Abstract

Maintaining reliability during power system operation relies heavily on the operator’s knowledge of the system and its current state. With the increasing complexity of power systems, full system monitoring is needed. Due to the costs to install and maintain measurement devices, a cost-effective optimal placement is normally employed, and as such, state estimation is used to complete the picture. However, in order to provide accurate state estimates in the current power system climate, the models must be fully expanded to include probabilistic uncertainties and non-linear assets. Recognizing its analogous relationship with state estimation, machine learning and its ability to summarily model unseen and complex relationships between input data is used. Thus, a power system state estimator was developed using modified long short-term (LSTM) neural networks to provide quicker and more accurate state estimates over the conventional weighted least squares-based state estimator (WLS-SE). The networks are then subject to standard polynomial scheduled weight pruning to further optimize the size and memory consumption of the neural networks. The state estimators were tested on a hybrid AC/DC distribution system composed of the IEEE 34-bus AC test system and a 9-bus DC microgrid. The conventional WLS-SE has achieved a root mean square error (RMSE) of 0.0151 p.u. for voltage magnitude estimates, while the LSTM’s were able to achieve RMSE’s between 0.0019 p.u. and 0.0087 p.u., with the latter having 75% weight sparsity, estimates about ten times faster, and half of its full memory requirement occupied.

Highlights

  • Reliable electric power transmission and distribution has ever been at the forefront of power system studies

  • This paper proposes taking the neural network application three steps further by (i) adopting the historical measurements and states to improve the accuracy of state estimation, especially for those states near transformers, ii) utilizing the standardized model optimization techniques to lighten the neural network for state estimation, and (iii) expanding its target application to the state estimation for hybrid AC/DC distribution systems

  • This paper takes off from a previous work shown in [36], where the standard mean square error (MSE) loss function has been replaced with the weighted least squares (WLS) loss function, which is used traditionally by power system state estimation to help the neural network model learn which of the measurements to trust more

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Summary

Introduction

Reliable electric power transmission and distribution has ever been at the forefront of power system studies. Optimal placement papers such as [6,7,8] exist to attempt to find a configuration which makes the system observable and cost effective This leads to the problem of completing the missing measurements of the current system state given limited information; power system state estimation is developed. To visualize the thought process, this paper is structured as follows: Section 2 discusses the basic intuition on power system state estimation and the conventional method: weighted least squares state estimation (WLS-SE). It shows the main objective of state estimation, i.e., to minimize the error between the calculated and the measured system state.

Power System State Estimation
Neural Network-Based State Estimation
Neural Network Theory
Implementation to State Estimation
Methodology
Data Augmentation
Training
Testing
Results and Discussion
Conclusions
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