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
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
|
# Printer heater support
#
# Copyright (C) 2016-2018 Kevin O'Connor <kevin@koconnor.net>
#
# This file may be distributed under the terms of the GNU GPLv3 license.
import math, logging, threading
import pins
######################################################################
# Sensors
######################################################################
KELVIN_TO_CELCIUS = -273.15
# Thermistor calibrated with three temp measurements
class Thermistor:
def __init__(self, config, params):
self.pullup = config.getfloat('pullup_resistor', 4700., above=0.)
# Calculate Steinhart-Hart coefficents from temp measurements
inv_t1 = 1. / (params['t1'] - KELVIN_TO_CELCIUS)
inv_t2 = 1. / (params['t2'] - KELVIN_TO_CELCIUS)
inv_t3 = 1. / (params['t3'] - KELVIN_TO_CELCIUS)
ln_r1 = math.log(params['r1'])
ln_r2 = math.log(params['r2'])
ln_r3 = math.log(params['r3'])
ln3_r1, ln3_r2, ln3_r3 = ln_r1**3, ln_r2**3, ln_r3**3
inv_t12, inv_t13 = inv_t1 - inv_t2, inv_t1 - inv_t3
ln_r12, ln_r13 = ln_r1 - ln_r2, ln_r1 - ln_r3
ln3_r12, ln3_r13 = ln3_r1 - ln3_r2, ln3_r1 - ln3_r3
self.c3 = ((inv_t12 - inv_t13 * ln_r12 / ln_r13)
/ (ln3_r12 - ln3_r13 * ln_r12 / ln_r13))
self.c2 = (inv_t12 - self.c3 * ln3_r12) / ln_r12
self.c1 = inv_t1 - self.c2 * ln_r1 - self.c3 * ln3_r1
def calc_temp(self, adc):
adc = max(.00001, min(.99999, adc))
r = self.pullup * adc / (1.0 - adc)
ln_r = math.log(r)
inv_t = self.c1 + self.c2 * ln_r + self.c3 * ln_r**3
return 1.0/inv_t + KELVIN_TO_CELCIUS
def calc_adc(self, temp):
inv_t = 1. / (temp - KELVIN_TO_CELCIUS)
if self.c3:
y = (self.c1 - inv_t) / (2. * self.c3)
x = math.sqrt((self.c2 / (3. * self.c3))**3 + y**2)
ln_r = math.pow(x - y, 1./3.) - math.pow(x + y, 1./3.)
else:
ln_r = (inv_t - self.c1) / self.c2
r = math.exp(ln_r)
return r / (self.pullup + r)
# Thermistor calibrated from one temp measurement and its beta
class ThermistorBeta(Thermistor):
def __init__(self, config, params):
self.pullup = config.getfloat('pullup_resistor', 4700., above=0.)
# Calculate Steinhart-Hart coefficents from beta
inv_t1 = 1. / (params['t1'] - KELVIN_TO_CELCIUS)
ln_r1 = math.log(params['r1'])
self.c3 = 0.
self.c2 = 1. / params['beta']
self.c1 = inv_t1 - self.c2 * ln_r1
# Linear style conversion chips calibrated with two temp measurements
class Linear:
def __init__(self, config, params):
adc_voltage = config.getfloat('adc_voltage', 5., above=0.)
slope = (params['t2'] - params['t1']) / (params['v2'] - params['v1'])
self.gain = adc_voltage * slope
self.offset = params['t1'] - params['v1'] * slope
def calc_temp(self, adc):
return adc * self.gain + self.offset
def calc_adc(self, temp):
return (temp - self.offset) / self.gain
# Available sensors
Sensors = {
"EPCOS 100K B57560G104F": {
'class': Thermistor, 't1': 25., 'r1': 100000.,
't2': 150., 'r2': 1641.9, 't3': 250., 'r3': 226.15 },
"ATC Semitec 104GT-2": {
'class': Thermistor, 't1': 20., 'r1': 126800.,
't2': 150., 'r2': 1360., 't3': 300., 'r3': 80.65 },
"NTC 100K beta 3950": {
'class': ThermistorBeta, 't1': 25., 'r1': 100000., 'beta': 3950. },
"AD595": { 'class': Linear, 't1': 25., 'v1': .25, 't2': 300., 'v2': 3.022 },
}
######################################################################
# Heater
######################################################################
SAMPLE_TIME = 0.001
SAMPLE_COUNT = 8
REPORT_TIME = 0.300
MAX_HEAT_TIME = 5.0
AMBIENT_TEMP = 25.
PID_PARAM_BASE = 255.
class error(Exception):
pass
class PrinterHeater:
error = error
def __init__(self, printer, config):
self.printer = printer
self.name = config.get_name()
sensor_params = config.getchoice('sensor_type', Sensors)
self.sensor = sensor_params['class'](config, sensor_params)
self.min_temp = config.getfloat('min_temp', minval=0.)
self.max_temp = config.getfloat('max_temp', above=self.min_temp)
self.min_extrude_temp = config.getfloat(
'min_extrude_temp', 170., minval=self.min_temp, maxval=self.max_temp)
self.max_power = config.getfloat('max_power', 1., above=0., maxval=1.)
self.lock = threading.Lock()
self.last_temp = 0.
self.last_temp_time = 0.
self.target_temp = 0.
algos = {'watermark': ControlBangBang, 'pid': ControlPID}
algo = config.getchoice('control', algos)
heater_pin = config.get('heater_pin')
if algo is ControlBangBang and self.max_power == 1.:
self.mcu_pwm = pins.setup_pin(printer, 'digital_out', heater_pin)
else:
self.mcu_pwm = pins.setup_pin(printer, 'pwm', heater_pin)
pwm_cycle_time = config.getfloat(
'pwm_cycle_time', 0.100, above=0., maxval=REPORT_TIME)
self.mcu_pwm.setup_cycle_time(pwm_cycle_time)
self.mcu_pwm.setup_max_duration(MAX_HEAT_TIME)
self.mcu_adc = pins.setup_pin(printer, 'adc', config.get('sensor_pin'))
adc_range = [self.sensor.calc_adc(self.min_temp),
self.sensor.calc_adc(self.max_temp)]
self.mcu_adc.setup_minmax(SAMPLE_TIME, SAMPLE_COUNT,
minval=min(adc_range), maxval=max(adc_range))
self.mcu_adc.setup_adc_callback(REPORT_TIME, self.adc_callback)
is_fileoutput = self.mcu_adc.get_mcu().is_fileoutput()
self.can_extrude = self.min_extrude_temp <= 0. or is_fileoutput
self.control = algo(self, config)
# pwm caching
self.next_pwm_time = 0.
self.last_pwm_value = 0
def set_pwm(self, read_time, value):
if self.target_temp <= 0.:
value = 0.
if ((read_time < self.next_pwm_time or not self.last_pwm_value)
and abs(value - self.last_pwm_value) < 0.05):
# No significant change in value - can suppress update
return
pwm_time = read_time + REPORT_TIME + SAMPLE_TIME*SAMPLE_COUNT
self.next_pwm_time = pwm_time + 0.75 * MAX_HEAT_TIME
self.last_pwm_value = value
logging.debug("%s: pwm=%.3f@%.3f (from %.3f@%.3f [%.3f])",
self.name, value, pwm_time,
self.last_temp, self.last_temp_time, self.target_temp)
self.mcu_pwm.set_pwm(pwm_time, value)
def adc_callback(self, read_time, read_value):
temp = self.sensor.calc_temp(read_value)
with self.lock:
self.last_temp = temp
self.last_temp_time = read_time
self.can_extrude = (temp >= self.min_extrude_temp)
self.control.adc_callback(read_time, temp)
#logging.debug("temp: %.3f %f = %f", read_time, read_value, temp)
# External commands
def set_temp(self, print_time, degrees):
if degrees and (degrees < self.min_temp or degrees > self.max_temp):
raise error("Requested temperature (%.1f) out of range (%.1f:%.1f)"
% (degrees, self.min_temp, self.max_temp))
with self.lock:
self.target_temp = degrees
def get_temp(self, eventtime):
print_time = self.mcu_adc.get_mcu().estimated_print_time(eventtime) - 5.
with self.lock:
if self.last_temp_time < print_time:
return 0., self.target_temp
return self.last_temp, self.target_temp
def check_busy(self, eventtime):
with self.lock:
return self.control.check_busy(eventtime)
def start_auto_tune(self, degrees):
if degrees and (degrees < self.min_temp or degrees > self.max_temp):
raise error("Requested temperature (%.1f) out of range (%.1f:%.1f)"
% (degrees, self.min_temp, self.max_temp))
with self.lock:
self.control = ControlAutoTune(self, self.control)
self.target_temp = degrees
def finish_auto_tune(self, old_control):
self.control = old_control
self.target_temp = 0
######################################################################
# Bang-bang control algo
######################################################################
class ControlBangBang:
def __init__(self, heater, config):
self.heater = heater
self.max_delta = config.getfloat('max_delta', 2.0, above=0.)
self.heating = False
def adc_callback(self, read_time, temp):
if self.heating and temp >= self.heater.target_temp+self.max_delta:
self.heating = False
elif not self.heating and temp <= self.heater.target_temp-self.max_delta:
self.heating = True
if self.heating:
self.heater.set_pwm(read_time, self.heater.max_power)
else:
self.heater.set_pwm(read_time, 0.)
def check_busy(self, eventtime):
return self.heater.last_temp < self.heater.target_temp-self.max_delta
######################################################################
# Proportional Integral Derivative (PID) control algo
######################################################################
PID_SETTLE_DELTA = 1.
PID_SETTLE_SLOPE = .1
class ControlPID:
def __init__(self, heater, config):
self.heater = heater
self.Kp = config.getfloat('pid_Kp') / PID_PARAM_BASE
self.Ki = config.getfloat('pid_Ki') / PID_PARAM_BASE
self.Kd = config.getfloat('pid_Kd') / PID_PARAM_BASE
self.min_deriv_time = config.getfloat('pid_deriv_time', 2., above=0.)
imax = config.getfloat('pid_integral_max', heater.max_power, minval=0.)
self.temp_integ_max = imax / self.Ki
self.prev_temp = AMBIENT_TEMP
self.prev_temp_time = 0.
self.prev_temp_deriv = 0.
self.prev_temp_integ = 0.
def adc_callback(self, read_time, temp):
time_diff = read_time - self.prev_temp_time
# Calculate change of temperature
temp_diff = temp - self.prev_temp
if time_diff >= self.min_deriv_time:
temp_deriv = temp_diff / time_diff
else:
temp_deriv = (self.prev_temp_deriv * (self.min_deriv_time-time_diff)
+ temp_diff) / self.min_deriv_time
# Calculate accumulated temperature "error"
temp_err = self.heater.target_temp - temp
temp_integ = self.prev_temp_integ + temp_err * time_diff
temp_integ = max(0., min(self.temp_integ_max, temp_integ))
# Calculate output
co = self.Kp*temp_err + self.Ki*temp_integ - self.Kd*temp_deriv
#logging.debug("pid: %f@%.3f -> diff=%f deriv=%f err=%f integ=%f co=%d",
# temp, read_time, temp_diff, temp_deriv, temp_err, temp_integ, co)
bounded_co = max(0., min(self.heater.max_power, co))
self.heater.set_pwm(read_time, bounded_co)
# Store state for next measurement
self.prev_temp = temp
self.prev_temp_time = read_time
self.prev_temp_deriv = temp_deriv
if co == bounded_co:
self.prev_temp_integ = temp_integ
def check_busy(self, eventtime):
temp_diff = self.heater.target_temp - self.heater.last_temp
return (abs(temp_diff) > PID_SETTLE_DELTA
or abs(self.prev_temp_deriv) > PID_SETTLE_SLOPE)
######################################################################
# Ziegler-Nichols PID autotuning
######################################################################
TUNE_PID_DELTA = 5.0
class ControlAutoTune:
def __init__(self, heater, old_control):
self.heater = heater
self.old_control = old_control
self.heating = False
self.peaks = []
self.peak = 0.
self.peak_time = 0.
def adc_callback(self, read_time, temp):
if self.heating and temp >= self.heater.target_temp:
self.heating = False
self.check_peaks()
elif (not self.heating
and temp <= self.heater.target_temp - TUNE_PID_DELTA):
self.heating = True
self.check_peaks()
if self.heating:
self.heater.set_pwm(read_time, self.heater.max_power)
if temp < self.peak:
self.peak = temp
self.peak_time = read_time
else:
self.heater.set_pwm(read_time, 0.)
if temp > self.peak:
self.peak = temp
self.peak_time = read_time
def check_peaks(self):
self.peaks.append((self.peak, self.peak_time))
if self.heating:
self.peak = 9999999.
else:
self.peak = -9999999.
if len(self.peaks) < 4:
return
self.calc_pid(len(self.peaks)-1)
def calc_pid(self, pos):
temp_diff = self.peaks[pos][0] - self.peaks[pos-1][0]
time_diff = self.peaks[pos][1] - self.peaks[pos-2][1]
max_power = self.heater.max_power
Ku = 4. * (2. * max_power) / (abs(temp_diff) * math.pi)
Tu = time_diff
Ti = 0.5 * Tu
Td = 0.125 * Tu
Kp = 0.6 * Ku * PID_PARAM_BASE
Ki = Kp / Ti
Kd = Kp * Td
logging.info("Autotune: raw=%f/%f Ku=%f Tu=%f Kp=%f Ki=%f Kd=%f",
temp_diff, max_power, Ku, Tu, Kp, Ki, Kd)
return Kp, Ki, Kd
def final_calc(self):
cycle_times = [(self.peaks[pos][1] - self.peaks[pos-2][1], pos)
for pos in range(4, len(self.peaks))]
midpoint_pos = sorted(cycle_times)[len(cycle_times)/2][1]
Kp, Ki, Kd = self.calc_pid(midpoint_pos)
logging.info("Autotune: final: Kp=%f Ki=%f Kd=%f", Kp, Ki, Kd)
gcode = self.heater.printer.lookup_object('gcode')
gcode.respond_info(
"PID parameters: pid_Kp=%.3f pid_Ki=%.3f pid_Kd=%.3f\n"
"To use these parameters, update the printer config file with\n"
"the above and then issue a RESTART command" % (Kp, Ki, Kd))
def check_busy(self, eventtime):
if self.heating or len(self.peaks) < 12:
return True
self.final_calc()
self.heater.finish_auto_tune(self.old_control)
return False
######################################################################
# Tuning information test
######################################################################
class ControlBumpTest:
def __init__(self, heater, old_control):
self.heater = heater
self.old_control = old_control
self.temp_samples = {}
self.pwm_samples = {}
self.state = 0
def set_pwm(self, read_time, value):
self.pwm_samples[read_time + 2*REPORT_TIME] = value
self.heater.set_pwm(read_time, value)
def adc_callback(self, read_time, temp):
self.temp_samples[read_time] = temp
if not self.state:
self.set_pwm(read_time, 0.)
if len(self.temp_samples) >= 20:
self.state += 1
elif self.state == 1:
if temp < self.heater.target_temp:
self.set_pwm(read_time, self.heater.max_power)
return
self.set_pwm(read_time, 0.)
self.state += 1
elif self.state == 2:
self.set_pwm(read_time, 0.)
if temp <= (self.heater.target_temp + AMBIENT_TEMP) / 2.:
self.dump_stats()
self.state += 1
def dump_stats(self):
out = ["%.3f %.1f %d" % (time, temp, self.pwm_samples.get(time, -1.))
for time, temp in sorted(self.temp_samples.items())]
f = open("/tmp/heattest.txt", "wb")
f.write('\n'.join(out))
f.close()
def check_busy(self, eventtime):
if self.state < 3:
return True
self.heater.finish_auto_tune(self.old_control)
return False
def add_printer_objects(printer, config):
if config.has_section('heater_bed'):
printer.add_object('heater_bed', PrinterHeater(
printer, config.getsection('heater_bed')))
|