Method for the computer-aided control of the power in an electrical grid
First Claim
1. A method for computer-aided control of power in an electrical grid, wherein the electrical grid has a preset rated frequency and comprises a plurality of nodes, which are connected to one another via electrical lines and each feed power into the electrical grid or draw power from the electrical grid, wherein the power fed into or drawn from the respective nodes is given via a proportionality relationship, in accordance with which, in a preset frequency range of the voltages at the respective node, the power is set on the basis of a reference power, which is the drawn or fed power at the preset rated frequency, and on the basis of a proportionality factor depending on a difference between a frequency of the voltage in the respective node and the preset rated frequency of the electrical grid, wherein a proportional controller is provided in at least some of the nodes, for which the proportional controller, the reference power, and/or the proportionality factor is set, wherein:
- a) a steady state of the electrical grid is modeled in which a constant frequency is set for all of the voltages of the nodes;
b) an optimization problem is solved and hereby reference powers and proportionality factors are determined for at least some of the proportional controllers, wherein the optimization problem is defined on a basis of a condition for the modeled steady state, wherein when the condition is met, the phase differences between the voltages of adjacent nodes are each less than or less than or equal to a maximum phase value; and
c) the at least some of the proportional controllers are set to the reference powers and proportionality factors determined in step b);
further wherein the optimization problem is converted into a convex optimization problem.
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Abstract
A method for computer-aided control of power in an electrical grid is provided. The electrical grid has a redetermined rated frequency and includes network nodes that are interconnected via power supply lines, each of the nodes supplying power to or drawing power from the electrical grid. At least part of the nodes are provided with proportional controllers, for which a reference power and/or a proportionality factor is set, and which control the power that is supplied or drawn by each network node based on the difference between the frequency of the voltage in each network node and the rated frequency of the electrical grid. The reference power and the proportionality factor of at least some of the proportional controllers are determined on the basis of solving an optimization problem. The stability and robustness of the operation of the electrical grid is optimized without the need for carrying out complex simulations.
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Citations
22 Claims
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1. A method for computer-aided control of power in an electrical grid, wherein the electrical grid has a preset rated frequency and comprises a plurality of nodes, which are connected to one another via electrical lines and each feed power into the electrical grid or draw power from the electrical grid, wherein the power fed into or drawn from the respective nodes is given via a proportionality relationship, in accordance with which, in a preset frequency range of the voltages at the respective node, the power is set on the basis of a reference power, which is the drawn or fed power at the preset rated frequency, and on the basis of a proportionality factor depending on a difference between a frequency of the voltage in the respective node and the preset rated frequency of the electrical grid, wherein a proportional controller is provided in at least some of the nodes, for which the proportional controller, the reference power, and/or the proportionality factor is set, wherein:
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a) a steady state of the electrical grid is modeled in which a constant frequency is set for all of the voltages of the nodes; b) an optimization problem is solved and hereby reference powers and proportionality factors are determined for at least some of the proportional controllers, wherein the optimization problem is defined on a basis of a condition for the modeled steady state, wherein when the condition is met, the phase differences between the voltages of adjacent nodes are each less than or less than or equal to a maximum phase value; and c) the at least some of the proportional controllers are set to the reference powers and proportionality factors determined in step b); further wherein the optimization problem is converted into a convex optimization problem. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20)
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21. An apparatus for computer-aided control of power in an electrical grid, wherein the electrical grid has a preset rated frequency and comprises a plurality of nodes, which are connected to one another via electrical lines and which each feed power into the electrical grid or draw power from the electrical grid, wherein the power fed in or drawn by the respective nodes is given via a proportionality relationship, in accordance with which, in a preset frequency range of the voltages in the respective node, the power is set on the basis of a reference power, which is the drawn or fed power at rated frequency, and a proportionality factor depending on a difference between the frequency of the voltage in the respective node and the preset rated frequency of the electrical grid, wherein a proportional controller is provided in at least some of the nodes, for which the proportional controller the reference power and/or the proportionality factor is set, wherein the apparatus is designed for implementing a method in which:
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a) a steady state of the electrical grid is modeled in which a constant frequency is set for all of the voltages of the nodes; b) an optimization problem is solved and hereby reference powers and proportionality factors are determined for at least some of the proportional controllers, wherein the optimization problem is defined on the basis of a condition for the modeled steady state, wherein when said condition is met, the phase differences between the voltages of adjacent nodes are each less than or less than or equal to a maximum phase value; c) the at least some of the proportional controllers are set to the reference powers and proportionality factors determined in step b); wherein the optimization problem is converted into a convex optimization problem. - View Dependent Claims (22)
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Specification