Voltage Control in the Future Power Transmission Systems by Nan Qin

Author:Nan Qin
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Scenario

WG1

WG2

WG3

Probability

1

2

N

Step 3. Update voltage constraints for robustness improvement

Voltage variations caused by the uncertainties are estimated via sensitivity calculations, (4.59)–(4.62). The voltage constraints are therefore updated to include the voltage margin for each scenario.

Step 4. Solution

All scenarios are solved. Equation (4.73) can be tuned for tractability. The found optimal control variables should be aggregated via (4.66). If some of the scenarios are not able to be solved, then they should be marked and may be excluded from the final aggregation. It may indicate the extreme conditions that no feasible solution exists due to the large deviation from the expected values.

The sensitivity-based approach significantly improves the performance of the scenario-based method to protect the solution against the uncertainties of the node power injections [44]. The possible voltage variation at each scenario is estimated based on the sensitivity calculation, i.e. the linear relationship of the voltage variations caused by changes on the node power injections. The difficulty of this approach mainly lies in two aspects, i.e. (i) the number of scenarios increases exponentially as the number of uncertain power injections increase and the number of the involved stages increase; (ii) a solution valid for all load flow conditions of the scenarios may be difficult to find or does not exist.

Reference [44] concludes that if the estimated voltage margin in each scenario is reserved, the solution can to a certain degree be protected against the uncertainty. The question therefore turns to how to properly estimate the voltage margin and apply the voltage margin to the decision making process with strong tractability.

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