Abstract
This paper proposes a structured hierarchical-multilevel approach to calculating the power flows and losses of electricity in radial electrical networks with different nominal voltages at given loads and voltages of the power source. The researched electrical networks are characterized by high dimensionality, dynamism of development, but also insufficient completeness and reliability of state information. The approach is based on the representation of the initial network graph in the form of a hierarchical-multilevel structure, divided into two stages with rated voltages Unom≤35 kV and Unom≥35 kV, and using the traditional (manual) engineering two-stage method, where the calculation is performed in a sequence from bottom to top (stage 1) and from top to bottom (stage 2), moving along the structure of the network. The application of the above approach makes it possible to obtain an algorithm for implementation on a computer, which is characterized by universality (for an arbitrary configuration and complexity of the network), high performance and low requirements for the computer memory.
Highlights
All end sections of the network are double-winding transformers, the end nodes of which form a set of load nodes L0 ; at sections (17, 18), (28, 30), (29, 31), two-winding communication transformers are installed between network lines of different rated voltage; Two three-winding communication transformers are installed between the lines of the network of different rated voltages: the first corresponds to a three-ray star from three sections (20, 21), (21, 7), (21, 22) with an internal node g = 21; the second—to a three-rayed star, consisting of three sections (36, 37), (37, 15), (37, 38) with an internal node g = 37
A structured hierarchical multilevel approach to the calculation of power flows and losses of electricity in radial electrical networks with different nominal voltages at given loads and voltage of the power source was developed. This approach is based on the representation of the initial network graph in the form of a hierarchical multilevel structure, divided into two stages with nominal voltages Unom ≤ 35 kV and Unom > 35 kV, and on the use of the traditional engineering two-stage method, where the calculation is performed in a certain sequence, moving along the network structure from bottom to top and from top to bottom
Since the network of the class under consideration consists of different types of sections
Summary
It is well known that electricity losses in electrical grids of power systems consist of the following components:. Unom ≥ 35 kV are similar in configuration to networks of 6–20 kV; from the point of view of sate information, they are sufficiently provided and they are more adjacent to multi-circuit electrical networks [11] These specific features of Unom ≥ 35 kV networks indicate that, in order to determine electricity losses, it is necessary to calculate power flows, i.e., determine the unknown voltages in nodes, flows and power losses in network elements (power lines and transformers) [12,13,14,15,16,17,18,19]. The unknown parameters are: unknown voltages at nodes, flows and power losses at elements, power losses in the network as a whole
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