Monitoring the generator mechanical power behaviour using linear matrix inequality and h-infinity filtering method

Rosli, Fakhrul Izzul (2021) Monitoring the generator mechanical power behaviour using linear matrix inequality and h-infinity filtering method. Project Report. Universiti Teknikal Malaysia Melaka, Melaka, Malaysia. (Submitted)

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Abstract

The purpose of this project is to design an estimator to monitor the dynamic behavior of the mechanical power of the generator. In power systems, it is very important to monitor the stability of the system itself in order to ensure that the entire network is uninterrupted. The mathematical model of isolated power system network has been constructed while an estimator would be developed by utilizing Kalman Filtering theory specifically using H-infinity filtering method using Simulink Matlab. First, the mathematical equation represents the mathematical model has been derived which consist of three main equations representing generator, prime mover and governor model. Second, those three mathematical models had been converted from transfer function to state space model representation. Third, those mathematical models had been designed using Matlab/Simulink software by configuring all the mathematical blocks involved such as constant, integrator, input, output and product block. Then, each values of the main variables such as generator inertia constant, turbine time constant, governor time constant and governor speed regulation had been set accordingly. After that, the result shows that the derived mathematical model gives the information about the dynamical behaviour of generator’s frequency when the network was perturbed with sudden load changes. The next part is to design the H filter which acts as an estimator for the whole system. It starts with the process of developing the formulation of the filter design. Then, the process continues with the separation of two different system which are augmented generator and error system by implementing the linear matrix inequality (LMI) approach to the equation in transfer function form. From there, LMI coding sample as the programming problem has been developed in compliance to the filter design problem in LMI matrix form. Then, the process of configuring the estimator system in combination with power system network were being done using Simulink/Matlab software. Results from the simulation are then being recorded and analysed in understanding towards the behaviour of the mechanical power as the desired output from the estimator.

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