Inductosyn • • • Position-dependent mutual inductance (and thus signal transfer) between two meander-like flat coils Rotary or linear position Excitation: current into the fixed scale, OR current into the moving slider Farrand controls displacement Two sensing coils (sine and cosine) -> similar to quadrature output in incremental optical encoders (see later) Graph: Analog Devices Inductosyn - driven stator (scale) u 21 (t ) = KU sin ϕ sin ωt u 22 (t ) = KU cos ϕ sin ωt u 3 (t ) = KU (sin ϕ cos α − cos ϕ sin α) sin ωt = KU sin(ϕ − α) sin ωt Within one electrical/mechanical period: phase φ ~ fine position, Larger movement: incremental output Resolver Selsyn stator stator α α rotor a) The same signal format (the same signal processing electronics) as from inductosyn: e.g. Analog Devices AD2S1200 Tamagawa SmartSyn Pancake Resolver rotor b) Scott T-transformer (3 phase / 2 phase) Conversion of selsyn signal to resolver form Selsyn as angular position repeater http://www.allaboutcircuits.com Sensors based on eddy currents the depth of field penetration δ (attenuation to 1/e) !!! δ = 2ρ ⇒ Difficult field penetration to conductors ωµ (x low resistivity => high eddy currents) ⇒ Used for detecting presence of conductive targets (proximity switch) G i~ Eddy currents in the material tend to compensate the external field (Lenz law) Zm y δ a) b) Sensors based on eddy currents -construction field concentration (focusing) : ferrite core, ev. magnetic shielding The sensor in typical threaded-cylinder shape Metallic target Sensors based on eddy currents : signal conditioning circuits • Bridge and transformer circuits (compensating sensor) • resonant circuits LC-oscillator: f, Q • pulse driven - defectoscopy low f: change of Re(Z) high f: change of L Sensors based on eddy currents : applications • sensors of translational motion • binary sensors of position (proximity switch) • detection of vehicles (or any conducting objects - mines, cable, pipelines) • diagnostics • cracks • material composition ☺ noncontacting ☺ operation in presence of dirtiness ☺ target conductive ☺ for d >δ independent on target parameters u2 Φ is um u1 us iw Sensors based on eddy currents : applications ∅ 1 ~ ∆ ~ ~ ∆ l 2 a) ~ c) b) ∆1 ~ ∆2 ~ g) ~ j) h) ~ ρ ~ ρ µ i) ~ ∆ f) ~ ρ ρ ~ ~ ϑ e) d) k) l l) Magnetostictive sensors of position elastic wave in ferromagnetic material .... v = 3000 m/s = 3µm / ns (approx. 10x speed of sound in air) Interaction of magnetic fields (current pulse + permanent magnet) creates pulse of mechanical strain (Wiedemann effect ) propagating along the wire. Time of flight => position of permanent magnet Induction pickup senses initial and reflected strain pulses Induction pickup coil Magnetostrictive wire S N N S Inner Tube Strain pulse S N N S Magnet in movable float Outer guide tube A S N N S Strain pulse Strain pulse reflected off bottom Reflection terminator B ☺ max. length up to 4 m (attenuation) ☺ hysteresis 0.4 µm ☺ linearity 0.02 % C Patriot Capacitive sensors C= εS d Capacitive sensors – cont’d C= εS d Capacitive sensor with variable area of electrodes overlapping 1 3 εS C= d 2 x a) C13 C13+C23 −x C23 +x b) ratiometric measurement: C23 - C13 C23 + C13 influence of d,ε eliminated Capacitive sensor with variable area of electrodes overlapping 1 3 u1 2 1 x P1 C13 3 C13 C13+C23 −x C23 uv Reg. u3 a) U1 U1 uv b) c) x 1 U2 d) t 2 x 3 e) U1 uv 2 u2 +x 2 3 S C23 1 u1 ; u2 P2 U2 U1 ( jω ) jωC13 + U 2 ( jω ) jωC23 = 0 ⇒ U1 ( jω )C13 = − U 2 ( jω )C23 (uV − U1 )C13 = −(uV − U 2 )C23 U2 f) x Similar to digital caliper if U1 = U , U 2 = −U (uV − U )C13 = −(uV + U 2 )C23 ⇒ u V = U C13 − C23 C13 + C23 resolution: 1 µm, uncertainty 5 µm Modern signal conditioning circuits for capacitive sensors Main problem influence of capacitance of leads (cable) (driven from voltage source, current measured by „ideal ammeter“ ) • charge pump ☺ realisation by CMOS technology and inductive dividers ☺ coils and transformers are not necessary • C/f converter ☺ ADC not necessary • converter C/U ☺ capacitor in feedback eliminates dependence on frequency • transformer bridges expensive, noncompatible with IC Amplifier for capacitive sensors: Cp1 Cs Cp2 C1 + U(jω) − G U1(jω) -A U2(jω) Parasitic capacitances of the cable to Cs will not apply: Cp1 is on virtual zero, Cp2 is on low output impedance of the OpAmp Linearity even for variable air gap sensor (vibration measurement), U2 ~ d Applications of capacitive sensors Typical applications: - sensing level in tanks - checking filling of products inside packages - sensing level of powder / granules in storage Honeywell Omega Bottle Conveyor belt Control of filling - sensing non-metalic objects on conveyor belts Sensing humidity of material in dryer Checking presence of parts in product completion drums reservoir Sensing level of liquid dye in printworks Control of filling Checking presence of products in mass production: sensor rubber gasket sensor metal object Honeywell Turck