Method and System for Measuring/Detecting Ice or Snow Atmospheric Accretion on Overhead Power Lines

Abstract

The present invention is related to a method for detecting and/or measuring atmospheric accretion on a suspended electrical cable span (2) of overhead power lines, said suspended electrical cable span (2) having a sag (D) and a local tension (H), and being submitted to wind pressure (w.sub.wind), comprising the steps of independently: measuring said sag (D), and optionally measuring the wind pressure (w.sub.wind), over a first time range, measuring the local tension (H) over a second time range,
the results of both steps being complemented and/or combined, so that to allow atmospheric accretion detection and/or measurement.

Claims

1. A method for detecting and/or measuring atmospheric accretion on a suspended electrical cable span (2) of overhead power lines, said suspended electrical cable span (2) having a sag (D) and a local tension (H), and being submitted to wind pressure (w.sub.wind), comprising the steps of independently: measuring said sag (D), and optionally measuring said wind pressure (w.sub.wind), over a first given time range, measuring said local tension (H) over a second given time range, the results of both steps being complemented and/or combined, so that to allow atmospheric accretion detection and/or measurement.

2. The method according to claim 1, wherein atmospheric accretion comprises ice, snow, wet snow, frost and the mixtures thereof.

3. The method according to claim 1, wherein the first given time range and the second given time range are the same.

4. The method according to claim 1, wherein the step of measuring the sag (D) of the suspended span (2) is solely obtained by the determination of the fundamental frequency of the electrical cable (1) oscillations.

5. The method according to claim 1, wherein the step of measuring the sag (D) of the suspended span (2) is obtained by an optical method, for example in which a distance to an external target or the ground is measured by a camera located in a device mounted on the suspended span (2).

6. The method according to claim 1, wherein the step of measuring the sag (D) of the suspended span (2) is obtained by an inclinometer method measuring the angle made by the suspended span (2) with the ground.

7. The method according to claim 1, wherein the accretion loading by unit length w.sub.ice [N/m] is given by $\mathrm{DH}=\frac{w_c.Math.L^2}{8}.Math.\sqrt{{\left(1+\frac{w_{\mathrm{ice}}}{w_c}\right)}^2+{\left(\frac{w_{\mathrm{wind}}}{w_c}\right)}^2},$ where D [m] is the sag, H[N] is the local mechanical tension and L[m] is the length of the span, w.sub.c [N/m] is the conductor weight per unit length and w.sub.wind [N/m] is the wind pressure per unit length.

8. The method according to claim 7, wherein, in case of negligible wind pressure, the accretion loading by unit length w.sub.ice [N/m] is given by $\mathrm{DH}=\frac{w_c.Math.L^2}{8}.Math.\left(1+\frac{w_{\mathrm{ice}}}{w_c}\right).$

9. The method according to claim 1, wherein the change of accretion load, and further the change of apparent weight of span (2) due to accretion, over time, is given by: $\frac{d}{\mathrm{dt}}.Math.\left(\mathrm{DH}\right)=\frac{L^2}{8}.Math.\frac{{\mathrm{dw}}_{\mathrm{ice}}}{\mathrm{dt}}.$

10. The method according to claim 4, wherein raw tension output data are fitted over the given time range to sag data determined by the method of oscillations fundamental frequency, said time range corresponding to a period with no atmospheric accretion and negligible wind, so that no further calibration is needed for converting raw tension output to actual tension.

11. A device (4) for detecting and/or measuring atmospheric accretion on a suspended electrical cable span (2) of overhead power lines, by carrying out the method according to claim 1, comprising a casing (13, 14) to be traversed by the cable (1), a three-axis accelerometer and a local and internal tension sensor device (8) imposing a deflection to the cable portion traversing the casing (13, 14), yielding a deflected cable portion (17), and providing resulting output strain gauge measurements.

12. Computer program for implementing a method according to claim 1 when executed by a data processing device (5) connected to a sensor set for sensing the motion of at least one point of said suspended cable span (2) over a time interval.

13. Memory carrier containing a computer-readable instruction set for implementing a method according to claim 1 when executed by a data processing device (5) connected to a sensor set for monitoring the motion of at least one point of said suspended cable span (2) over a time interval.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0023] The invention may be more completely understood in consideration of the following detailed description of embodiments in connection with the accompanying drawings, in which:

[0024] FIG. 1 is a schematic view of a power line with a plurality of spans of suspended electrically conductive cable and a system for measuring/detecting accretion of all possible atmospheric types (ice, snow, wet-snow, frost, etc. and mixtures thereof) with respect to a suspended span of cable.

[0025] FIG. 2 is a side view of a span of the power line of FIG. 1

[0026] FIG. 3 is a perspective view of particular embodiment for a sensor according to the present invention.

[0027] FIG. 4 is a cross-sectional view of a particular embodiment of the monitoring device according to the invention, taken along a horizontal (top) and vertical (bottom) plane, respectively. An imposed deflection through a tension sensor is schematically highlighted.

[0028] FIG. 5 is a graph showing, respectively, the evolution of sag (top) and tension (bottom) during a two-day period with no ice and negligible wind pressure.

[0029] FIG. 6 is a graph showing the correlation from raw output obtained from tension sensors and sag obtained from vibration-based method.

[0030] FIG. 7 is a graph illustrating the potential twist of the conductor by measuring (three-axis) acceleration of the conductor. Initial vertical axis acceleration goes from the opposite of the gravity to the gravity and comes back to the previous initial state.

[0031] While the invention is amenable to various modifications and alternative forms, specifics thereof have been shown by way of example in the drawings and will be described in detail. It should be understood, however, that the intention is not to limit aspects of the invention to the particular embodiments described. On the contrary, the intention is to cover all modifications, equivalents, and alternatives falling within the scope of the claims.

DETAILED DESCRIPTION

[0032] For the following defined terms, these definitions shall be applied, unless a different definition is given in the claims or elsewhere in this specification.

[0033] All numeric values are herein assumed to be preceded by the term “about”, whether or not explicitly indicated. The term “about” generally refers to a range of numbers that one of skill in the art would consider equivalent to the recited value (i.e. having the same function or result). In many instances, the term “about” may be indicative as including numbers that are rounded to the nearest significant figure.

[0034] Any recitation of numerical ranges by endpoints includes all numbers within that range (e.g., 1 to 5 includes a.o. 1, 4/3, 1.5, 2, e, 2.75, 3, π, 3.80, 4, and 5).

[0035] Although some suitable dimension ranges and/or values pertaining to various components, features and/or specifications are disclosed, one of skill in the art, incited by the present disclosure, would understand that desired dimensions, ranges and/or values may deviate from those expressly disclosed.

[0036] As used in this specification and in the appended claims, the singular forms “a”, “an”, and “the” include plural referents unless the content clearly dictates otherwise. As used in this specification and the appended claims, the term “or” is generally employed in its sense including “and/or” unless the content clearly dictates otherwise.

[0037] The following detailed description should be read with reference to the drawings in which similar elements in different drawings are numbered the same. The detailed description and the drawings, which are not necessarily to scale, depict illustrative embodiments and are not intended to limit the scope of the invention. The illustrative embodiments depicted are intended only as exemplary. Selected features of any illustrative embodiment may be incorporated into an additional embodiment unless clearly stated to the contrary.

[0038] The present disclosure relates to measuring/detecting accretions of all possible types (ice, snow, wet-snow, frost, etc. and the mixtures thereof) with respect to a suspended span of cable or for an electric power line comprising such a suspended cable span.

[0039] It may nevertheless have other applications in fields not directly related to electric power transmission.

[0040] The present invention provides a new method and device for detecting/measuring atmospheric accretion on power lines by means of two independent measures/methods, the results of which being complemented and combined. These two methods determine the apparent weight of conductor and corresponding amount of ice/snow (and their mixtures) on power lines:

(i) the measurement of the sag in the suspended span and
(ii) the measurement of the (local) tension of suspended span.

[0041] For a multiple-span section, the sensor according to the present invention has to be repeated on all spans or at least on spans intended to be monitored along the section.

[0042] FIG. 1 schematically depicts an overhead power line comprising a plurality of successive suspended spans 2 of electrically conductive cable 1 supported by pylons 3 through suspension chains. On each suspended cable span 2 intended to be monitored along the section is clamped an autonomous device 4, as disclosed for instance in above-mentioned U.S. Pat. No. 8,184,015, comprising an accelerometer set suitable for monitoring motion in at least two axes perpendicularly to the cable and a transmitter for transmitting motion data obtained by this accelerometer set to a remote data processing unit 5. The autonomous device 4 may be inductively powered by the electric current I flowing through the power line cable 1. The illustrated system also comprises at least one ambient temperature sensor 6 and one electric current sensor 7 also connected to the remote data processing unit 5. The ambient temperature sensor 6 may be integrated within the autonomous device 4 or located within a general vicinity of the power line 1. The electric current sensor 7 may also be embedded within the autonomous device 4.

[0043] It has to be noted that it remains under the scope of the present invention to contemplate methods known in prior art for measuring the sag of the suspended span other than accelerometer methods, for example optical methods, in which a distance to an external target or to the ground is measured by a camera mounted on the suspended span or inclinometer methods measuring the angle made by the suspended span with the ground.

[0044] According to the present invention, an additional strain gauge 8 is further embedded in the autonomous device 4 for communicating local tension values 9 to the processing unit 5.

[0045] Each span 2 has a sag S which will increase with the temperature Tc of the cable, as thermal dilatation increases the length of cable between successive pylons 3. Increasing sag S of a suspended cable span generally decreases the clearance C of the cable with respect to the ground or any above ground obstacles, such as trees or buildings, as seen schematically on FIG. 2. It is however often required to maintain at least a critical minimum clearance C in order to prevent arcing from a suspended cable span of an overhead high-voltage power line.

[0046] FIG. 3 depicts an example of embodiment for the mechanical tension sensor 8 according to the present invention, comprising a cavity 10 for accommodating the electric cable and applying a deflection onto the cable. The cable deflection caused by the sensor device produces a tangential force which is proportional to the force exerted by the cable traction. On each side of this cavity 10 is a strain gauge 11 for measuring the tension caused by the deflection. Plug 12 is intended for connecting wires for power supply of the sensor as for recovering tension data.

[0047] FIG. 4 schematically shows how tension sensor 8 is embedded in an accelerometer set casing as described for example in U.S. Pat. No. 8,184,015 B2.

[0048] In a purpose of analysis and explanation of the method, the computation and formulae are simplified by assuming a leveled span and uniform loading (i.e. conductor weight per unit length, ice and wind) along suspended cable. The sag of a suspended cable is well-known and well-defined in literature (see for example ref. [2]). It is given by the following parabola formula:

[00001]$\begin{array}{cc}D=\frac{{\mathrm{wL}}^2}{8.Math.H}& \left(1\right)\end{array}$

where D [m] is the sag, H [N] is the mechanical tension and L [m] is the span length, w [N/m] is the resultant force of conductor weight, wind pressure and ice loading, per unit length, given by

w=√{square root over ((w.sub.c+w.sub.ice).sup.2+w.sub.wind.sup.2)}  (2)

where w.sub.c [N/m] is the weight of conductor per unit length, w.sub.wind[N/m] is the pressure due to wind and w.sub.ice [N/m] is the potential additional weight due to any accretion (like ice loading); w.sub.ice and w.sub.c are acting in a vertical plane and w.sub.wind is acting on a horizontal plane. In case of no accretion and no wind, the resultant weight per unit length is equal to conductor weight per unit length; mathematically speaking, one has then w=w.sub.c.

[0049] By measuring/determining both above-mentioned sag and tension, it becomes possible to determine the change in conductor apparent weight due to ice. Using equation (1) and equation (2), we see that the product of both above-mentioned sag D and tension H gives a coefficient p which is directly linked to the total resultant weight per unit length

[00002]$\begin{array}{cc}\mathrm{DH}=p=\frac{{\mathrm{wL}}^2}{8}=\frac{L^2}{8}.Math.\sqrt{{\left(w_c+w_{\mathrm{ice}}\right)}^2+w_{\mathrm{wind}}^2}=\frac{w_c.Math.L^2}{8}.Math.\sqrt{{\left(1+\frac{w_{\mathrm{ice}}}{w_c}\right)}^2+{\left(\frac{w_{\mathrm{wind}}}{w_c}\right)}^2}& \left(3\right)\end{array}$

[0050] First consider the case with either no wind or negligible pressure due to wind for simplicity. Equation (3) becomes

[00003]$\begin{array}{cc}\mathrm{DH}=\frac{{\mathrm{wL}}^2}{8}=\frac{L^2}{8}.Math.\sqrt{{\left(w_c+w_{\mathrm{ice}}\right)}^2}=\frac{\left(w_c+w_{\mathrm{ice}}\right).Math.L^2}{8}=\frac{w_c.Math.L^2}{8}.Math.\left(1+\frac{w_{\mathrm{ice}}}{w_c}\right)& \left(4\right)\end{array}$

[0051] Noting

[00004]$\frac{d}{\mathrm{dt}}\left[1.Math.\text{/}.Math.s\right]$

the time derivation of equation (4) and noting that conductor weight w.sub.c and span length L are constant over time, the rate of accretion is given by

[00005]$\begin{array}{cc}\frac{d}{\mathrm{dt}}.Math.\left(\mathrm{DH}\right)=\frac{L^2}{8}.Math.\frac{{\mathrm{dw}}_{\mathrm{ice}}}{\mathrm{dt}}& \left(5\right)\end{array}$

[0052] Sag D and tension H can be obtained in different ways. Although wind and corresponding wind pressure can be estimated using vibrations-based method as detailed in patent application WO 2014/090416 A1, wind pressure w.sub.wind is generally negligible compared to conductor weight per unit length and potentially problematic ice overload.

[0053] Vibration-based measurement as detailed in U.S. Pat. No. 8,184,015 B2 is preferably used since sag is determined hereby without need of data and in particular of data such as extra weight due to ice or snow accretion.

[0054] According to an embodiment of the invention, a local tension measurement using an imposed deflection of the cable inside the sensor (FIG. 4) at sensor location is preferably used since there is no need to uncouple conductor from tower during installation as it is done using tension measurement at tower location. Local tension measurement from imposed deflection of wire/cable gives a relation from raw outputs from strain gauges to real tension in wire which must be calibrated to specific wire size and type before installation.

[0055] Local tension can be measured at a suitable high sampling frequency, a few tens of hertz, for example 25 [Hz], just like the accelerations, while sag determination needs a few minutes, depending on sampling frequency of accelerations and frequency resolution needed, due to frequency analysis of the accelerations measured at this high frequency sampling. Thus, in some embodiments, tension and sag may at times cover time periods slightly different.

[0056] However, it is intended to use the fact that vibration-based sag measurement determines sag (or fundamental frequency) without the need of any data. Such properties may also be used to determine many other features. As vibration-based sag measurement is obtained without the need of any data, raw tension sensor output can be fit, using equation (1), to sag in case of period of no accretion, for example during summer, with high ambient temperature, etc., with no need of calibration of the sensor before installation (raw tension and acceleration data respectively shown in FIG. 5). Such a good correlation is shown in FIG. 6, which corresponds to data collected during about one month (from 2014 May 22 to 2014 Jun. 18).

[0057] As wet snow accretes on a conductor, it tends to twist it and so to expose a fresh conductor surface for further accretion. Thus conductors that have low torsional rigidity can have higher ice loads.

[0058] In long single conductor spans, the eccentric weight of the deposit may be large enough to significantly twist the conductor. Since the conductor span is fixed against rotation at the ends, this eccentric ice load will twist the conductor most at mid-span and the angle of twist will become progressively smaller going from mid-span towards the supports. Bundled conductors have higher rotational stiffness than single conductors which leads to differences in ice accumulation and shedding. Anti-torsion devices like counterweights, detuning pendulum or spacers can reduce the amount (and shape) of snow deposit and even accelerate the snow shedding. As a consequence the observed twist, as illustrated on FIG. 7, depends on the span's configuration (single conductor, bundled conductors, interphase spacers, detuning pendulums, etc.) and depends on measurement sensor location along the span.

[0059] As vibration-based sensor as detailed in U.S. Pat. No. 8,184,015 B2 measures three-axis (static and dynamic) vibrations of conductor, this twist can be measured/observed. This is an additional information that can be advantageously used in the determination of potential ice accretion (see FIG. 7).

[0060] The method according to the invention has several advantages over the methods proposed in the art since sag and icing is simultaneous monitored without need of any, otherwise unavailable and/or uncertain, data or uncertain models.

REFERENCE SYMBOLS

[0061] 1. overhead power line cable (without deflection) [0062] 2. span [0063] 3. pylon [0064] 4. autonomous sensing device [0065] 5. processing unit [0066] 6. temperature measurement [0067] 7. electric current measurement [0068] 8. internal tension sensor device [0069] 9. mechanical tension measurement [0070] 10. cavity [0071] 11. strain gauge [0072] 12. plug for power supply and tension data recovery [0073] 13. external housing [0074] 14. internal housing [0075] 15. insulation [0076] 16. energy storage means (battery, capacitors) [0077] 17. cable portion deflected by internal sensor device

REFERENCES

[0078] [1] Min Zhang, Yimeng Xing, Zhiguo Zhang and Qiguan Chen, Design and Experiment of FBG-Based Icing Monitoring on Overhead Transmission Lines with an Improvement Trial for Windy Weather, Sensors 2014, 14, 23954-23969; doi:10.3390/s141223954 [0079] [2] F. Kiessling et al, Overhead Power Lines, Planning, Design, Construction, Springer, 2003. [0080] [3] Moser, M. J., George, B. Zangl, H. Brasseur, G., Icing detector for overhead power transmission lines, Instrumentation and Measurement Technology Conference, 2009. I2MTC '09. IEEE, pp 1105-1109. [0081] [4] http://www.combitech.se/ [0082] [5] http://www.powerlimit.be/ [0083] http://www.powerlimit.be/files/upload/HF32.pdf [0084] [6] https://www.tensitron.com/ [0085] https://www.tensitron.com/product/acx-1 [0086] [7] http://www.briceaust.com.au/DillonQCTM [0087] [8] http://www.cooperinstrurnents.com/best-sellers/wire-tension-meters/ [0088] [9] http://russianpatents.com/patent/220/2209513.html