Model of own harmonic conductor oscillations for tasks of monitoring the status of airline power transmission lines

The article substantiates the relevance of the inspection of overhead power lines by determining the mechanical loads of the conductors. The conductor sways under the action of external loads and variable internal mechanical loads. The conductor behaves in span like a pendulum. Using the inclinometric method, it is possible to determine the deviations of the conductor in space from its equilibrium position. Having restored the geometry of the conductor in the span of an overhead power line, mechanical loads can be determined. A model of the harmonic oscillations of the conductor in flight is derived to assess the mechanical loads of the conductor overhead power lines. This mathematical model is based on mathematical models of a flexible thread and a model of a physical pendulum. A conductor is a physical pendulum, where the conductor acts as the body, and in the role of the fixed axis of rotation, a straight line passing through the suspension points of the conductor. The developed model allows you to determine the arrow of its sag from the period of oscillations of the conductor in the span. The article considers algorithms for calculating the conductor sag arrows for two cases: the conductor suspension points are at the same height; conductor suspension points are at different heights. A theoretical calculation is given for a model of a span overhead power line with an estimate of the sensitivity of the developed model and its error in determining the sag of the conductor. Using the arrow of the conductor sag, you can restore its geometry, and hence the mechanical load of the conductor. Therefore, knowing the initial geometric parameters of the span of the overhead power line and the current period of the conductor’s oscillations, it is possible to examine its current state.

Study of Non-Linear Systems: PI and Fuzzy Controllers Performances

This work aims to present the development and study of a nonlinear system structure capable of moving in one degree of freedom, performed by a brushless motor coupled to a propeller. For this, the mathematical modeling of the developed structure was based on resembling a simple physical pendulum. Regarding the system control, two techniques were considered: PID and Fuzzy, implemented in Matlab. Simulation tests were carried out to validate and compare the control technique results with different input signals. Both controller topologies tracked the respective setpoints, but Fuzzy controller had the best system performance. The structure developed can serve as a base platform for future improvements, studies, and experiment tests, such as the analysis of motion in the horizontal plane.