Skip to content

Parameter Reference

All parameters of the system in one place: the library configuration, the Scilab parameter structures and the ngspice board values, with the reference values for the 17HS19-2004S1 on the B-G431B-ESC1 at 24 V.

Stepper-C configuration

Field Reference value Unit Constraint
motor.r_mohm 1600 mΩ 1 … 10⁷
motor.l_uh 3000 µH 1 … 10⁷
motor.i_rated_ma 2000 mA 1 … 10⁷
motor.ke_uv_s_per_rad 208600 µV·s/rad 0 … 10⁷ (0 = no feed-forward)
motor.full_steps_per_rev 200 — ≥ 1
stage.topology SSTEP_TOPOLOGY_SHARED_LEG — compiled in
stage.vbus_nominal_mv 24000 mV 1 … 10⁷
stage.vbus_min_mv 10000 mV 0 or < nominal
stage.vbus_max_mv 30000 mV 0 or > nominal
stage.i_full_scale_ma 4000 (placeholder) mA 1 … 10⁷
stage.i_trip_ma 3500 mA ≤ full scale
stage.pwm_period_ticks 4250 ticks ≥ 2
stage.pwm_freq_hz 20000 Hz —
stage.dead_time_ns 133 (effective) ns —
stage.adc_i_zero 2048 counts ≤ adc_full
stage.adc_i_span 2047 counts ±1 … ±65535
stage.adc_vbus_mv_full 34320 mV 1 … 10⁷
stage.adc_full 4095 counts ≥ 1
ctrl.drive_mode SSTEP_DRIVE_CURRENT — —
ctrl.fast_loop_hz 20000 Hz multiple of the slow rate
ctrl.slow_loop_hz 1000 Hz ratio ≤ 65535
ctrl.microsteps 16 — power of two ≤ SSTEP_CFG_MICROSTEPS_MAX
ctrl.current_bw_hz 1000 Hz ≤ fast rate / 4
ctrl.i_run_ma 2000 mA ≤ trip, ≤ rated
ctrl.i_hold_ma 1000 mA ≤ run
ctrl.hold_delay_ms 100 ms —
ctrl.v_max 16000 µsteps/s > 0
ctrl.accel 160000 µsteps/s² > 0
ctrl.decel 0 (= accel) µsteps/s² —

Simulation parameters

Structure.field Value Unit Source
mot.R, mot.L, mot.I_rated 1.60, 3.0·10⁻³, 2.0 Ω, H, A datasheet
mot.Kt, mot.Ns 0.2086, 200 N·m/A, — derived, datasheet
mot.J, mot.B 8.2·10⁻⁶, 1·10⁻⁵ kg·m², N·m·s/rad datasheet, assumption
mot.Td, mot.Tc, mot.w_c 0, 0, 0.05 N·m, N·m, rad/s not in datasheet (tests: 0.02, 0.01)
brd.vbus, brd.topology, brd.fs 24, "shared", 20000 V, —, Hz laboratory supply, ESC1
brd.vbus_min, brd.vbus_max 10, 30 V trips
brd.i_full, brd.i_trip 4.0, 3.5 A ADC model
brd.period, brd.adc_zero, brd.adc_span 4250, 2048, 2047 ticks, counts ADC model
brd.adc_vbus_full, brd.adc_full 34.32, 4095 V, counts ADC model
brd.stage, brd.sw_nstep "avg", 16 —, steps power stage model
brd.dead_ns, brd.dead_timer_ns 132.6, 500 ns ngspice export
brd.rds_on, brd.vd 3.40·10⁻³, 0.727 Ω, V ngspice export
ctl.bw_hz, ctl.delay, ctl.ff, ctl.nsub 1000, 1, 1, 4 Hz, periods, —, steps controller
mp.M, mp.f_slow 16, 1000 —, Hz motion
mp.v_max, mp.acc, mp.dec 16000, 160000, 160000 µsteps/s, µsteps/s² motion
mp.i_run, mp.i_hold, mp.hold_delay 2.0, 1.0, 0.1 A, A, s motion

ngspice board values

Key Value Unit Status
vbus 24 V operating point
fs 20000 Hz operating point
dead_ns 500 ns assumption (firmware)
vcc 12 V assumption
rg 10 Ω assumption
cboot 1 µF assumption
rsh, lsh 3, 1 mΩ, nH assumption
lloop 3 nH assumption
tj 25 °C operating point

Derived values

Quantity Formula Value
Kp L · 2π · bw 18.85 V/A
Ki R · 2π · bw 10 053 V/(A·s)
Kb Ts · R / L 0.0267
Electrical time constant L / R 1.875 ms
Natural frequency at 2 A √(p K_t I / J) / 2π 254 Hz
Microsteps per revolution N_s · M 3200
Largest phase voltage, shared leg Vbus / √2 16.97 V
ADC current resolution (placeholder scaling) i_full / span 1.95 mA/count