Calculating the Parameters of Symmetry-Compensating Device for Three-Phase Electrical Power System Based on the System Decomposition

Analytical method of determining conditions for full compensation of reactive power in the power supply system

“…In Ukraine, under the current conditions of martial law, these issues should become one of the main factors in increasing the possibilities of emergency-free electricity supply, in particular, the compensation of reactive power will allow to relieve the load on electric networks and increase the efficiency of the systems as a whole [4,5]. Along with the traditional approach of partial compensation of reactive power of loads, the mode of full compensation of reactive power deserves attention, in which in three-phase networks the inverse and zero symmetrical components are compensated [7][8][9][10][11], as well as the reactive power of the load directly and, in addition, the reactive power in the electrical network itself [12][13][14]. The latter are traditionally compensated by the so-called longitudinal compensation, in which compensating capacitors are connected in series in the power transmission line [1,2].…”

“…But, as shown in [14], the compensation of the components caused by the inductances of the power transmission lines can be achieved by increasing the capacities of the transverse compensation capacitors, which shunt the load in the electricity collection nodes. In the general case, the determination of full compensation can be carried out with the help of search optimization [12,13] by approximate numerical methods, since in essence it is necessary to solve a system of nonlinear equations, which contain both system parameters and currents with voltages, and they are interconnected by multiplication and division operations. This is characteristic, as will be shown below, for the variant of the single-line generalized circuit, which can be applied even when considering branched electrical networks.…”

“…and C k . In the search optimization method, this problem is solved by imposing additional conditions for reactive power compensation with the subsequent use of numerical algorithms using Newtonian methods or the algorithm optimization method, for example, a deformed polyhedron [12,13].…”

Research Optimization of the Mode of Full Reactive Power Compensation in the Electrical Network

“…І тому втрати від реактивної потужності у розподільчих мережах можуть сягати значних величин. Водночас у ряді робіт авторів було показано, що засіб поперечної компенсації може використовуватися не тільки для компенсації реактивної потужності навантажень, але й для компенсації реактивної потужності лінії електропередачі [12,13]. В такий спосіб може досягатися режим повної компенсації реактивної потужності в системі.…”

“…Цей режим характеризується відсутністю реактивної потужності, пов'язаної з джерелом живлення. Для цього необхідно, щоб струм, споживаний від джерела живлення, мав синусоїдальну форму і збігався по фазі з напругою, що генерується [13].…”