Abstract:
A method permits calibration of a current sensor having a conductor that comprises at least two conductor branches electrically connected in parallel. The method comprises passing a predetermined electrical current through the conductor, measuring a fraction of the current that passes through a measured conductor branch, which is one of the two conductor branches, comparing the measured current against a predetermined target current, trimming a calibrating conductor, which is one of the at least two conductor branches, the trimming taking place when said measured current and said predetermined target current are not equal.

Description:
BACKGROUND OF THE INVENTION 
     The present invention relates generally to sensing electrical current on a current path, and more specifically, to calibrating a current sensor by trimming target surfaces along the current path. 
     Many products require sensing electrical current in a current path to provide the necessary input for electronic control devices. The accuracy of the current sensing and current measurements may be affected by variations in resistance at the current path, variations at jointed areas, even material changes in grade and density of the conductor material. The sensor itself may introduce errors contributing to inaccuracies. For example, when using a current transformer (CT), inherent variations from one CT to another can affect the transformer&#39;s accuracy. Consequently, variations with respect to different CTs necessitate setting tolerance parameters to accommodate these variations. 
     In circuit breaker applications, the current is measured by installing a CT that is directly affected by the current flow through the conductor. The electrical current may be measured by passing only a portion of the current through the CT or by passing all of the current through the CT. A portion of the current may be measured as representative of the whole current. To measure a portion of the current, a current bridge or current divider may be used. 
     Current dividers and current bridges enable one to determine the magnitude of a large current by dividing the current into parallel flows, and measuring only a fraction of the total current, i.e., by measuring the current through one branch of the conductor. The current measurement is then divided by the fraction of current through that conductor branch to determine the total current in all parallel conductor branches. 
     Current dividers are a useful means of measuring a large current or current through large conductors, however they have not greatly overcome the inherent inaccuracies of current sensors discussed above. 
     Therefore, it is desirable to calibrate current sensors to overcome the manufacturing variations in conductors, sensors, and associated electronics. 
     SUMMARY OF THE INVENTION 
     The above discussed and other drawbacks and deficiencies are overcome or alleviated by a method for calibrating a current sensor having a conductor that comprises at least two conductor branches electrically connected in parallel. The method comprises passing a predetermined electrical current through the conductor, measuring a fraction of the current that passes through a measured conductor branch, which is one of the two conductor branches, comparing the measured current against a predetermined target current, trimming a calibrating conductor, which is one of the at least two conductor branches, the trimming taking place when said measured current and said predetermined target current are not equal. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     Referring now to the drawings, wherein like elements are numbered alike in the several figures: 
     FIG. 1 is the top view representation of a first embodiment of a current sensor configuration; 
     FIGS. 2 and 3 are first and second cross section views of the current sensor configuration of FIG. 1; 
     FIGS. 4 and 5 are profile and plan views, respectively, of a second embodiment of a current sensor configuration representation of a current transformer-conductor utilizing a bridge; and 
     FIG. 6 is a schematic representation of an automated system for calibrating and trimming sensor configuration. 
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     In the present invention, a conductor is divided into at least two branches, and the current in one branch is measured to determine the fraction of the total current in that branch. One of the branches is then trimmed by removing a portion of the conductor material until the fraction of current in the branch being monitored reaches a target. This method is useful in calibrating the amount of trimming necessary to provide the target amperage, as well as providing a means to achieve the desired trimming. 
     FIG. 1 shows a top view of a current sensor-conductor assembly  10 , which includes conductor  12  comprising conductor branches  26  and  28 . Conductor  12  extends between opposite terminal ends  24 , and may be placed in a power distribution circuit or electric device such as a circuit breaker. For example, terminal conductor  12  may be connected between load and power line straps in a circuit breaker to provide current sensing capability therein. Branch conductors  26  and  28  are electrically connected in parallel. A current sensor  18  is fixed at a predetermined point on the conductor branch  26 , hereinafter referred to as a “measured conductor branch” because the current therein is measured by current sensor  18 . Current sensor  18  is shown as a current transformer, but may be any type of current sensor, such as a Hall-effect sensor. The current passing through measured conductor branch  26  causes a resultant voltage in secondary windings  16 , and the output thereof is measured. 
     FIGS. 2 and 3 show cross section views of the current sensor-conductor assembly  10  taken along lines  2 — 2  and  3 — 3 , respectively. Referring to conductor branch  28  by the subscript “A” and measured conductor branch  26  by the subscript “B,” the relationship between the currents flowing in the respective conductor branches depends on cross-section areas A and B (FIG. 3) of conductor branch  28  and measured conductor branch  26 , respectively, as will now be explained in detail. 
     The currents paths may be described using Kirchhoff&#39;s current law, which states that the total current entering a node is equal to the total current leaving that node. Referring to FIG. 1, the current I represented by arrow  32  entering node  20  is equal to sum of current i A  in conductor branch  28  and current i B  in conductor branch  26 , represented mathematically as: 
     
       
           I=i   A   +i   B .  (1) 
       
     
     Because measured conductor branch  26  and conductor branch  28  are connected in parallel, they have the same or virtually the same voltage across them. Since the voltage across both conductor branches is the same, the fraction of the total current I passing through measured conductor branch  26  depends upon its resistance compared with resistance in conductor branch  28 . Because ν A  =ν B  and voltage =current times resistance (V=IR), 
     
       
           i   A   r   A   =i   B   r   B .  (2) 
       
     
     Solving for i A  gives:                i   A     =       i   B              r   B       r   A       .               (   3   )                                
     Resistance, r, is given by              r   =     ρ        l   A               (   4   )                                
     where ρ=resistivity, l=length of the conductor, and A=the cross-section area of the conductor. Substituting Equation 4 for r A  and r B  in Equation 3 above gives:                i   A     =         i   B              ρ   B            l   B       A   B             ρ   A            l   A       A   A             ≡       i   B                ρ   B          l   B          A   A           ρ   A          l   A          A   B         .                 (   5   )                                
     Assuming the resistivity and lengths of conductor branch  28  and measured conductor branch  26  are substantially the same, these values may be canceled. The trimming process discussed below can compensate for actual differences in the lengths and material resistivity. For configurations where there are great differences in material, lengths, etc., the equal signs in the following equations can be replaced with proportionalities since the materials and lengths of the conductor branches are constant. Canceling gives:                i   A     =       i   B              A   A       A   B       .               (   6   )                                
     Because i A =I−i B  (from Equation 1),                  I   -     i   B       =       i   B            A   A       A   B           ,   or           (   7   )               I   =         i   B          (     1   +       A   A       A   B         )                     or             (   8   )                 i   B     =     I            A   B         A   B     +     A   A         .               (   9   )                                
     Thus, it can be seen that the measured current i B  depends at least in part on the total current and the cross-section areas of the conductor branches. 
     The present invention may be adapted to accommodate a system having any number of conductors by combining a variety of current dividers in relationship with one another. Additionally, the foregoing description of conductor  12  is provided as an illustration and is not intended as a limitation. It is anticipated that current dividers of other configurations may be devised that fall within the scope of the present invention. 
     For example, FIGS. 4 and 5 illustrate a profile and top view, respectively, of another embodiment. This embodiment differs from the previous embodiment shown in FIGS. 1 through 3 in that the conductor  12  is not split. Instead, this embodiment has a measured conductor branch formed from as bridge-CT assembly  56  that allows a fraction of the total current to travel through it. 
     To compensate for manufacturing variances in the conductor and sensing circuitry, one of the conductor branches, hereinafter referred to as a “calibrating conductor branch,” is trimmed by selectively removing some of the conductor material, thereby varying the cross section area of one conductor branch and adjusting the ratio of current passing through each branch as generally described in Equations  8  and  9  above. In one embodiment (not shown), the measured conductor branch is the same conductor branch as the calibrating conductor branch. In the embodiments shown in FIGS. 1-4, the measured conductor branch is distinct from the calibrated conductor branch. 
     The trimming or calibration operation described above can be accomplished using an automated system such as that shown in FIG.  6 . The automated trimming system  150  shown in FIG. 6 shows three subsystems. The power subsystem includes the power source  154 , which is directly connected to the conductor  12  at each end by leads  172  and  170 . The power source  154  is controlled by the controller  164 . 
     The processing subsystem includes a controller  164  and associated input and output devices. Controller  164  is in communication with XYZ Servo Control  168 . Controller  164  receives input from clamp-on ammeter  156  and the millivolt drop meter  166 . Controller  164  also receives current information from the current sensor  18 . Use of particularly the clamp-on ammeter  156  and the millivolts drop meter  166  is not part of the invention, as any person skilled in the art would recognize alternative means of measuring the current and voltage across conductor  12 . These two devices send a constant flow of feedback information to the controller  164  so that the appropriate trimming program can be implemented. The selected trimming program is sent to the variable speed control  162 . The variable speed control  162  drives variable speed motor  158 . A variable speed motor will advantageously accommodate a variety of conductor materials and feed speeds. Attached to the motor  158  is a milling tool  160  by way of a rotating shaft. 
     The conductor-current transformer assembly is attached to the XYZ table  152  by way of an insulated fixture and conductor clamping apparatus  170 . Insulated fixture and conductor clamping apparatus  170  is attached to the XYZ table and is made from materials selected for fixing and clamping that will simulate the conductor positioning of the electric device employed by the circuit breaker in which the current sensor-conductor assembly  10  will be installed. 
     Once the conductor  12  is attached to XYZ table  152  by insulated fixture and clamping apparatus  170 , the inputs are installed and connected to controller  164 . The CT output should be connected to controller  164  using an appropriate type of low resistance connector. 
     A preferred operation of the automated trimming system will now be described. First, the controller instructs power source  154  to direct 0.5X current through the conductor, X representing the rated current of the circuit breaker or other electric device in which the conductor will be used. Controller  164  then records the data from the meters as well as current sensor  18 . Controller  164  next directs power source  154  to pass 2.0X current through conductor  12 . Again, controller  164  will store data collected from the various inputs described above. 
     Controller  164  then calculates a trimming path to remove material from one of the conductor branches, reducing its cross-section area, thereby increasing its resistance and lowering the fraction of current carried by that conductor. The amount of material to be removed is determined based on the stored data, and will remove an amount of material that satisfies both the high and low levels of current, so that a desired fraction of the total current is sensed and reported by the current sensor. For example, if the current sensor measures 50 amperes of current, and the conductor-sensor has been calibrated to measure one-half the total current, then there should be a total of 100 amperes flowing through the conductor. This calculation will accommodate variations in the conductor as well as in the sensing electronics, including the transformer or other sensing device used. 
     Once trimming path is determined, the processor instructs motor  158  to rotate at a predetermined speed and instructs XYZ servo control  168  so that tool  160  follows the calculated trimming path. Referring to FIG. 1, the trimming path may remove some material from either or both areas  27  of conductor  12 , indicated by the dashed line. Referring to FIG. 5, material from conductor  12  may be removed from either or both areas  54 , also indicated by a dashed line. Material could also be removed from the conductor with a current sensor, to direct more current to non-sensed conductors. So long as material is removed from one conductor branch, and not from a point of a conductor downstream or upstream from where the branches are divided, the fraction of electrical current in all conductor branches will be varied as described above. 
     Controller  164  may be programmed to make two passes at conductor  12 , the first being a “rough pass,” staying away from the ideal trim target of the initial calculations. For example the initial trim path can be calculated to trim 5% shy of the mean target. In an alternative embodiment, the initial trim path is calculated to trim 25% shy of the mean target. The conductor can then be measured at the 2.0X level, 1.0X level, or both the 2.0X and 0.5X levels to confirm the final trimming parameters. This two-step process may be advantageous to prevent heat or other factors from the machining to affect the measurements. 
     So that an accurate trimming path can be calculated, the system can be informed of the edge of the conductor being trimmed by prior measurement of the conductor, or by a continuity reading between the cutter and the conductor, thus providing a feedback signal to the processor as to the exact location of the conductor with respect to the cutter. 
     During the actual trimming process, the controller may permit monitoring of the inputs to the processor in real-time, for example, by supplying a 0.005X current through conductor  12 . After the final trim, the measurement is taken again at both levels of current (2.0X and 0.5X), and if in the target range, the assembly is marked or tagged as calibrated so it may be used in the product. 
     While preferred embodiments have been shown and described, various modifications and substitutions may be made thereto without departing from the spirit and scope of the invention. Accordingly, it is to be understood that the present invention has been described by way of illustration and not limitation.