Field of the Invention
The invention is directed to an electric current sensor, and in particular to a Faraday effect electric current sensor apparatus and method utilizing a fiber-optic frequency-induced polarization modulation approach.
Background of the Invention
The Faraday effect relates to rotation in the plane of polarization of linearly polarized light, that is light passed through matter in the direction of the lines of force of an applied magnetic field. The magnitude .alpha. of the rotation depends on the strength of the magnetic field H, the nature of the transmitting substance, the frequency v of the light, the temperature of the transmitting substance, and other parameters. In general,
.alpha.=VxH
where x is the length of the light path in the magnetized substance and V the so-called Verdet constant. The constant V is a property of the transmitting substance, its temperature, and the frequency of light.
Various optic fiber devices have been developed which exploit the Faraday effect for the measurement of electric current in a conductor. Such devices typically comprise one or more turns of optic fiber arranged in the form of a coil around the conductor. In accordance with the Faraday effect, the plane of polarization of linearly polarized light propogating in the optic fiber is rotated in proportion to the current passing through the conductor. Therefore, the electric current in the conductor can be calculated by measuring the degree of rotation of the linearly polarized light.
Both homodyne-based systems and heterodyne-based systems have been developed for measuring the degree of rotation of the linearly polarized light in a fiber optic sensor. Homodyne-based systems are disclosed in, for example, A. J. Rogers, IEEE J. Electron. Power Appl., 2, p. 20, 1977; A. M. Smith, Appl. Optic, 19, p. 3729, 1978. Heterodyne-based systems are disclosed in, for example, A. D. Kersey and D. A. Jackson, J. Lightwave Technology, Vol LT-4, No. 6, pp. 640-644 (June 1986).
Generally, fiber optic devices for measuring electric current employ specialty fibers, such as a helical core fiber (see M. P. Varnham et al., Digest ECOC/IOOC Conference Venice, p. 135, 1985), or a spun high-birefringence fiber (see L. Li et al., Electron. Lett., 22, p. 1142, 1986). Other special fibers include doped fibers with enhanced Verdet constants and annealed fibers which reduce both intrinsic birefringence and bend induced birefringence (see G. W. Day and S. M. Etzel, Digest ECOC/IOOC Conference Venice, p. 871, 1985).
Summary of the Invention
In accordance with the invention, a fiber optic Faraday effect sensor system is provided for detecting electric current. The sensor system generally comprises: source means for providing an input beam of frequency-modulated linearly-polarized light, polarization modulation means for converting the input beam of frequency-modulated light into polarization-modulated light, Faraday rotation current sensing means for passing the polarization-modulated light through a magnetic field generated by an electric current wherein at least a portion of the magnetic field is generally parallel to the direction of propagation of the polarization-modulated light, and measurement means for measuring the Faraday rotation of the polarization-modulated light to thereby determine the magnitude of the current.
In a preferred embodiment, the source means includes: a current generator for providing modulation current, a linearly polarized diode laser for producing an input beam of frequency-modulated light in response to the modulation current, and a high-birefringence optical fiber for conveying the input beam to the polarization modulation means.
The polarization modulation means preferably includes a high birefringence optical fiber for receiving the frequency-modulated light into one polarization mode therein. The high birefringence optical fiber passes the frequency-modulated light through a 45.degree. splice to split the one mode of frequency-modulated light into two modes of frequency-modulated light. A phase delay means provides a net polarization phase delay between the two modes of frequency-modulated light. The phase delay means comprises a length of high birefringence optical fiber having different effective optical paths corresponding to the two polarization modes of frequency-modulated light. An optical fiber .lambda./4 plate re-combines the two modes of frequency-modulated light into one beam of polarization-modulated light which is linearly polarized at an azimuth angle which varies as a function of the net polarization phase delay. The axis of the .lambda./4 plate is oriented +45.degree. to the polarization axis of the high birefringence optical fiber.
In a preferred embodiment, an electric current to be measured is passed through a wire coil wrapped around a coil of ultra-low birefringence optical fiber such that the ultra-low birefringence optical fiber repeatedly passes the polarization-modulated light through the magnetic field generated by the electric current.
Preferably, the measurement means includes an output fiber polarizer which receives the Faraday rotated polarization-modulated light and allows only linearly polarized portion to pass therethrough as an output beam. An analyzer is provided for measuring the light intensity of the output beam and the intensity modulation of the output beam to thereby determine the magnitude of the electric current.
It will be appreciated from the foregoing that the system of the invention is implemented primarily with fiber optics and is less complex than prior art sensing systems. Further, the system is generally cheaper and more reliable than such prior art systems. Another advantage is the ability of the system to be used effectively in remote sensing applications.
Other features and advantages of the invention will be set forth in, or be apparent from, the detailed description of the preferred embodiments which follows.
Brief Description of the Drawings
FIG. 1 is a schematic diagram of a preferred embodiment of the invention.
FIG. 2(a) is a Poincare sphere representation of the state of polarization of the system along line A of FIG. 3.
FIG. 2(b) is a Poincare sphere representation of the state of of the system along line B of FIG. 3.
FIG. 3 is a schematic diagram or the polarization modulator invention.
FIG. 4 is a schematic diagram of the Faraday current sensor of the invention.
Detailed Description of the Preferred Embodiment
With reference to the FIG. 1, a preferred embodiment of the invention will be described. A diode laser 10 provides a beam of coherent light. The frequency of the light provided by diode laser 10 is modulated by a current ramp modulator 11. The light emitted from diode laser 10 passes through linear polarizer 13 and is coupled into one polarization mode of a high-birefringence (HB) optic fiber input lead 12. Input lead 12 conveys the frequency-modulated linearly polarized light a polarization modulator 14.
Polarization modulator 14 provides "optical-frequency-to-polarization" modulation which converts the frequency-modulated light provided by diode laser 10 into polarization-modulated light, i.e. polarization modulator 14 outputs linearly polarized light which is polarized at an azimuth angle that depends upon the frequency of the frequency-modulated light. Accordingly, the state of polarization of the light output from polarization modulator 14 is modulated in accordance with the frequency modulation of diode laser 10.
The polarization-modulated light output from polarization modulator 14 is coupled into a Faraday current sensor 16 which also receives an electric current which is to be detected through a conductor 32. Faraday current sensor 16 produces an additional rotation in the plane of polarization of the light which is a function of the strength of the electric current carried through conductor 32. (The plane of polarization of light is rotated in accordance with the Faraday effect which will be described in detail below.) As a result, Faraday effect sensor 16 outputs polarization-modulated light wherein the polarization azimuth is rotated as a function of the electric current in conductor 32.
The light from Faraday current sensor 16 is coupled directly into an in-line fiber polarizer 18 which converts the polarization-modulated light into intensity-modulated light. Any change in the polarization of the light input to polarizer 18, as caused by the Faraday effect in Faraday current sensor 16, is thereby converted into a change in the light intensity modulation output from polarizer 18.
A conventional fiber optic link 30 conveys the output from polarizer 18 to a light-intensity detector 20. Due to the ramp frequency modulation of the diode laser 10, the polarization at the output of the Faraday current sensor 16 rotates a complete .pi. change in azimuth for each ramp period. This causes the intensity of the resolved linear polarized component passed by the output in-line polarizer 18 to vary between maximum and minimum levels during each ramp cycle. This intensity modulated signal is passed to a bandpass filter 31 which is centered at the fundamental of the ramp modulation frequency. The presence of an electric current in conductor 32 causes an additional rotation of the instantaneous polarization-azimuth of the polarization-modulated light which passes through the Faraday current sensor 16. Consequently, the polarization modulation at the output of the Faraday current sensor 16 is either advanced or delayed by the Faraday effect depending on the polarity of the electric current, and the magnitude of this advancement or delay is linearly proportional to the magnitude of the electric current in the conductor 32. The presence of current in conductor 32 is thereby detected by detector 20 as a change in the timing of the detected maximum and minimum intensity points. After filtering by a bandpass filter 31, changes in the timing of the maximum and minimum intensity points are reflected as a change in phase of the electrical carrier signal at a frequency equal to the fundamental of the ramp modulator 11 produced at the output of the bandpass filter 31. This change in phase of the electrical carrier is then detected by a phase-locked loop (PLL) demodulator 34.
Referring to FIGS. 2a, 2b, and 3, the operation of polarization modulator 14 will now be more fully described. As shown in FIG. 3, a high birefringence optic fiber coil 22 of length L receives light from input fiber 12 via a 45.degree. coupler splice 26. The frequency-modulated light (passed through a single polarization mode of optic fiber 12) is equally coupled into two polarization modes of high birefringence fiber 22 by coupler splice 26. The two polarization modes have different effective optical paths, and high birefringence fibre 22 has sufficient length (L) such that the difference in effective optical paths yields a substantial net polarization phase delay between the two modes of light.
A fiber optic .lambda./4 plate 24 receives light from high birefringence coil 22 and produces polarization-modulated light by exploiting the net phase delay between the two modes of light. The .lambda./4 plate 24 comprises a low-birefringence fiber 23 with a single loop which is mounted such that the plane of fiber loop 23 is rotatable with respect to the polarization axes in high birefringence fiber 22. The orientation of .lambda./4 plate 24 is thereby adjustable such that a linear state of polarization is generated at the output (the azimuth of which depends linearly on the frequency of diode laser 10). The state of polarization of light entering the .lambda./4 plate 24 is confined to a great circle, circle PLQR on the Poincare sphere shown in FIG. 2(a), which passes through the poles (left and right circular states) and linear states at .+-.45.degree. to the polarization axes, which are denoted X and Y in FIG. 2(a), in the fiber coil 22. Waveplate 24, which is oriented with its axes at .+-.45.degree. to the modes of the HB-fiber coil 22, rotates the great circle PLQR on the Poincare sphere by 90.degree. into the equatorial plane XPYQ, as shown in FIG. 2(b). Thus, the light from the waveplate 24 is linearly polarized at an azimuth which is a function of the net polarization phase delay of high birefringence coil 22.
Consequently, modulation of the optical emission frequency of diode laser 10 results in a modulation in the plane of polarization of the linearly polarized light at the output of waveplate 24. The azimuth .PSI. of the output plane of polarization (relative to the X mode of high birefringence fiber 22) is given by:
where, B is the modal birefringence of the fiber, v is the laser emission frequency, and c is the velocity of light. A modulation in the laser frequency, .DELTA.v, thus results in a rotational modulation in the azimuth of the plane of polarization .DELTA..PSI. given by
Referring to FIG. 4, the Faraday effect sensor 16 will now be more fully described. Faraday effect sensor 16 includes an ultra-low birefringence fiber 28 wound in a coil configuration 29 which receives the polarization-modulated light from polarization modulator 14 via a splice coupler 36. A portion of conductor 32 is wound around a portion of sensing coil 29 to produce a conductor coil 33. Electric current to be measured or detected is passed through a conductor coil 33. Electric current carried in conductor 32 induces a magnetic field. Sensing coil 29 is wrapped around conductor 32 such that at least a portion of the magnetic field is generally parallel to the direction of propagation of light within sensing coil 29. The plane of polarization of light passing through sensing coil 29 is rotated in accordance with the Faraday effect. The ultra-low birefringence fiber 28 is twisted while it is wound to counteract the effects of bend-induced linear birefringence introduced by coiling the fiber 28. Therefore, Faraday current effect sensor 16 outputs polarization-modulated light wherein the polarization azimuth is rotated as a function of the electric current in conductor 32.
The net Faraday rotation generated by this configuration of sensing coil 29 and conductor coil 33 is
where V is the Verdet constant of sensing coil 29, I is the current in conductor coil 33 of N.sub.w turns, and N.sub.f is the number of fiber turns in sensing coil 29. At the output of sensing coil 29, the azimuth of the output polarization is
where, .PSI.(v) and modulation (.DELTA.i), .PHI..sub.0 is a rotational bias in sensing coil 29 due to circular birefringence introduced by twisting the fiber, and .PHI..sub.f (I) is the current-dependent Faraday rotation.
The output of ultra-low birefringence fiber 28 is coupled via a fiber splice (not shown) into fiber polarizer 18.
Referring again to FIG. 1, the intensity of light coupled into output fiber 30 is
where .alpha. is an angular offset which accounts for the arbitrary orientation of the output polarizer axes, and J.sub.i is the intensity after the input polarizer 11. Equation 5 is equivalent to
where .zeta.=2.alpha.-2.PHI..sub.0 -2.PSI.(v) is the net phase offset term due to .alpha., .PHI..sub.0, and .PSI.(v).
The output transfer function of Equation 6 is completely cycled by modulating the emission frequency of diode laser 10 with a sawtooth-waveform of deviation sufficient to induce a rotational modulation .DELTA..PSI.=.pi. rad. p--p. Bandpass filtering of the light at the fundamental of the ramp frequency, .omega..sub.r, produces output which can be written as
where k is an electronic gain factor. This describes a carrier signal of frequency .omega..sub.r, phase-modulated by the Faraday effect rotation 2.PHI..sub.f (I). Phase-locked loop 32 demodulates the output carrier.
The carrier described by Equation 7 is also phase-modulated by offset drift term .zeta.. Phase drift is caused by laser frequency instability, and temperature induced changes in the birefringence of the OFP GB-fiber section. Also drift can occur in the rotational offset .PHI..sub.0 in the sensing fiber coil. This drift is indistinguishable from Faraday rotation phase shifts induced by DC currents in the sensor. However, the detection of alternating currents (which is of primary interest), is unaffected.
In an exemplary non-limiting embodiment, input fiber 12 and output fiber 30 are each 100 m in length. High birefringence fiber coil 22 is formed from a 70 m length of high-birefringence fiber of 2.0 mm beat length wound to a 10 cm diameter. Low birefringence fiber 23 which forms waveplate 24 is 3.2 cm in diameter. Faraday sensing coil 29 consists of 187 turns of ultra-low birefringence fiber 28 wound on a 32 cm diameter former (not shown). Ultra-low birefringence fiber 28 is twisted at a low rate of 2 twists/turn to counteract the effects bend-induced linear birefringence introduced by coiling the fiber. Conductor coil 32 has 974 turns of 20 AWG wire.
The exemplary embodiment produces a Faraday rotation of 0.51 rad/A (29.degree./A). Modulating the input current of diode laser 10 by a.about.5 mA p--p current ramp produces a laser frequency ramp of.about.15 GHz p--p. This in turn induces a polarization-rotation modulation .DELTA..PSI.=.pi. rad. p--p in at the output of polarization modulator 14. The intensity-modulated output detected by detector apparatus 20 is passed through bandpass filter 34 centered at the frequency of ramp modulator 8 of 10 kHz to produce a carrier signal S, as defined in Equation (7) above.
Operation over a dynamic range of.about.100 dB (30 .mu.A/ Hz to 3 A rms) is possible, limited only by excessive heating in the coil windings at higher currents. This corresponds to a range in the current of conductor 32 (i.e. I.N ) of .about.30mA to 3 kA (equivalent to approximately 5.6 A to 0.56 MA for a single fiber loop (i.e. N.sub.f =1) sensor configuration). The sensing range can be tailored to a particular application by varying the number of turns in sensing coil 29.
The invention thus far described allows heterodyne detection of Faraday effect rotation in a remote fiber coil using frequency-modulated laser-based signal processing. The all-fiber configuration of the invention is best used for remote sensors having no alignment or drift problems. The heterodyne signal processing technique of the invention achieves a very wide dynamic range since multiple 2.pi. rotational excursions are accommodated in the demodulation process.
Although the invention has been described with respect to an exemplary embodiment thereof, it will be understood by those skilled in the art that variations and modifications can be effected in this exemplary embodiment without departing from the scope and spirit of the invention.