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December 10, 2011 David Giandomenico - FIRST #846 DC Permanent Magnet Motors A tutorial winch design David Giandomenico Lynbrook High School Robotics FIRST Team #846 DGiandomenico@lynbrookrobotics.com (408)343-1183
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2010 Breakaway December 10, 2011 David Giandomenico - FIRST #846
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December 10, 2011 David Giandomenico - FIRST #846 2004 FIRST Frenzy: Raising the Bar
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December 10, 2011 David Giandomenico - FIRST #846 What We Want. Weight: Distance: Time (speed): 130 lbs 1.5 feet 5 seconds
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December 10, 2011 David Giandomenico - FIRST #846 What We’ve Got: Some of the Motors supplied in FIRST Robotics Kit
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December 10, 2011 David Giandomenico - FIRST #846 “CIM” Motor Specification
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December 10, 2011 David Giandomenico - FIRST #846 “CIM” Motor Performance
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December 10, 2011 David Giandomenico - FIRST #846 “CIM” Motor Performance Stall Torque Stall Torque No Load Current No Load Current No Load Speed Stall Current Stall Current
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December 10, 2011 David Giandomenico - FIRST #846 FUSE Limits on Motor Power Stall Current Stall Current 40 A Fuse Limit ~100 Oz-In
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December 10, 2011 David Giandomenico - FIRST #846 Kit Motors – Which One? Make / Model Max Power (Watts) Stall Torque (oz-in) Free Speed (RPM) Free Current (A) Stall Current (A) BaneBots RS395 48.116.7 15,5000.515 BaneBots RS540 123.539.5 16,800142 BaneBots RS550 253.570.6 19,3001.485 BaneBots RS775 83.161.1 7,3001.130 CIM FR801-001 340.1344.0 5,3102.7133 Denso 262100-3030-(Right) 23.51501.1 841.818.6 Denso 262100-3040-(Left) 23.51501.1 841.821 Fisher-Price 00801-0673-(2011) 291.675.4 20,7700.82108.7 Fisher-Price 00968-9015-(2010) 185.063.7 15,6001.2570 All Data at 12VDC
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December 10, 2011 David Giandomenico - FIRST #846 Motors - Sorted by Power Make / Model Max Power (Watts) Stall Torque (oz-in) Free Speed (RPM) Free Current (A) Stall Current (A) CIM FR801-001 340.1344.0 5,3102.7133 Fisher-Price 00801-0673-(2011) 291.675.4 20,7700.82108.7 BaneBots RS550 253.570.6 19,3001.485 Fisher-Price 00968-9015-(2010) 185.063.7 15,6001.2570 BaneBots RS540 123.539.5 16,800142 BaneBots RS775 83.161.1 7,3001.130 BaneBots RS395 48.116.7 15,5000.515 Denso 262100-3030-(Right) 23.51501.1 841.818.6 Denso 262100-3040-(Left) 23.51501.1 841.821
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December 10, 2011 David Giandomenico - FIRST #846 Choosing a motor based on Maximum Output Power 1.Calculate Energy required to lift load. 2.Given the Time & Energy, calculate the mechanical Power required. 3.Boost Power requirement to adjust for Friction in the gearbox and elsewhere. 4.Choose a motor whose Maximum Output Power is at least 4/3 * (safety margin)
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December 10, 2011 David Giandomenico - FIRST #846
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December 10, 2011 David Giandomenico - FIRST #846 Motor Selection Make / Model Max Power (Watts) Stall Torque (oz-in) Free Speed (RPM) Free Current (A) Stall Current (A) CIM FR801-001 340.1344.0 5,3102.7133 Fisher-Price 00801-0673-(2011) 291.675.4 20,7700.82108.7 BaneBots RS550 253.570.6 19,3001.485 Fisher-Price 00968-9015-(2010) 185.063.7 15,6001.2570 BaneBots RS540 123.539.5 16,800142 BaneBots RS775 83.161.1 7,3001.130 BaneBots RS395 48.116.7 15,5000.515 Denso 262100-3030-(Right) 23.51501.1 841.818.6 Denso 262100-3040-(Left) 23.51501.1 841.821 Make / Model Max Power (Watts) Stall Torque (oz-in) Free Speed (RPM) Free Current (A) Stall Current (A) CIM FR801-001 340.1344.0 5,3102.7133 Fisher-Price 00801-0673-(2011) 291.675.4 20,7700.82108.7 BaneBots RS550 253.570.6 19,3001.485 Fisher-Price 00968-9015-(2010) 185.063.7 15,6001.2570 BaneBots RS540 123.539.5 16,800142 BaneBots RS775 83.161.1 7,3001.130 BaneBots RS395 48.116.7 15,5000.515 Denso 262100-3030-(Right) 23.51501.1 841.818.6 Denso 262100-3040-(Left) 23.51501.1 841.821 Make / Model Max Power (Watts) Stall Torque (oz-in) Free Speed (RPM) Free Current (A) Stall Current (A) CIM FR801-001 340.1344.0 5,3102.7133 Fisher-Price 00801-0673-(2011) 291.675.4 20,7700.82108.7 BaneBots RS550 253.570.6 19,3001.485 Fisher-Price 00968-9015-(2010) 185.063.7 15,6001.2570 BaneBots RS540 123.539.5 16,800142 BaneBots RS775 83.161.1 7,3001.130 BaneBots RS395 48.116.7 15,5000.515 Denso 262100-3030-(Right) 23.51501.1 841.818.6 Denso 262100-3040-(Left) 23.51501.1 841.821
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December 10, 2011 David Giandomenico - FIRST #846 www.johnsonmotor.com
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December 10, 2011 David Giandomenico - FIRST #846 2011 Fisher Price Motor Make / Model Max Power (Watts) Stall Torque (oz-in) Free Speed (RPM) Free Current (A) Stall Current (A) Fisher-Price 00801-0673-(2011) 291.675.4 20,7700.82108.7 All Data at 12VDC Make / Model Max Power (Watts) Stall Torque (N-m) Free Speed (RPM) Free Current (A) Stall Current (A) Fisher-Price 00801-0673-(2011) 291.60.532 20,7700.82108.7 Convert oz-in to N-m: 1 oz-in = 0.007061552 N-m
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December 10, 2011 David Giandomenico - FIRST #846 Fisher Price Motor 2010 From FIRST_MOTOR_CALC.xls V=12VDC
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December 10, 2011 David Giandomenico - FIRST #846 What is Torque? But isn’t that “Work”
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December 10, 2011 David Giandomenico - FIRST #846 Units of Work vs. Torque Work (Energy) Torque pound feet(lbf-ft), ft-lbf, oz-in, N-m … ft-lbf, Joules (=N-m), KWh, …
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December 10, 2011 David Giandomenico - FIRST #846 Work in a Rotating System Force r T
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December 10, 2011 David Giandomenico - FIRST #846 Power, Torque & Speed
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December 10, 2011 David Giandomenico - FIRST #846 From FIRST_MOTOR_CALC.xls V=12VDC (speed,torque) Fisher Price Motor 2011
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December 10, 2011 David Giandomenico - FIRST #846 From FIRST_MOTOR_CALC.xls V=12VDC Fisher Price Motor 2011
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December 10, 2011 David Giandomenico - FIRST #846 From FIRST_MOTOR_CALC.xls V=Rated Voltage
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December 10, 2011 David Giandomenico - FIRST #846 Speed & Torque in a DC PM Motor Let ={0,100%} such that
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December 10, 2011 David Giandomenico - FIRST #846 From FIRST_MOTOR_CALC.xls V=Rated Voltage
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December 10, 2011 David Giandomenico - FIRST #846 Speed & Torque in a DC PM Motor Or, w/o calculus, Max occurs between two roots of quadratic, at =0, =1 that is, =½ or equivalently, when =50% Using calculus, Max Power occurs when:
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December 10, 2011 David Giandomenico - FIRST #846 From FIRST_MOTOR_CALC.xls V=Rated Voltage 75%
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December 10, 2011 David Giandomenico - FIRST #846 Max Power in a DC PM Motor
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December 10, 2011 David Giandomenico - FIRST #846 2011 Fisher Price Motor All Data at 12VDC Make / Model Max Power (Watts) Stall Torque (N-m) Free Speed (RPM) Free Current (A) Stall Current (A) Fisher-Price 00801-0673-(2011) 291.60.532 20,7700.82108.7
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December 10, 2011 David Giandomenico - FIRST #846 Fisher Price Motor 2011 From FIRST_MOTOR_CALC.xls V=12VDC
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December 10, 2011 David Giandomenico - FIRST #846 Fisher Price Motor 2011 From FIRST_MOTOR_CALC.xls V=12VDC Current rises linearly with Torque
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December 10, 2011 David Giandomenico - FIRST #846 Motor Current Where α is the % No Load speed
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December 10, 2011 David Giandomenico - FIRST #846 Electrical Power
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December 10, 2011 David Giandomenico - FIRST #846 Fisher Price Motor 2011 From FIRST_MOTOR_CALC.xls V=12VDC Input power is Current X Voltage
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December 10, 2011 David Giandomenico - FIRST #846 Fisher Price Motor 2010 From FIRST_MOTOR_CALC.xls V=12VDC
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December 10, 2011 David Giandomenico - FIRST #846 Fisher Price Motor 2010 From FIRST_MOTOR_CALC.xls V=12VDC
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December 10, 2011 David Giandomenico - FIRST #846 Fisher Price Motor 2011 From FIRST_MOTOR_CALC.xls V=12VDC
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December 10, 2011 David Giandomenico - FIRST #846 Fisher Price Motor 2011 From FIRST_MOTOR_CALC.xls V=12VDC
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December 10, 2011 David Giandomenico - FIRST #846 DC PM Motor Summary Max Power occurs at 50% No-Load Speed Best efficiency typically occurs at about 80%-93% No-Load Speed Most DC PM Motors will overheat if operated continuously at speeds less than 50% when full voltage is applied.
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December 10, 2011 David Giandomenico - FIRST #846 Gear Loss Estimate Suppose we have n=3 inline sets of gears, each with a 4:1reduction. What is the total efficiency if each gear set loses 4%? T = i n or T = (100%-4%) 3 = 88.5%
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December 10, 2011 David Giandomenico - FIRST #846 When x is small,
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December 10, 2011 David Giandomenico - FIRST #846 Estimate of how many gear sets. Suppose we want a gear reduction of 1200. How many gear sets with a reduction of 3 do we need? Solve 3 N = 1200 N = ln(1200)/ln(3) = 6.45
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December 10, 2011 David Giandomenico - FIRST #846 Gear loss estimate We need 6.45 3:1 gear sets. Assuming a loss of 4% for each gear set, T = i n or T = (1-4%) 6.45 = 76.8%
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December 10, 2011 David Giandomenico - FIRST #846 Putting it all together 1.Choose a winch drum size 2.Calculate the drum rpm 3.Choose the % motor operating speed 4.Calculate the required gear reduction to operate at that speed 5.Verify the output winch line force meets or exceeds the original specification, including gear box losses
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December 10, 2011 David Giandomenico - FIRST #846 Winch Design Specification
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December 10, 2011 David Giandomenico - FIRST #846 Winch Drum Speed
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December 10, 2011 David Giandomenico - FIRST #846 Determine the Gear Reduction Drum speed Revolutions / second0.191 Revolutions / minute (rpm)11.46 Motor spec at 12VDC No load speed20770RPM Stall Torque75.4oz0in Stall Torque (1 Oz-In= 0.007061552 N-m)0.532N-m Max Power Output289.5W Free Current0.82A Stall Current108.7A Operating Point at FUSE current at 20A17.8% at 30A27.0% at 40A36.3% Select Motor Speed and Torque % motor speed90% Motor current11.6A Motor Speed18693rpm Torque0.0532N-m Power out104.2W Required Gear Reduction1631.3
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Required Gear Reduction1631.3 Loss estimate assuming 'n' small gear sets Individual gear set reduction ratio4times % Loss per gear set5% Number of gear reductions5.336sets Total estimated gear efficiency76.06% December 10, 2011 David Giandomenico - FIRST #846 Gear Loss Estimate
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Winch line output at speed Motor torque at speed (above)0.0532N-m Torque after gearbox (no loss)86.86N-m After gear box losses66.06N-m Force on Line866.92N Force on Line (lbs)194.61lbs December 10, 2011 David Giandomenico - FIRST #846 Verify We Meet or Exceed Pull Strength Specification
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December 10, 2011 David Giandomenico - FIRST #846 Feat Accomplished! 194 lb exceeds required spec of 130lbs
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December 10, 2011 David Giandomenico - FIRST #846 More than you wanted to know about Robot Winch Design David Giandomenico Lynbrook High School Robotics FIRST Team #846 DGiandomenico@lynbrookrobotics.com (408)343-1183
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December 10, 2011 David Giandomenico - FIRST #846 Addendum: Interest or Time permitting
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December 10, 2011 David Giandomenico - FIRST #846
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December 10, 2011 David Giandomenico - FIRST #846
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December 10, 2011 David Giandomenico - FIRST #846 Pascal’s Triangle 1 1 2 1 1 3 3 1 1 4 6 4 1 1 1 2 1 1 3 3 1 1 4 6 4 1
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December 10, 2011 David Giandomenico - FIRST #846 Binomial Theorem
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