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Reproduce Example 4.1 in Mi and Masrur: Consider a planetary gear train based transmission with an engine (carrier) providing IOUkW at 2000rpm optimum operating point. The ring gear has 72 teeth and the sun gear has 30 teeth. The final drive ratio is 3.7865, and the wheel radius is 0.283m. (1) For a vehicle speed of 45mph or 20.6m/s, the power demand under heam,f acceleration at this speed is 120kW. Find the speed and power for each component, assuming no losses. {2) For a vehicle speed of 70mph, or 32.7mfs, when cruising, the power demand is 70kW. Calculate the speed and power of each component. For maximum positive motor torque is 332 Nm and maximum negative motor torque is ~17 Nm, what vehicle speed (mph) and power {kW} and corresponding motor and generator speed (RPM), torque (le and power (kW) are required for these scenarios. a. Vehicle and motor stopped, engine charges battery via generator b. Vehicle and engine speed match, generator speed zero, no vehicle power required, delivered power charges battery via motor c. Vehicle power and speed matches engine d. Vehicle and motor stopped, vehicle requires all engine power that can only be consumed by motor because vehicle velocity zero, requires infinite motor torque, can't do it e. Vehicle starting out at low speed and low propulsion power required, max vehicle power is limited by its low speed and maximum motor torque, engine power used mostly to charge battery via generator f. Engine power matches vehicle need, speed high enough so max motor not needed, generator supplies motor power, battery charge unchanged g. Engine power matches vehicle need, speed high enough so motor not needed, generator not used, battery charge unchanged h. Maximum vehicle speed limited by maximum generator speed and small negative motor torque 3. Run these calculations for velocity (mph) and power [kw] calculated in question 2.1 for U506 driving schedule. a. What engine power (kW) is required so battery charge is unchanged during test? b. Chart vehicle traction and net battery power vs. time. What is the difference? Q1:The following are the design parameters of a simple cycle single shaft gas turbine engine. T1 = 288 K, P1 = 101 kPa. Compressor pressure ratio: 18 TET 1500 K Compressor and turbine efficiency: 0.88 LHV 43 MJ/kg Combustor pressure loss (% of CDP) 5 Mass Flow 120 kg/s Include the fuel flow in your mass flow calculations. Calculate the power output and thermal efficiency of the gas turbine engine. Cold (compressor) Cp and y: 1000 J/kg/K and 1.4 respectively Hot (combustor, turbine) Cp and y: 1150 J/kg/K and 1.3 respectively. Fuel CC Compressor Turbine G Power to Compressor Net Powercompressor is 0.8, and the isentropic efficiency of each turbine stage is 0.85, the effectiveness of regenerator is 0.8. Determine the intermediate pressure Ps, the net specific work output of the engine, and the mass flow rate through the engine. Find also the air temperature entering the burner T3 and the thermal efficiency of the engine. Regenerally WWW and the Burner Intake Power Compressor Turbine turbine 1ke = 150 KW 100 kPa Pp = 100 APa Ti- 300 K POP, -6.0 I - 1600 KFor maximum positive motor torque is 332 Nm and maximum negative motor torque is -2.7 Nm, what vehicle speed (mph) and power (kW) and corresponding motor and generator speed (RPM), torque (Nm) and power (KW) are required for these scenarios. a. Vehicle and motor stopped, engine charges battery via generator b. Vehicle and engine speed match, generator speed zero, no vehicle power required, delivered power charges battery via motor c. Vehicle power and speed matches engine d. Vehicle and motor stopped, vehicle requires all engine power that can only be consumed by motor because vehicle velocity zero, requires infinite motor torque, can't do it e. Vehicle starting out at low speed and low propulsion power required, max vehicle power is limited by its low speed and maximum motor torque, engine power used mostly to charge battery via generator f. Engine power matches vehicle need, speed high enough so max motor not needed, generator supplies motor power, battery charge unchanged g. Engine power matches vehicle need, speed high enough so motor not needed, generator not used, battery charge unchanged h. Maximum vehicle speed limited by maximum generator speed and small negative motor torque
