Abstract
Flow distribution calculation is the determination of the values of the state parameters at the nodes and connections of the system that satisfy the Kirchhoff laws. This calculation is necessary to determine the existence and admissibility of operating states in a multi-energy systems, as well as in singleproduct systems. In addition, it is an essential component of solving the problems of optimization of states in order to ensure the minimum cost of production, transmission and distribution of energy resources. Traditionally, a means of such minimization is the redistribution of the load between sources, consumers and storage of energy resources. As a consequence, this redistribution applies to the elements of transmission and distribution networks. This means are supplemented also by the possibility of converting energy resources from one type to another in multi-energy system. Covering the needs of the end consumer in different types of energy can be provided from different primary energy carriers through the chain (sequence) of their transfer and transformation from one type to another. Such a variety of the ways of energy supply, along with the possibilities of storing (accumulating) energy, pro-vides necessary degrees of freedom for solving states optimization problems.
Highlights
The calculation of the allowed conditions consists in determining the values of dependent and independent parameters
To be able to comply with the restrictions, the number of dependent parameters must exceed the number of flow distribution equations per number of restrictions [1]
State optimization problems are solved in conditions of operational and automatic states control of power systems and grids
Summary
The calculation of the allowed conditions consists in determining the values of dependent and independent parameters. The calculation of the optimal state consists in determining such an allowed state which will have the objective function is equal to the minimum (or maximum) value In this case, the flow distribution equations act as equality constraints on the state parameters. When optimizing the current state of the power system according to the power generation of energy resources, the volumes distribution of the produced resource per unit of time is determined In this case, the producers' capacity injections that correspond to the minimum operating costs for given consumer loads are determined. A more particular problem is to optimize the electrical grid conditions This means the calculation of the optimal node voltage, reactive power of sources and transformation ratios of variable transformers and autotransformers, taking into account technical constraints to minimize losses [2]. Separate optimization is used more often to simplify the task [4]: the power system conditions is optimized first, and the power grid conditions is optimized
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