " << Alpha1 << " Blade angle = " << FGProp1_Blade_Angle << " Vo = " << Vo << " FGProp1_Angular_V = " << FGProp1_Angular_V << endl; // Calculate Coefficient of Drag at Alpha1 FGProp1_Coef_Drag = (0.0005 * (Alpha1 * Alpha1)) + (0.0003 * Alpha1) + 0.0094; // cout << FGProp1_Coef_Drag << " Coef Drag" << endl; // Calculate Coefficient of Lift at Alpha1 FGProp1_Coef_Lift = -(0.0026 * (Alpha1 * Alpha1)) + (0.1027 * Alpha1) + 0.2295; // cout << FGProp1_Coef_Lift << " Coef Lift " << endl; // Covert Alplha1 to Radians // Alpha1 = Alpha1 * PI / 180; // Calculate Prop Torque FGProp1_Torque = (0.5 * Rho * (V1 * V1) * FGProp_Area * ((FGProp1_Coef_Lift * sin(Alpha1 * PI / 180)) + (FGProp1_Coef_Drag * cos(Alpha1 * PI / 180)))) * (Blade_Station/12); cout << "Prop Torque = " << FGProp1_Torque << endl; // Calculate Prop Thrust FGProp1_Thrust = 0.5 * Rho * (V1 * V1) * FGProp_Area * ((FGProp1_Coef_Lift * cos(Alpha1 * PI / 180)) - (FGProp1_Coef_Drag * sin(Alpha1 * PI / 180))); cout << " Prop Thrust = " << FGProp1_Thrust << endl; // End of Propeller Calculations //============================================================== Torque_Imbalance = FGProp1_Torque - FGEng1_Torque; // cout << Torque_Imbalance << endl; if (Torque_Imbalance > 20) { FGEng1_RPM -= 14.5; // FGProp1_RPM -= 25; FGProp1_Blade_Angle -= 0.75; } if (FGProp1_Blade_Angle < FGProp_Fine_Pitch_Stop) { FGProp1_Blade_Angle = FGProp_Fine_Pitch_Stop; } if (Torque_Imbalance < -20) { FGEng1_RPM += 14.5; // FGProp1_RPM += 25; FGProp1_Blade_Angle += 0.75; } if (FGEng1_RPM >= 2700) { FGEng1_RPM = 2700; } // cout << FGEng1_RPM << " Blade_Angle " << FGProp1_Blade_Angle << endl << endl; } return (0); } // Functions // Calculate Air Density - Rho float Density ( float x ) { float y ; y = ((9E-08 * x * x) - (7E-08 * x) + 0.0024); return(y); } // Show Air Density Calculations void ShowRho (float x) { cout << "Rho = "; cout << x << endl; } // Calculate Speed in FPS given Knots CAS float IAS_to_FPS (float x) { float y; y = x * 1.68888888; return (y); } // Show Feet per Second void ShowFPS (float x) { cout << "Feet/sec = "; cout << x << endl; } // Calculate Manifold Pressure based on Throttle lever Position float Manifold_Pressure ( float x, float z) { float y; // if ( x < = 0 ) // { // x = 0.00001; // } y = x * z / 100; return (y); } // Show Manifold Pressure void Show_Manifold_Pressure (float x) { cout << "Manifold Pressure = "; cout << x << endl; } // Calculate Oil Temperature float Oil_Temp (float Fuel_Flow, float Mixture, float IAS) { float Oil_Temp = 85; return (Oil_Temp); } // Show Oil Temperature void Show_Oil_Temp (float x) { cout << "Oil Temperature (F) = "; cout << x << endl; } // Calculate Oil Pressure float Oil_Press (float Oil_Temp, float Engine_RPM) { float Oil_Pressure = 0; //PSI float Oil_Press_Relief_Valve = 60; //PSI float Oil_Press_RPM_Max = 1800; float Design_Oil_Temp = 85; //Celsius float Oil_Viscosity_Index = 0.25; // PSI/Deg C float Temp_Deviation = 0; // Deg C Oil_Pressure = (Oil_Press_Relief_Valve / Oil_Press_RPM_Max) * Engine_RPM; // Pressure relief valve opens at Oil_Press_Relief_Valve PSI setting if (Oil_Pressure >= Oil_Press_Relief_Valve) { Oil_Pressure = Oil_Press_Relief_Valve; } // Now adjust pressure according to Temp which affects the viscosity Oil_Pressure += (Design_Oil_Temp - Oil_Temp) * Oil_Viscosity_Index; return (Oil_Pressure); } // Show Oil Pressure void Show_Oil_Press (float x) { cout << "Oil Pressure (PSI) = "; cout << x << endl; } // Calculate Cylinder Head Temperature float CHT (float Fuel_Flow, float Mixture, float IAS) { float CHT = 350; return (CHT); } // Show Cyl Head Temperature void Show_CHT (float x) { cout << "CHT (F) = "; cout << x << endl; }