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ISSN 1843-6188 Scientific Bulletin of the Electrical Engineering Faculty – Year 10 No. 1 (12) RADIOFREQUENCY DISTURBANCES RADIATED AND INJECTED IN A POWER LINE BY A HIGH VOLTAGE EQUIPMENT Marian COSTEA, Ileana BĂRAN Politehnica University of Bucharest E-mail: [email protected] connected to them: insulators strings, line fittings, switching equipment, surge arresters etc. For medium voltage lines having low values of the surface voltage gradient on phase conductors, the disturbing radio-frequency level of the line is practically determined only by the equipment connected to them. Basically, equipment connected to the line act as high-frequency current sources. The superposition of high-frequency currents injected by each of the n-contributors (conductors and equipment) determines the overall disturbing effect of the line. As the individual emissions are independent, the resulting interference current can be computed by applying the law of quadratic summation of non-correlated signals. If the disturbing level of an overhead line can be measured by means of the radiated radiofrequency field, the estimation of each component’s contribution (e.g. insulation string) is not easy to perform. CISPR 18-2 standard establishes the general framework for making such a determination and IEC 60437 standard specifies the method for insulator strings. Contribution to the overall overhead line radio-frequency disturbing level of given equipment is assessed measuring the conducted disturbances generated by this in a standard circuit that simulates the wave impedance of the line and in a shielded laboratory, which can provide a low background noise. The solution is subject to question in several respects. In addition, the test implies a number of precautions that make it expensive (not only because of the requested time to perform it). This paper aims to investigate the correlation between the radiated and the injected disturbances generated by equipment connected to a line. Rationale of this approach lies not only in knowing how a given equipment contributes to the overall disturbance level of the overhead line, but also to propose a simple experimental method for its evaluation. Finding a correlation between electrical quantities due of corona discharge and other not yet standardized quantities or physical records (such as UV images) was a concern also for other works [2-3] in order to offer new tools for investigation or diagnosis. Abstract: The paper attempts to identify correlations between radiated disturbances generated by high-voltage equipment and the conducted disturbances injected by the same equipment into an overhead line to which it is connected. Nowadays, according to relevant standards, the radio frequency disturbances caused by such an equipment are evaluated by means of a specified voltage across a resistor which simulate the wave impedance of the line although the overall effect is evaluated in the vicinity of the overhead line by means of radiated disturbances. This voltage is measured using an EMI receiver with quasi-peak detector. Rigorous experimental arrangement is described by the standards and measurements must be done in a shielded high voltage laboratory. Because RIV measurement procedure specified above, is relatively complicated, the authors try to determine the correlation between the conducted and radiated disturbances of two insulator sets in order to identify a new method of measuring the radiofrequency disturbance level of high voltage equipment or at least one pre-test methods, useful for comparing equipment of the same type. Keywords: radio interference voltage, insulator string, quasipeak detector, high frequency electric field probe 1. INTRODUCTION Overhead lines are sources of low frequency radiated disturbances represented by power frequency electric and magnetic fields in normal operation conditions and also radio frequency disturbance sources due to corona discharge and associated phenomena (micro-sparks in areas of contacts between insulating materials and metal fittings or discharges due to imperfect contacts). High frequency disturbing level of an overhead line is theoretically estimated through calculations and then evaluated by measurements as described in CISPR 18-1 Publication [1]. To perform measurements in situ, a magnetic field antenna is used and its location is also specified versus the position of lateral conductors. Use of these antennas is justified by the fact that the magnetic field component near the line is more stable, while the electric field component varies quickly, due to primary source character (electric dipole type). This source is the discharge on the conductor surface or between different components of the equipment. Radio-frequency magnetic field component is determined by adding the contributions of all high-frequency currents travelling along conductors. These currents are injected by phase conductors themselves and by equipment 2. CONDUCTED RADIO-FREQUENCY DISTURBANCES GENERATED BY STRING INSULATORS Various national standards set limits, expressed in dBµV, for the radio-frequency disturbances generated by equipment. The total interference current responsible for 77 Scientific Bulletin of the Electrical Engineering Faculty – Year 10 No. 1 (12) the radio frequency disturbances caused by the equipment, fittings and phase conductors (Ioverall) is adequately expressed as quadratic summation of high frequency (HF) currents, Ii , individually injected into the line by each of the overhead line’s components, [4]: I overall m n p kmnp k x2 k y2 k z2 w h l 2 f mnp n I i2 . kmnp 2 2 c0 2 2 c0 m n p 2 w h l 2 (5) 2 (6) where, in addition to previously defined geometric dimensions, c0 is the wave propagation speed in air. If in expression (5) c0 = 300 m/μs and geometric dimensions are given in meters, resonant frequencies result in MHz. The modes spectrum in terms of cavity’s natural frequencies is represented in Figure 1. For the TE-mode m and n are allowed to be 0 but p is not allowed; for TM-mode neither m nor n is allowed to be zero but p is allowed to be 0. Standing waves that occur in the resonant cavity will be characterized by the maximum electric field in the center of symmetry of the enclosure and maximum values of magnetic field close to metal walls. (1) i 1 Assuming that the total interference current of a line span is determined by a relationship as follows, 2 2 , I overall I span I string ISSN 1843-6188 (2) where Ispan is the interference current due to conductors and Istring the current generated by insulator strings, the condition that the overall disturbance level of the line expressed as PLoverall 20 log 10 I overall I ref 1 µA [dB], (3) to be only slightly modified by the presence of insulator sets is given by the condition I string 1 3I span (4) in which case the additional contribution of the insulator string (for a given disturbing level due to conductors) is only approx. 0.5 dB. Medium voltage overhead lines have very low values of electric field on the conductors’ surface, making it practically impossible the occurrence of corona discharge. In this case, the disturbing of the line is determined solely by the contribution of equipment connected to the line. Figure 1. Natural frequencies for the first 16 TE and 12 TM modes of the testing hall. 3. THE EXPERIMENTAL ARRANGEMENT Theoretically, there are an infinite number of resonant frequencies, but only some of them (usually having the lowest frequencies) may present technical interest. For the testing hall, the lowest TE-mode or dominant mode is TE101 with a wavelength of 36.1 m (frequency 8.3 MHz). The next mode is TM110 (the lowest TM-mode) with a wavelength of 24.0 m (frequency 12.5 MHz). Both frequencies are greater than the measuring frequencies (0.5 MHz and 1 MHz) recommended by CISPR 18-2 for RIV tests. Therefore, the occurrence of a resonance phenomenon on the measuring frequencies specified above is not to be expected. Moreover, the modes of propagation in the laboratory are surely affected by the presence of other existing equipment, not only the high-voltage AC installation used during the experiments. Experimental arrangement was build as for classical radio interference voltages (RIV) test but simultaneous and comparative measurements were performed using both an EMI receiver, to measure the conducted disturbances and a high frequency electric field probe. The last measuring system was placed in different positions in respect to the source of disturbance, i.e. insulator string. Measurements were made in a shielded laboratory, having the dimensions: length l = 42 m, width w = 20 m and height h = 15 m. As known, within a shielded enclosure resonance phenomena may occur, depending on the geometry of the enclosure. Thus, a parallelepiped enclosure with width w (placed parallel to the x direction), height h (parallel to y), and length l (parallel to z) h < w < l, can be regarded as a rectangular cavity. In a rectangular cavity, harmonic electromagnetic fields can exist only as standing waves in all the three directions of the space, with angular wave numbers kx = m/w, ky = n/h, kz = p/ℓ m, n and p being integers (0 included) which customize the propagation modes for the transverse electric-TE or transverse magnetic-TM field. The natural angular wave number of the cavity and the natural (or resonant) frequency are given by 3.1. The standardized RIV measuring circuit The structure of RIV measuring circuit according to CISPR 18-2 Publication can be seen in Figure 2. The requirements for the main components of the circuit are: the resistive load RL which simulate the surge impedance of the line must have 300 Ω and it is divided into two resistors. In order to adapt the transmission line to the input resistance of the receiver, Rm (= 50 ) the condition R1 = Rm = Zc must be fulfilled (Zc is the surge 78 Scientific Bulletin of the Electrical Engineering Faculty – Year 10 No. 1 (12) ISSN 1843-6188 impedance of the coaxial cable). Consequently, RL = R2 +R1/2; the impedance of the high voltage arm of the measuring circuit, ZS, could be either an L–C series circuit, tuned to fm the measuring frequency recommended by the above specified standard, or a coupling capacitor. This last solution (a most practical one), was adopted in the High Voltage Laboratory of UPB where the experiments were performed. If the solution with coupling capacitor is adopted its capacitance must be at least five times greater than the capacitance to earth of both EUT and high voltage connections; the total impedance of the measuring circuit must have the magnitude Z s RL 300 40 , and the phase 200 ; the resistor R1 is transmitted through the coaxial measuring cable, adapted at both ends, to the measuring set. The circuit characteristics are chosen such as the largest part of disturbance currents id to be forced to pass through the impedance Zs and therefore through the measuring resistance. Finally, the measuring values (Vm) must be reported considering that the interference current id is injected only in the simulated surge impedance of the line and through the self-capacitance of the tested equipment, Ce , to the ground. Consequently, the final result of such a test must be calculated using the expression [4]: in order to suppress the high frequency currents to the high voltage test transformer, a rejection filter, F, must be installed. It could be either an L – C parallel circuit, tuned to fm or an inductor damped by parallel resistors. It’s insertion attenuation at fm must be greater or at least equal to 35 dB, in both directions; where Vm and V are voltage values corresponding to the reference measuring voltage Ur at EUT terminals. The term A expressed in [dB/μV] represents the attenuation due to the testing circuit. The term must eliminate the influence of the real testing circuit compared to the ideal one which contains only the resistive load RL. Regarding the correction factor R, it expresses the fact that the read voltage Vm is not the drop voltage value across the resistance RL = 300 Ω, as stipulates the standard, but across the equivalent resistance R1/2. It is computed as: R (8) R 20 log 10 L [dB]. R1 /2 is V [dB/μV/300Ω] = Vm[dB/μV] + A[dB/μV] + R[dB] Co. F im ZS Cd EUT id ie Tr. D Ce Measuring receiver R2 MS L3 R1 Cc. (Zc) (7) Rm If the term R is easy to calculate, the attenuation A due to the testing circuit must be evaluated experimentally following a prescribed procedure. The procedure involve two steps: in the first one, a constant current of about 50 μA, at the measuring frequency fm, is injected in the whole non-energized testing circuit (as presented in Figure 2). The value of voltage, expressed in [dB/µV] and recorded by the measuring set is denoted as V1. In the second step, the same current is injected only in the EUT and the measuring resistance, all others elements being disconnected. The new value of disturbance level, V2 is recorded. Now, the attenuation of the testing circuit could be calculated as the difference between the two measured values: (Vm ) AC voltage test measuring system Figure2. RIV measuring circuit: EUT – equipment under test, Tr. – high-voltage test transformer, D –a.c. voltage divider, Co. – corona free connection, simulating the line conductor, Cc. – coaxial cable; F – low pass filter; Zs – coupling impedance (high pass filter). in the shielded box containing the resistors R1 and R2 an inductance L3 is also disposed, which play the role of a final short-circuit to earth for the residual power frequency component. His value must be equal or greater than 1 mH, at frequency fm . For the measuring frequency, CISPR 18-2 Publication stipulates a reference value f0 of 0.5 MHz or 1 MHz, with a margin of ± 10 % for the actual measuring frequency fm , in order to find the lowest background noise. The measuring set, a receiver with a quasi-peak detector, must comply with the specifications of CISPR 16-1 Publication. The voltage reference value Ur , for which the RIV level is reported at the final of test procedure is equal to 1.1 U n / 3 , where Un is the rated voltage of the equipment under test (EUT). A [dB/ μV] = V2 [dB/ μV] – V1 [dB/ μV] (9) The attenuation A reaches a value of only few dB/μV, generally depending on the testing circuit’s dimensions. The classical testing procedure consists of the following steps, [4]: first, the voltage applied to EUT is increased up to 1,1·Ur and this value is kept at least 5 minutes; then the voltage is decreased in steps of about 0,1·Ur , up to 0,3·Ur; after that the voltage is increased in steps, up to 1,1·Ur , and this value is kept for one minute; follows a new decrease of the voltage in steps of about 0,1·Ur , up to 0,3·Ur; For each value of the applied voltage the Vm value of RIV is recorded. The last series of measurements is used to evaluate the RIV level (V) at the voltage reference value Ur . 3.2. Circuit calibration As it can be seen in Figure 2, the interference current id , generated by the corona discharge and other micro discharges at the EUT, is divided into three components: a current through the measuring impedance, im , a current to ground through the self-capacitance Ce of the EUT, ie , and a current through the testing voltage transformer, is (limited by the rejection filter F). The voltage drop across 79 Scientific Bulletin of the Electrical Engineering Faculty – Year 10 No. 1 (12) insulator set. In this case the electric field probe was located in different positions (P0 to P4 in figure 4). 4. EXPERIMENTAL RESULTS y The classical procedure to asses the radio interference voltage of a high voltage equipment following CISPR publications, described above, is a time consuming one, first of all because of the circuit calibration procedure. Other difficulties, except the costs of measuring system, are: to read the values of RIV (numerical or analogical displayed) for certain voltages where the corona discharge is very unstable; to ensure a low background noise level during the tests. Regarding the radiofrequency emissions, the behavior of the equipment under service conditions could differ from that evaluated, in reproducible conditions, in the high voltage laboratory. An alternative and simple method which could be adopted in order to asses the radiofrequency emissions of high voltage equipment is the recording of high frequency electric or magnetic field radiated in their neighborhood. The experimental arrangement could be the same used for a classical RIV test, in order to ensure the same impedance for high frequency currents or could be even simplified. For the experiments described in this paper, the high voltage circuit was kept as for a classical RIV test. The main dimensions of the simulated line and the distances where the field probe was disposed are presented in Figure 3. Corona free connexions (U) High voltage measuring system Unlike overhead line-conductors which have their elementary sources of interference distributed over very great length, a piece of substation equipment, an insulator string or different metallic fittings, can be considered as a localized generator of interference. During an indoor test, the HF current injected by the EUT in the testing circuit is governed by the number and amplitude of the elementary pulses generated per unit time, while his form depends mostly on the characteristics of the testing circuit. The HF current generated by the EUT and collected by the corona-free connection is the source of the radiated field. The frequency spectrum of the emitted field depends on the HF-current spectrum but it is difficult to establish a direct relation based on the antennas and propagation theory due to the nonlinear aspects of the emission and the stochastic character of the HF-current. When judging the results we must keep in mind the fact that the electric field probe used in this research is an isotropic probe. For a monochromatic incident electric field expressed as the sum of three orthogonal components High frequency electric field measuring system d 7.5 m P1 Figure 4. Locations of the electric probe (P0 …P4). Cb = 1.85 nF (Vm) P4 P2 P0 5m Insulator set (EUT) Zm = 300 x 45 6.2 m 2× 600 kV P3 insulator set Rejection filter (L = 20 mH) 148 pF ISSN 1843-6188 h Ei r , t RIV measuring system n x, y , z Figure 3. The main components of the experimental arrangement for combined measurements, RIV and radiated electric field. Eni r cos t n r nˆ (10) E r , e nˆ Re E n r , e jt i jt i n n n an isotropic probe placed in P( r ) will have a response proportional to the Hermitian magnitude (or effective value) of the complex vector field defined in [6] as: The measurements were performed using a high frequency electric field probe, in a 300 kHz-3 GHz range and parallel records (RIV and radiated electric field) were recorded. The radiated field measuring systems was adjusted to display the average or maximum average value of electric field (in a time period of 4 sec.). The testing objects were a 110 kV composite insulator set and then a toughened glass insulator set both having the same rated voltage. The experimental arrangement was carried out according to IEC 60383-2 Publication [5]. The length of the conductor used to simulate the line was 6 m and the clearance from the floor of laboratory was 6.2 m. The electric probe was placed at 1 m above the laboratory floor at different locations denoted as P0 to P4 in figure 4. The first series of tests were performed on the composite insulator set. The electric field probe was located in P1. The second series of tests were performed on the glass i E Ex Ex Ey Ey Ez Ez i i* i i* i i* (11) In the relations above, the subscripts indicate rectangular components and the character (*) the complex conjugates. The Hermitian magnitude is independent of the orientation of the probe with respect to the field thus, the probe is isotropic. Note that the Hermitian magnitude of the complex field is an upper bound on the instantaneous field: Ei r , t E r , i (12) On the other hand, for frequencies up to 1 MHz, an object placed up to about 10 m from an electromagnetic field source is located inside “near electromagnetic field” zone 80 ISSN 1843-6188 Scientific Bulletin of the Electrical Engineering Faculty – Year 10 No. 1 (12) (the wavelength corresponding to the frequency of 1 MHz is 300 m). In the near-field zone, the electric component of the electromagnetic field contains the electrostatic term (~1/R3) the induction term (~1/R2) and the radiation term (~1/R), meanwhile the magnetic component contains only induction and radiation terms. Therefore, the radiation pattern eventually established for the electric field can not be directly used to determine the magnetic field radiation pattern. The parallel measurements (RIV and radiated high frequency electric field) were performed for two frequencies, 500 kHz and 1 MHz and for the same steps of voltage recommended in [4]. 4.1 RIV measurements RI level (given by the average value detector of the EMI receiver) versus the applied voltage is plotted in Figure 5 for the composite insulator set and in Figure 6 for the glass insulator set. For the composite insulator set, the RIV exhibits an exponential growth with the applied voltage, starting from a constant level (35.2 dB for 500 kHz and 26.7 dB for 1 MHz) and increasing quickly as the voltage overcomes the threshold for the initiation of corona or micro discharges on metallic parts of the insulator set. The voltage dependency of RI level for the glass insulator set follows a different pattern, the curve fitting the experimental results being a sigmoid 4 parameter function, an S-shaped function which displays a RI level progression from a small, stable value (26.2 dB at 500 kHz and 23.6 dB at 1 MHz) to an other higher stable value (30.0 dB at 500 kHz and 28 dB at 1 MHz). For tests performed at the same measuring frequency on both insulator sets, the lower stable level, which is due mainly to the inherent electromagnetic noise existing even inside a shielded hall such as the HV Laboratory, differs, pointing out the noise variability. But, each of the two insulators sets exhibits a specific pattern of RIV growth when the applied voltage reaches and than goes beyond the threshold for corona and/or micro-discharges. Figure 6. Glass insulator set RIV curves. The mentioned pattern plotted using the fitted curves displayed on Figure 5 and 6 can be observed in Figure 7. For both measuring frequencies, the RI level generated by the composite insulator set increases with the applied voltage without limitation, suggesting that the interference current, which is the source of the disturbing electromagnetic field, increases as the applied voltage is increased. The glass insulator set pattern, for both measuring frequencies, exhibits a bell-shape growth pattern similar to those presented in [7] for different substations equipments. This pattern suggests the presence of a single source becoming active after exceeding the threshold voltage and reaching a saturation value for the interference current. Figure 7. Growth pattern for RI level. The HF electric field (EF) was measured as average value over 4 seconds for both series of RIV measurements (at 500 kHz and 1 MHz) with the probe placed in point P1. The values show the same type of voltage dependency, exponential growth of the electric field with applied voltage. The results are presented in Figure 8.a for the composite insulator set and 8.b for the glass insulator set. As it can be seen, the influence of the measuring frequency, which is evident in RIV values, is difficult to asses when analyzing electric field values. Figure 5. Composite insulator set RIV curves. 81 Scientific Bulletin of the Electrical Engineering Faculty – Year 10 No. 1 (12) ISSN 1843-6188 seen in Figure 10 (points P1, P2, P3). The data series for each of the 5 locations under study have in common the RIV which, for a given value of the applied voltage, should be the same, regardless the measuring point location. The data set containing all the available RIV-values is represented in Figure 11 together with the fitted model and the 95% prediction boundaries. (a) Figure 9. HF Electric Field versus applied voltage measured in different location (P0 to P4). (b) Figure 8. HF electric field (isotropic values) for composite (a) and glass (b) insulator sets – 500 kHz and 1 MHz data. For example, in the case of the composite insulator set (Figure 8.a) the EF measured at 1 MHz rises faster with the applied voltage than the EF measured at 500 kHz. In the same time, for the glass insulator set (Figure 8.b) the HF EF seems to be frequency-independent. This behavior can be related to the structure of the electric field in the “near-field” zone, and the presence of the electrostatic, induction and radiation terms each of them exhibiting a different frequency-dependence. This issue will be approached in a further research. The results that will be presented below come from measurements done at the same frequency (500 kHz or 1 MHz). Measurements performed in point P0 to P4 with the glass insulator set, were designed to check the space distribution of the EF, as the insulator set together with the line model form a source of emission with a complicated 3D geometry. The results are illustrated in Figure 9 for the 500 kHz measurements. The points being scarce, we can only highlight some tendencies. For example, using the fitted curves we have compute the predicted values and the 95% confidence interval for the EF at 80 kV; the obtained values were represented in Figure 10 versus the distance between the center of the emission source and the measuring point. For the same applied voltage, the EF decreases as the distance between the emission source and the measuring point increases but, for the same distance the values depend on the azimuth and elevation of the measuring point as it can be Figure 10. EF predicted values for the same applied voltage (80 kV) at different locations around the emission source Figure 11. 500 kHz RIV, glass insulator string, all series. Using this results we looked at the correlation between RIV values and EF values measured in the locations P0 to 82 ISSN 1843-6188 Scientific Bulletin of the Electrical Engineering Faculty – Year 10 No. 1 (12) P4, disposed around the tested equipment. The scattering plot for 500 kHz measuring frequency is displayed in Figure 12. A summary of correlation coefficients and their 95% confidence intervals are given in table 1. 6. REFERENCES [1] * * * C.I.S.P.R. Publ. 18-1 (1982): Radio interference characteristics of overhead power lines and high voltage equipment. Part 1: Description of phenomena. [2] Cardoso J., Filho O., Levy, A., Correlating Digital Measurements of Electrical Quantities and Related Images on Micro Discharges, 2008 Intl. Conf. on High Voltage Engineering and Application, Chongqing, China, November 9-13, 2008. [3] da Frota Mattos, M. A, Biagioni, P. H., Bassi, W., Electric field measurement on time domain generated by corona on insulators on distribution systems, 1996 IEEE Intl. Symp. on Electrical Insulation, Montreal, Canada, June 16-19,1996. [4] * * * C.I.S.P.R. Publication 18-2 (1986), Am. 1 (1993): Radio interference characteristics of overhead power lines and high voltage equipment. Part 2: Methods of measurement and procedure for determining limits. [5] * * * IEC 60383-2 (1993): Insulators for overhead lines with a nominal voltage above 1 000 V –Part 2: Insulator strings and insulator sets for a.c. systems – Definitions, test methods and acceptance criteria. [6] Wacker F, Bowman RR, Quantifying hazardous electromagnetic fields: Scientific basis and practical considerations, IEEE Trans. Microwave Theory Tech., 1971, 19(2): 178-187. [7] CIGRE SC36-WG01, Interferences produced by corona effect of electric systems. TR 20, 1974. Table 1 RIV – Electric Field correlation, 500 kHz data Correlation Lower Upper Test Point Coefficient Limit Limit Value P0 0.9580 0.7797 0.9926 0.0023 P1 0.9769 0.8736 0.9960 0.0002 P2 0.9669 0.8229 0.9942 0.0001 P3 0.9860 0.9218 0.9976 0.0001 P4 0.9759 0.8682 0.9958 0.0001 The last column contains the probability of getting a correlation as large as the observed value by random chance when the true correlation is zero. The high values for the correlation coefficients and the very low test values confirm the existence of an important deterministic component when evaluating the dependency between the electric field and the RIV. Due to the anisotropy of the emission source, this dependency is also a function of the position in space and will be investigated in further researches. Figure 12. Correlation between RIV and HF electric field. 5. CONCLUSIONS The measurement procedure which must be applied to asses the radio interference voltage due to high voltage equipment and described in the CISPR standards is with no doubt expensive and time-consuming. On the other hand the instability of displayed results for certain values of applied voltage make difficult the task to record them and to conclude about the behavior of the object under test. A simple, cheaper and saving time method could be the recording of radiated field components around tested object using high frequency field probes in a well defined electromagnetic environment such as a shielded high voltage laboratory. The first results are promising, the correlation between radio interference voltage and radiated electric field was proved, but more experiments are still necessary to refine this alternative method. 83