Abstract
The article aims to develop a methodology to ensure timely determination of the margins of static aperiodic stability in power supply systems, at the nodal points of which distributed generation units are installed. The authors used mathematical methods and algorithms based on the application of limiting regime equations. Transitional processes were analysed for various points in the space of controlled mode parameters according to the simulation modelling in Matlab using the Simulink and SimPowerSystems packages. On the basis of the obtained results, an effective technique for analysing stability margins in electrical networks with distributed generation units was implemented. This method is applicable in design problems, as well as in operational and emergency control. The conducted theoretical analysis and computer modelling showed the effectiveness of the proposed methodology for calculating stability margins; the nondegeneracy of the Jacobi matrix of limiting regime equations at the solution point ensures the guaranteed reliability of the results. It was shown that an alternative approach to solving the problem of timely determination of aperiodic stability margins can be implemented on the basis of limiting regime equation with increased nonlinearity. Dynamic modelling of an electrical network with distributed generation units confirmed the correctness of determining the stability margins calculated using limiting regime equations. The developed technique can be recommended for practical use in the design of power supply systems or in operational control of synchronous generators. In particular, the presented methodology can be used to implement a multi-agent emergency control system for distributed generation installations located in generalpurpose distribution electrical networks.
Highlights
The conducted theoretical analysis and computer modelling showed the effectiveness of the proposed methodology for calculating stability margins; the nondegene racy of the Jacobi matrix of limiting regime equations at the solution point ensures the guaranteed reliability of the results
It was shown that an alternative approach to solving the problem of timely determination of aperiodic stability margins can be implemented on the basis of limiting regime equation with increased nonlinearity
Dynamic modelling of an electrical network with distributed generation units confirmed the correctness of determining the stability margins calculated using limiting regime equations
Summary
Вызванных наличием тривиального решения уравнений (8), можно использовать условие, не допускающее, чтобы вектор R в искомой точке был нулевым; для этого вводится фиктивная переменная и система (8) записывается в виде:. 0, где 1 0 – фиктивная величина запаса. Фактическое значение запаса устойчивости определяется после завершения процесса итераций по формуле:. РЕЗУЛЬТАТЫ МОДЕЛИРОВАНИЯ Определение запасов САУ на основе описанного выше подхода проведено применительно к сети, к узловым точкам которой подключены две установки РГ. План и электрическая схема сети показаны на рис. 3. Мощности установок РГ приняты равными 24 МВт. Результаты моделирования представлены на рис. 4 и в табл. 1
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