30 HP 2500 RPM FRAME SIZE 288 R = 0.089 R Machine armature resistence in ohms at 25 degree(x1.2 for hot L=0.00144 value at 85 degc K=0.850 Wf= 200 Jm=0.115l) lConsider a 3th: ZSODrpm DC, machine connected to an adjustable DC power supply. the specications oftvhich will be given below. Solve using data from the DC machines datasheet: using the "hot resistance" value for all calculations. Assume that the maximum armature current is determined by the supply limit rather than the rated machine current based on its rated power. Similarly: assume that the maximum applied armature voltage amplitude is determined by the maximum supply output voltage rather than the rated machine voltage. a) Assume the DC supply can output between 400 1' and -100 1-" at between D A and -25 A. Plot the complete boundary envelope (i.e.= capability curve] of the drive system's torquespeed operating capabilities on a set of T - to axes, with torque T on the y-axis [in I\\"m] and speed to on the xaxis [in rad s]. Assume that the field flux is constant at its rated {100%} value. What are the torque. speed: machine shaft power Pmech: and supply voltage U; {which equals the armature voltage IQ] at the four corners of the operating envelope'.' (Hint: Do not be surprised ifP does not equal the rated machine potver (3 th=32.330k11'). (10 points): Jpper left T = Nm (a? = rad 3 PM.\" = k11-'" L; = 1-" Jpper right T = Nm (a? = rad s PM.\" = k11-'" 5 = 1-" Lower left T = Nm m = rad s Pm?\" 2 kW" V; = 1-" Lower right T = Nm m = rad s Pm?\" = kW" V; = 1-" b} Assume the DC supply can notv output between lOD 1-" and -1 DD 17 at between 35 A and -35 A. Plot the complete operating envelope [i.e.= capability curve) of the drive system's torquespeed operating capabilities on a set of T- m axes: assuming that the eld flux is still constant at its rated value. What are the torque: speed: machine shaft power ngch: and supply voltage II; at the four corners of the operating envelope? (10 points}: Jpper left T = Nm (a? = rad 5 PM.\" = k11-'" 5 = 1-" Jpper right T = N-m to = rad s Fried: 1111' U; = 1-" Lower left T = N-m m = rad s Frag\": 1111-" V; = 1-" Lower right T = N-m m = rad s Pm?\" = kW" V; = 1-" c) Replot the operating envelope in part b} with the same supply specifications but notv assuming the field can be weakened. Note the machine constant K is proportional to the eld flux. and the value on the datasheet is for rated {100%} flux. Assume the machine can operate no faster than BSDOrpm in either direction (i.e.. i 3500mm). What is the maximum value of torque that can be achieved at the extremes of -3 SODrpm and 3 SODrpm, and what are the corresponding values of machine output power Pour: machine constant K, and supply voltage l's'?' [10 points) Hint: what is considered output power for motoring vs. generating scenarios? (9 = -35001'pm Positive torque T = Nm K = NmA Pam = 1:11" P; = 1' Negative torque T = Nm K = NmA Pam: 1:11" P; = 1' to = 3~SODrpm