Abstract
A universal mathematical model of a noise signal in pipeline systems from the point of its origin to the observation point was presented. Due to the indicator function introduced into it, the model makes it possible to use different types of components and perform appropriate actions depending on the task, and the indicator function in some cases will be zero. The developed model advantage consists in that it is universal for the leak detection methods which use two signal receivers regardless of their physical nature. This model was implemented in the study on an example of a method of acoustic leakage detection, which uses the inter-correlation function. A block diagram of an acoustic system for detecting leakage location, its main blocks, and their parameters were presented. To test the working capacity of the mathematical model, a computer measuring experiment was conducted in the MATLAB software system. The algorithm of the computer experiment with indicator function was presented and the results of detecting leakage location according to the corresponding sample were given. A universal formula for calculating coordinates of the fluid leakage location both along the axis of the pipeline and the pipeline circumference was presented. This formula features accounting of the distance from the transducer to the possible leakage location and the sample number. This formula serves a universal model of the noise signal and confirms the results of the computer experiment. As a result of the experiment, dependences of the values of the fluid leakage location on the sample number and the distance to the receiver of the acoustic noise signal were obtained. To test the model adequacy, a diagram of influential factors was constructed in a form of Ishikawa diagram. The diagram shows the cause-and-effect relationships that affect the computer experiment built on the proposed mathematical model of acoustic signals to implement the universal method of leak detection. Adequacy of the proposed universal model was verified and confirmed by statistical methods. The results obtained can be used in technical diagnostics of pipelines and for reducing costs of repair and restoration of technological systems by identifying breakdown sites
Highlights
The reliability and efficiency of thermal power equipment and systems are largely determined by the state of their pipelines
Interference is caused by the Applied physics propagation of leakage signals or other processes occurring in working test objects
Study [1] describes methods and procedures of leak detection based on various physical phenomena and principles such as pressure monitoring by means of fixed or sliding devices, method of scanning waves, negative shock waves, comparison of cost, change of flow rate and linear balance
Summary
The reliability and efficiency of thermal power equipment and systems are largely determined by the state of their pipelines. Despite a large number of solutions in this field, their application is often accompanied by significant errors in leak detection This is determined by not always the simple design of the test object, lack of direct access to the leaks, complex probabilistic nature of acoustic signals of leakage. This is caused by the ambiguity of the physics of the formation of leakage signals in through defects of the test object and presence of interferences that occur in leakage signal propagation or is brought about by other technological processes of the working test object. Capabilities of leak detection methods are determined by the method of generation of information signals in the “converter – test object” system and by the chosen data parameters and signal characteristics and the search for a universal processing method
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