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547ac30 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 | """Physics-informed GMAW/MIG-MAG robotic welding dataset teacher.
Uses the shared 1–15 axis robot inverse-dynamics routine in robot_physics.rnea_tree
inverse-dynamics simulator. One torch per welding segment; additional arms may
move as fixtures/supports. No weld metallurgical quality/penetration prediction.
Arc electric energy and thermal heat to workpiece are NOT additive. Gas is
volumetric consumption, not electrical energy. Synthetic and uncalibrated.
"""
from __future__ import annotations
import math
from dataclasses import dataclass
import numpy as np
from robot_physics import rnea_tree, quintic_trajectory, _rot, robot_configuration
PRIVATE_SOURCE_FIELDS = ('private_source_efficiency','private_wire_drive_scale','private_cooling_scale',
'private_fume_scale','private_valve_scale')
DENSITY_G_MM3 = {'carbon_steel':.00785,'stainless':.0079,'aluminum':.00270}
WIRE_CHOICES = {'carbon_steel':('ER70S-6',.00785), 'stainless':('ER308LSi',.00790), 'aluminum':('ER4043',.00270)}
def machine_source(rng, ood=False):
return {'source_nominal_efficiency':.86,'source_nameplate_W':15000.,
'wire_feeder_nominal_W':55.,'cooling_nominal_W':210.,
'fume_extraction_nominal_W':260.,'gas_valve_nominal_W':9.,
'source_standby_nominal_W':68.,
'private_source_efficiency':float(rng.uniform(.71,.78) if ood else rng.uniform(.80,.92)),
'private_wire_drive_scale':float(rng.uniform(1.25,1.55) if ood else rng.uniform(.78,1.24)),
'private_cooling_scale':float(rng.uniform(1.18,1.48) if ood else rng.uniform(.75,1.20)),
'private_fume_scale':float(rng.uniform(1.18,1.48) if ood else rng.uniform(.75,1.21)),
'private_valve_scale':float(rng.uniform(.85,1.2))}
def public_source(source):
return {k:v for k,v in source.items() if k not in PRIVATE_SOURCE_FIELDS}
def fk_positions(cfg, q):
"""Return link pivot and link orientation, in world coordinates."""
n=cfg['n']; rotations=[None]*n; pivots=[None]*n
for i in range(n):
p=cfg['parents'][i]
R0=np.eye(3) if p<0 else rotations[p]
base=np.zeros(3) if p<0 else pivots[p]
pivots[i]=base+R0@np.asarray(cfg['offsets'][i],float)
rotations[i]=R0@_rot(np.asarray(cfg['axes'][i],float),float(q[i]))
return rotations,pivots
def torch_tips(cfg):
pa=set(x for x in cfg['parents'] if x>=0)
return [i for i in range(cfg['n']) if i not in pa]
def torch_trajectory(cfg, q_sequence, tip_idx):
positions=[]
for q in q_sequence:
rotations,pivots=fk_positions(cfg,q)
# tool center point is distal from last link, approximated from COM
distal=2.*np.asarray(cfg['coms'][tip_idx],float)+np.array([.07,0,.025])
positions.append(pivots[tip_idx]+rotations[tip_idx]@distal)
return np.asarray(positions)
def duration_for_joint_motion(cfg, q0, q1, speed=0.8):
d=float(np.max(np.abs(np.asarray(q1)-np.asarray(q0))))
return max(.25,1.875*d/max(cfg['qmax']*speed,1e-5), math.sqrt(5.78*d/max(cfg['amax']*speed,1e-5)))
def timed_robot_motion(cfg, q0, q1, T, payload_kg=1.2, steps=20):
"""Use the shared joint-tree inverse-dynamics and drive-loss equations for the requested duration.
Returns Wh split into robotic joint drive and shared controller; includes no
seam process electric power. Joints are assumed position-controlled along
smooth quintic interpolation. 20 samples resolve smooth joint dynamics, not
high-frequency welding arc fluctuations.
"""
assert T>0
q0=np.asarray(q0,float);q1=np.asarray(q1,float);n=cfg['n']
q,dq,ddq=quintic_trajectory(q0,q1,T,steps)
pa=np.asarray(cfg['parents'],np.int64)
offsets=np.asarray(cfg['offsets'],float);axes=np.asarray(cfg['axes'],float)
coms=np.asarray(cfg['coms'],float);mass=np.asarray(cfg['mass'],float).copy()
inertia=np.asarray(cfg['inertia'],float).copy()
ends=torch_tips(cfg)
for i in ends:
mass[i]+=payload_kg/len(ends)
inertia[i]+=payload_kg*.012/len(ends)
tau=np.array([rnea_tree(pa,offsets,axes,coms,mass,inertia,q[k],dq[k],ddq[k])
for k in range(steps)])
fric=(.12+.015*mass[None,:])*np.tanh(dq*18.)+.08*dq
actual=tau+fric*cfg['private_friction_scale']
mechanical=actual*dq
efficiency=float(np.clip(cfg['motor_nominal_eff']*cfg['private_motor_efficiency'],.6,.98))
copper=.020*actual**2*cfg['private_driver_loss']
idle=(2.+.35*mass[None,:])*cfg['private_driver_loss']
regen=cfg['regen_capability']*cfg['private_regen_scale']
electric=np.maximum(mechanical,0)/efficiency+np.minimum(mechanical,0)*regen+copper+idle
bus=np.maximum(electric.sum(axis=1),0)
dt=T/(steps-1)
joints_Wh=float(np.trapezoid(bus,dx=dt)/3600)
controller_W=cfg['electronic_power_W']+16*n
controller_Wh=float(controller_W*T/3600)
# Nameplate-only references; does not use hidden motor factors.
nom=tau+fric; nom_mech=nom*dq
nom_el=np.maximum(nom_mech,0)/cfg['motor_nominal_eff']+np.minimum(nom_mech,0)*cfg['regen_capability']+.020*nom**2+2.+.35*mass[None,:]
nom_joints=float(np.trapezoid(np.maximum(nom_el.sum(axis=1),0),dx=dt)/3600)
return {'robot_joint_drives_Wh':joints_Wh,'robot_controller_Wh':controller_Wh,
'nominal_robot_joint_drives_Wh':nom_joints,
'nominal_robot_controller_Wh':controller_Wh,
'mechanical_positive_J':float(np.trapezoid(np.maximum(mechanical,0).sum(axis=1),dx=dt)),
'mechanical_regen_J':float(np.trapezoid(np.maximum(-mechanical,0).sum(axis=1),dx=dt))}
def welding_setting(rng, material, thickness_mm):
# Paired parameter regimes, not an OEM WPS. Steel/SS/aluminum have separate
# consumable density and approximate application bands.
dia=float(rng.choice([.8,1.0,1.2,1.6],p=[.16,.36,.37,.11]))
mode='short_circuit' if dia<=1.0 and thickness_mm<=5 else rng.choice(['short_circuit','spray'],p=[.25,.75])
feed=float(rng.uniform(3.5,9.5)) # m/min
amps=float(np.clip(32.+18.*feed*(dia**1.85)+(15. if mode=='spray' else 0.),75.,315.))
volts=float(np.clip(16.+.040*amps+rng.normal(0,.7)+(1.0 if mode=='spray' else 0.),18.,33.))
gas_mix='argon_co2' if material!='aluminum' else 'argon'
flow=float(rng.uniform(11.,15.) if material=='aluminum' else rng.uniform(10.,16.))
travel=float(rng.uniform(4.2,12.5)) # mm/sec
thermal_eff=float(rng.uniform(.76,.84)) # 0.8 typical GMAW/TWI
trans_eff=float(rng.uniform(.91,.98))
return {'wire_diameter_mm':dia,'wire_feed_m_min':feed,'current_A':amps,'voltage_V':volts,
'travel_speed_mm_s':travel,'gas_flow_L_min':flow,'gas_type':gas_mix,
'arc_thermal_efficiency':thermal_eff,'transfer_efficiency':trans_eff,
'transfer_mode':mode}
def historical_power_probes(cfg,source,rng):
"""Measurements from six BEFORE-target test loads. No target program observation.
Watt probes include welding source loads and robot nameplate-like idle survey.
Pair current with source observed grid W, allowing MCE to identify losses.
"""
result=[]
for amp in (0.,90.,130.,180.,230.,280.):
volts=(0 if amp==0 else 17.5+.037*amp)
src=((amp*volts)/source['private_source_efficiency'] if amp else 0)
cooling=source['cooling_nominal_W']*source['private_cooling_scale']
standby=source['source_standby_nominal_W']
feeder=(source['wire_feeder_nominal_W']*.7*source['private_wire_drive_scale'] if amp else 0)
p=src+cooling+standby+feeder
result.append(float(max(0,p*(1+rng.normal(0,.005)))))
return result
def _power_for_source(source,setting):
weld_W=setting['voltage_V']*setting['current_A']/source['private_source_efficiency']
feeder_W=source['wire_feeder_nominal_W']*source['private_wire_drive_scale']*(.5+setting['wire_feed_m_min']/11.)
return weld_W,feeder_W
def simulate_weld(cfg, source, program, steps=12, trace=False):
"""One robotic GMAW job, multiple seams. Segments own their arc state.
`program`: {setting:..., segments:[{q0,q1,kind,tip_index,payload_kg,...}],
material, shielding_preflow_s, shielding_postflow_s, gap_s}
"""
setting=program['setting']; material=program['material']; rho=DENSITY_G_MM3[material]
components={key:0. for key in ('robot_joint_drives_Wh','robot_controller_Wh',
'welding_source_Wh','wire_feeder_Wh','cooling_Wh','fume_extraction_Wh',
'gas_valve_Wh','source_standby_Wh')}
nominal_energy=0.; total_s=0.;arc_s=0.;torch_length_mm=0.
wire_consumed_g=0.;wire_deposited_g=0.;wire_spatter_g=0.;arc_heat_kJ=0.
gas_open_s=0.;gas_consumed_L=0.;mech_pos_J=0.;mech_regen_J=0.
weld_source_W,wire_W=_power_for_source(source,setting)
coolant_W=source['cooling_nominal_W']*source['private_cooling_scale']
fume_W=source['fume_extraction_nominal_W']*source['private_fume_scale']
valve_W=source['gas_valve_nominal_W']*source['private_valve_scale']
standby_W=source['source_standby_nominal_W']
wire_area_mm2=math.pi*setting['wire_diameter_mm']**2/4.
segment_rows=[]
for si,seg in enumerate(program['segments']):
q0=np.asarray(seg['q0'],float);q1=np.asarray(seg['q1'],float)
qtraj,_,_=quintic_trajectory(q0,q1,1,steps)
tip=int(seg['tip_index'])
path=0.;
if seg['kind']=='arc':
tipxyz=torch_trajectory(cfg,qtraj,tip)
path=float(np.sum(np.linalg.norm(np.diff(tipxyz,axis=0),axis=1))*1000)
if path<8:raise ValueError('weld segment path too short (<8 mm)')
# Torch feed speed is physical tip path length / arc-on time.
T=path/setting['travel_speed_mm_s']
else:
T=duration_for_joint_motion(cfg,q0,q1,seg.get('speed_factor',.72))
robot=timed_robot_motion(cfg,q0,q1,T,seg.get('payload_kg',1.2),steps)
for key in ('robot_joint_drives_Wh','robot_controller_Wh'):components[key]+=robot[key]
nominal_energy+=robot['nominal_robot_joint_drives_Wh']+robot['nominal_robot_controller_Wh']
mech_pos_J+=robot['mechanical_positive_J'];mech_regen_J+=robot['mechanical_regen_J']
total_s+=T
# Standby source on in all robot phases; active arc draws *additional* main circuit power.
components['source_standby_Wh']+=standby_W*T/3600
components['cooling_Wh']+=coolant_W*T/3600
components['fume_extraction_Wh']+=fume_W*T/3600
nominal_energy+=(standby_W+source['cooling_nominal_W']+source['fume_extraction_nominal_W'])*T/3600
if seg['kind']=='arc':
arc_s+=T; torch_length_mm+=path
components['welding_source_Wh']+=weld_source_W*T/3600
components['wire_feeder_Wh']+=wire_W*T/3600
nominal_energy+=(setting['voltage_V']*setting['current_A']/source['source_nominal_efficiency']+source['wire_feeder_nominal_W']*(.5+setting['wire_feed_m_min']/11.))*T/3600
feed_wire_mm=setting['wire_feed_m_min']*1000*T/60
consumed=wire_area_mm2*feed_wire_mm*rho
wire_consumed_g+=consumed
wire_deposited_g+=consumed*setting['transfer_efficiency']
wire_spatter_g+=consumed*(1-setting['transfer_efficiency'])
arc_heat_kJ+=setting['arc_thermal_efficiency']*setting['voltage_V']*setting['current_A']*T/1000
segment_rows.append({'segment_index':si,'kind':seg['kind'],'duration_s':T,'torch_path_mm':path,
'robot_energy_Wh':robot['robot_joint_drives_Wh']+robot['robot_controller_Wh']})
# Shielding flows during each arc; pre/post once for entire job; gas valve electrical draw.
pre=float(program['shielding_preflow_s']);post=float(program['shielding_postflow_s'])
gas_open_s=arc_s+pre+post
gas_consumed_L=gas_open_s*setting['gas_flow_L_min']/60
# Pre/post-flows: no robot moves; controller, source standby, cooling and extraction remain on.
idle_T=pre+post
hold_joint_W=sum((2+.35*float(m))*cfg['private_driver_loss'] for m in cfg['mass'])
hold_ctrl=cfg['electronic_power_W']+16*cfg['n']
components['robot_joint_drives_Wh']+=hold_joint_W*idle_T/3600
components['robot_controller_Wh']+=hold_ctrl*idle_T/3600
components['source_standby_Wh']+=standby_W*idle_T/3600
components['cooling_Wh']+=coolant_W*idle_T/3600
components['fume_extraction_Wh']+=fume_W*idle_T/3600
components['gas_valve_Wh']+=valve_W*gas_open_s/3600
nominal_energy+=(hold_ctrl+sum((2+.35*float(m)) for m in cfg['mass'])+standby_W+source['cooling_nominal_W']+source['fume_extraction_nominal_W'])*idle_T/3600
nominal_energy+=source['gas_valve_nominal_W']*gas_open_s/3600
total_s+=idle_T
# Cooling tail after arc extinguishes, independently sampled and surfaced as an input.
cool_tail=float(program['cooling_tail_s']);total_s+=cool_tail
components['cooling_Wh']+=coolant_W*cool_tail/3600
components['fume_extraction_Wh']+=fume_W*cool_tail/3600
components['robot_controller_Wh']+=(cfg['electronic_power_W']+16*cfg['n'])*cool_tail/3600
components['source_standby_Wh']+=standby_W*cool_tail/3600
nominal_energy+=(source['cooling_nominal_W']+source['fume_extraction_nominal_W']+cfg['electronic_power_W']+16*cfg['n']+standby_W)*cool_tail/3600
total_energy=float(sum(components.values()))
result={'time_s':float(total_s),'energy_Wh':total_energy,'nominal_energy_Wh':float(nominal_energy),
'arc_on_s':float(arc_s),'arc_length_mm':float(torch_length_mm),'gas_on_s':float(gas_open_s),
'gas_consumed_L':float(gas_consumed_L),'wire_consumed_g':float(wire_consumed_g),
'wire_deposited_g':float(wire_deposited_g),'spatter_g':float(wire_spatter_g),
'arc_energy_kJ':float(setting['current_A']*setting['voltage_V']*arc_s/1000),
'heat_to_workpiece_kJ':float(arc_heat_kJ),'heat_input_kJ_mm':float(arc_heat_kJ/max(torch_length_mm,1e-9)),
'material_removed_g':0.,'material_added_g':float(wire_deposited_g),
'positive_mechanical_J':mech_pos_J,'regenerative_mechanical_J':mech_regen_J,
'energy_components_Wh':components,
'segment_summary':segment_rows}
return result
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