Molecular and Quantum Acoustics vol. 26, (2005) 35 RECOGNIZING PARTIAL DISCHARGE FORMS MEASURED BY THE ACOUSTIC EMISSION METHOD USING THE SPECTRUM POWER DENSITY AS A PARAMETER OF THE ARTIFICIAL NEURON NETWORK Tomasz BOCZAR, Sebastian BORUCKI, Andrzej CICHOŃ, Marcin LORENC Technical University of Opole, Faculty of Electrical Engineering and Automatics, Institute of Electric Power Engineering, ul. Sosnkowskiego 31, 45-272 Opole, Poland [email protected], [email protected], [email protected], [email protected] The subject matter of the paper refers to the next stage of the research work connected with the improvement of the acoustic emission (AE) method used for the evaluation of partial discharges (PDs) generated in paper-oil insulation systems of high-voltage power appliances. The paper presents research results referring to use of artificial neuron networks (ANN) for recognizing basic PD forms which can occur in paper-oil insulation weakened by aging processes. Describe systems of spark-gaps for modeling basic PD forms and a system for registration of acoustic signals generated by the assumed PD forms. Next, based on the signals registered and using the power spectrum density (PSD), the analysis of the effectiveness of recognition of the particular PD forms by the implemented neuron network was carried out. 1. INTRODUCTION The research work on the use of the AE method for the evaluation of the condition of insulation systems of power appliances began in late 60s of the twentieth century [12, 13]. At present this method constitutes a significant complement of measurement methods used in diagnostics of insulation systems. It provides information on the existence, size, and first of all on the place of PD occurrence, which cannot be obtained by using other methods. In recent years the development of the AE method has been caused mainly by the improvement of the systems that enable the measurement and analysis of the AE signals and in which the latest achievements of digital electronics and computer technology are used [3, 14]. Currently the problem is more and more often not the measurement taking of the AE generated by PDs, but 36 Boczar T., Borucki S., Cichoń A., Lorenc M. a proper analysis and interpretation of the results obtained, and in consequence, a proper evaluation of the phenomena under study. The subject matter of this paper refers to one of the aspects of the analysis of the signals registered, that is a correct and effective recognition of the AE signals generated by basic PD forms. The AE signals registered can be closely connected with basic PD forms presented in the literature [1, 2]. The particular PD forms can be identified with the type and the degree of damage of paper-oil insulation. Therefore, thanks the correct process of recognizing the AE signals registered, coming from the particular PD forms, it is possible to identify the type of damage to an insulation system and to evaluate preliminarily a damage degree of this insulation. The research work carried out so far on the correct recognition of basic PD forms has been based mainly on comparing graphic representations of the selected parameters of the AE signals registered (characteristics of the amplitude spectrum, characteristics of the power spectrum density) and on the analysis of descriptors that represent them ( shape coefficient, peak coefficient, median frequency). It caused a significant time extension of the measurement result interpretation and the evaluation of the type and degree of damage to insulation. The application of artificial neuron networks in the process of recognizing basic PD forms, through a parallel data processing, caused a considerable acceleration of this process. The research work carried out constitutes the next step in building a diagnostic system based on the AE method which enables a correct evaluation of the paper-oil insulation condition. 2. PD FORMS UNDER STUDY Due to a big complexity of processes connected with generation and propagation of the AE signals emitted by PDs an experimental procedure was applied and the experiments were carried out in laboratory conditions using spark-gaps that enable modeling of basic PD forms [6, 7, 8]. Based on both literature information and their own research work, the authors of the paper isolated the following basic PD forms: 1. discharges in the point-point system in oil, which can model PDs that occurred due to insulation damage of two neighboring windings of the transformer winding, 2. discharges in the point-point system in oil with gas bubbles, which can model PDs in gassy oil and are caused by insulation damage of two neighboring transformer windings 3. discharges in the point-plane system in oil, which can model PDs in occurring between a damaged part of a transformer winding insulation and grounded flat parts (elements of the tub), Molecular and Quantum Acoustics vol. 26, (2005) 37 4. discharges in the surface system of two flat electrodes with paper-oil insulation between them; the most common PD form occurring in the so-called triple point, in which the electrode surface touches solid and liquid dielectrics, 5. discharges in the surface system of one flat electrode and the other multipoint electrode with paper-oil insulation between them; different distribution of the electric field intensity compared with discharges in the surface system with two flat electrodes, 6. discharges in the multipoint-plane system in oil, which can model PDs occurring between a multipoint insulation damage of a transformer winding and grounded flat parts (elements of the tub), 7. discharges in the multipoint-plane system in oil with gas bubbles, which can model PDs occurring between a multipoint insulation damage of a transformer winding and grounded flat parts (elements of the tub), but in oil with gas particles, 8. discharges on particles of an indefinite potential that move in oil, which can model PDs occurring in oil containing particles of cellulose fibres formed in the process of a gradual degradation of paper-oil insulation caused by aging processes. 3. REGISTRATION SYSTEM OF THE AE SIGNALS GENERATED BY PDS The diagram of the system for PD generation and registration of the AE signals is shown in Fig. 1. For generation of the assumed PD forms there were used spark-gaps that modeled them and which were placed in a transformer tub filled with electroinsulation oil. The spark-gaps were supplied with alternating voltage of power frequency and rms voltage equal to 0.8 Up (breakdown voltage) of each of the systems. A generator (GP) was used to produce gas bubbles. It’s nozzle generating repeatable in respect of shape and size bubbles was placed under the spark-gap generating the assumed PD form in such a way that the bubbles emitted every 0.1 s on the average were directed into the space between the electrodes of the spark-gap. To model PDs on particles of an indefinite potential a modeling multipoint-plane spark-gap was used, which was immersed in electroinsulation oil containing cellulose fibers. The volume density of the cellulose fibers contained in the oil used for examination was 10 mg/dm3 on the average. 38 Boczar T., Borucki S., Cichoń A., Lorenc M. 1 WNZ WN 4 6 5 2 3 Fig. 1. Diagram of the measuring set-up (1 – transformer tub filled with electroinsulation oil, 2 – spark-gap modeling one of the assumed PD forms, 3 – generator of gas bubbles (GP), 4 – measuring transducer, 5 – amplifier and a measuring filter, 6 – computer with a measuring card) The AE signals generated by PDs were measured with a piezoelectric WD AH17 transducer by the PAC firm, which was attached to the tub. The transducer used is characteristic of a good sensitivity (55 dB ± 1.5 dB in reference to V/ms-1) and of a wide transfer band from 100 kHz to 1MHz in the range of ± 10 dB [11]. In order to amplify the measuring signal the outputs of the WD AH17 transducer were connected with the differential inputs of the AE Signal Conditioner amplifier by the firm AE System. The amplifier has a stable 40 dB amplification and the transfer band (0 ÷ 1.5) MHz. Additionally the system is equipped with a band-pass filter of the cut-off frequencies of 10 kHz and 700 kHz. The application of the above-mentioned filtering band is necessary due to the elimination of the disturbing signals occurring in the lower and upper frequency band and also the elimination of the phenomenon of aliasing [5]. For observation and registration of the AE signals measured a computer equipped with a measuring card type NI 5911 by the firm National Instrument and a specialized Virtual Bench Scope software were used. The sampling frequency equal to 2.56 MHz, which translated into a 14-bit resolution of the A/C transducer, was assumed for measurements. The time of a single measurement was 20 ms. 4. RECOGNIZING THE PARTICULAR PD FORMS BY THE ANN USING THE POWER SPECTRUM DENSITY The Matlab environment was used for implementing, teaching and testing the neuron network, used in the process of recognizing the particular PD forms. In view of the literature [9, 10] on the use of neuron networks as classifiers and the tools recognizing models, a Molecular and Quantum Acoustics vol. 26, (2005) 39 unidirectional three-layer network of the type Feed-Forward Backpropagation recognizable Network (F-F BP) was suggested. For each neuron occurring in the network structure a sigmoid activation function was determined. As the AE signal parameter during teaching and testing the network, one of the parameters of the frequency analysis signals – PSD was suggested. For each of the assumed PD forms a 100 measuring files were registered, of which part of the files were vectors of the learning set (LS), and the remaining part were vectors of the test set (TS) – teaching with a teacher. In the process of teaching and testing the network a series of simulations was carried out, the aim of which was to obtain the best recognition effectiveness possible of the assumed PD forms. The paper presents research results on the use of PSD as the parameter characterizing the assumed for analysis basic PD forms and its use for determining the recognition effectiveness of the particular PD forms by the ANN implemented. In order to determine the recognition effectiveness of the assumed PD forms by the network created, the concept of a ‘class’ was introduced, which, in this case, defines the assumed PD forms. Accepting for analysis the eight PD forms listed in the previous chapter, eight classes were defined: class 1 – discharges in the point-point system in oil, class 2 discharges in the point-point system in oil with gas bubbles, class 3 - discharges in the pointplane system in oil, class 4 - discharges in the surface system of two flat electrodes with paper-oil insulation between them, class 5 - discharges in the surface system of one flat electrode and the other multipoint electrode with paper-oil insulation between them, class 6 discharges in the multipoint-plane system in oil, class 7 - discharges in the multipoint-plane system in oil with gas bubbles, class 8 - discharges on particles of an indefinite potential that move in oil. Figure 2 shows the recognition effectiveness of the PD forms under study depending on the number of recognizable classes (Ikr) and LS size (Rcu) at a constant number of neurons of the hidden layer. 40 Boczar T., Borucki S., Cichoń A., Lorenc M. S t r [%] b) S t r [%] a) Ikr Ikr Rcu Rcu S t r [%] d) S t r [%] c) Ikr Rcu Ikr Rcu Fig. 2. Recognition effectiveness of PD forms (Skr) by the network applied depending on the number of recognizable classes (Ikr) and LS size (Rcu): a) two neurons in the hidden layer, b) 6 neurons in the hidden layer, c) 10 neurons in the hidden layer, d) 14 neurons in the hidden layer It results from the recognition effectiveness of the particular PD forms shown in Figs 2a, 2b, 2c, 2d that with the increase of the number of recognizable classes and at a constant number of vectors in LS (number of vectors LS = Rcu x Ikr) the recognition of effectiveness of the network tested drops. This dependence is shown most clearly in the figure on which the structure of the hidden layer of the ANN contains 2 neurons (Fig. 2a). In this case the improvement of effectiveness can be achieved through increasing the number of LS vectors (the increase of the LS size). This effectiveness, however, is not sufficient from the point of recognition correctness of a particular PD form, as it does not exceed 85% (8 recognizable classes and 2 neurons of the hidden layer) The other way of increasing the recognition effectiveness of the particular forms is to increase the number of neurons of the hidden layer, which can be observed while analyzing the consecutive diagrams in Fig. 2. In order to visualize better the analysis results of the influence of the number of neurons of the hidden layer on the recognition effectiveness of the basic PD forms, Fig. 3 shows the dependence of the recognition effectiveness of the particular forms on the number of neurons of the hidden layer and the number of recognizable classes. The LS size was assumed as a constant parameter of this analysis. Molecular and Quantum Acoustics vol. 26, (2005) Skr [%] b) Skr [%] a) 41 lnwu lnwu lkr lkr Skr [%] d) Skr [%] c) lkr lnwu lkr lnwu Fig. 3. Recognition effectiveness of PD forms (Skr) by the network applied depending on the number of recognizable classes (Ikr) and the number of neurons in the hidden layer (lnwu): a) Rcu = 10 b) Rcu = 20 c) Rcu = 30 d) Rcu = 40 Based on the recognition effectiveness of the particular PD forms, presented In Figs 3a, 3b, 3c, 3d, it can be again observed that with the increase of the number of recognizable classes and a constant number of neurons of the hidden layer, the recognition effectiveness decreases. The improvement of the recognition effectiveness for the particular number of recognizable classes can be achieved by increasing the number of neurons of the hidden layer, e.g. for the eight classes from Fig. 3b the recognition effectiveness, at two neurons, is about 70%. However, for the same number of classes but at ten neurons the achieved effectiveness was about 93%, which is a satisfying result. From the recognition effectiveness dependence by the network of the particular PD forms, presented in Figs 2 and 3, it results that for a constant number of neurons in the hidden layer and for a constant number of vectors in LS ( constant LS size) there exists such a point after exceeding of which there takes place a sudden drop in the recognition effectiveness by the network of the particular PD forms. It happens so because with the increase of the number of LS vectors a gradual saturation of the particular neuron weights of the network neurons takes place, which leads to the convergence loss of the network teaching process and manifests itself directly with a significant drop in recognition effectiveness. From the characteristics presented it also results that increasing the number of neurons in the hidden layer we can use a smaller LS size to obtain similar values of recognition effectiveness. The consecutive graphic interpretation of the research results obtained refers to determining the influence of the determination accuracy of the power spectrum density 42 Boczar T., Borucki S., Cichoń A., Lorenc M. (number of points averaging PSD) on the recognition effectiveness of basic PD forms. Fig. 4 shows the obtained recognition effectiveness values of PD forms depending on the LS size (number of LS vectors) and a changing number of points averaging the power spectrum density (lpu). The number of neurons of the hidden layer was assumed as a constant parameter of this analysis. S t r [%] b) S t r [%] a) lpu lpu Rcu Rcu S t r [%] d) S t r [%] c) lpu lpu Rcu Rcu Fig. 4. Recognition effectiveness of PD forms (Skr) by the network used depending on the LS size (Rcu) and a changing number of points averaging the PSD (lpu) for 8 recognizable classes: a) 2 neurons in the hidden layer, b) 6 neurons in the hidden layer, c) 10 neurons in the hidden layer, d) 14 neurons in the hidden layer The diagrams of the simulations carried out, presented in Fig. 4, confirm the results obtained earlier and made the authors more convinced that many factors have influence on obtaining the highest values possible of the recognition effectiveness of the PD forms assumed. The number of neurons in the hidden layer proved to be significant, as either too small or too big numbers of them cause that the effectiveness obtained is not at a satisfying level (below 90%). Also the number of LS vectors (LS size) is significant in the process of teaching as its too big size causes weight saturation of particular neurons, which is manifested directly with a sudden loss of stability of the teaching process and decrease of the recognition effectiveness. The results shown in Fig. 4 lead to the conclusion that 128 PSD points are sufficient for satisfying recognition effectiveness (above 90%) for 8 classes passed simultaneously on the input layer of the ANN. For a lower number of the points averaging PSD the effectiveness is lower than 90%, and the increase of the PSD points above 128 insignificantly increases the recognition effectiveness, but it causes a significant elongation of the teaching process and the process of recognition of the particular PD forms. Molecular and Quantum Acoustics vol. 26, (2005) 43 5. CONCLUSION The analysis of the research work results carried out confirms the possibility of applying an ANN for recognizing PD forms measured by the acoustic emission method. The kind of the neuron network adopted – F-F BP of a three-layer structure made it possible to recognize very well the particular PD forms. This is confirmed by the recognition effectiveness results of the AE signals coming from PDs presented in this paper. The research work carried out also proved the usefulness of the PSD – the parameter representing an AE signal as a criterion of teaching and testing the neuron network applied. In order to obtain the recognition effectiveness of the particular PD forms at the level exceeding 90% (at 8 recognizable classes) the number of neurons of the hidden layer should be at least 10 and the number of vectors in LS should be from 240 to 320 (LS size from 30 to 40). In the further stage of research the works on the improvement of the effectiveness of the recognized PD forms by the implemented neuron network will be carried on. The research methodology will be based on the change of the network elements and on the selection of a different parameter determining the AE signals registered. The research work is co-finances by the European Social Fund and the state budget REFERENCES 1. Boczar T., Widma emisji akustycznej generowanej przez wyładowania niezupełne w izolacji olejowej, SiM, z. 114, Politechnika Opolska, 2000. 2. Boczar T., Obiektywizacja wyników akustycznej metody oceny wyładowań niezupełnych przy zastosowaniu do opisu sygnałów analizy statystycznej i cyfrowych metod przetwarzania, Of. Wyd. Politechniki Opolskiej, 2003 r. 3. Boczar T.: Możliwości zastosowania do opisu sygnałów emisji akustycznej od wyładowań niezupełnych analizy statystycznej i cyfrowych metod przetwarzania sygnałów, Politechnika Opolska, Of. Wyd., 2003 r. 4. 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