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Distributed Moving Horizon Estimation for Large-scale Power Systems

Cover
project_cover.jpg
Funding Agency
National Research Foundation of Korea.
Keyword
Power System
Estimation
MHE
Funding Period
2019/07/01 → 2020/11/30
My Contribution
1.
Developed an automation package to model a power system based on a set of parameters.
2.
Applied consensus-based alternating direction method of multipliers (ADMM) for distributed state estimation.
3.
Designed distributed moving horizon estimation (D-MHE) for power system state estimation (PSSE).
Guarantee robustness in state estimation by dealing with constraints within the objective function
Validated the robustness of state estimation to virtual data attack scenarios.

MHE Problem formulation for PSSE

1.
MHE concept diagram
2.
Problem Formulation
In Details

D-MHE for real-time state estimation

Assume that each local estimator can exchange information with its neighbors.
1.
Consensus form of optimization
IE,IF{\mathcal I}_{\mathbb E}, {\mathcal I}_{\mathbb F} are the indicator functions corresponding to the equality and inequality constraints.
2.
Operator splitting algorithm for consensus-based optimization problem (3 steps)
a.
Solving an equality-constrained NLP
b.
Computing a set of separable projections
c.
Updating the scaled dual variables

Numerical Case Study - IEEE 118-bus test case

1.
Convert each transmission line into a partial 3-line physical mode to build a distributed power system
2.
Seperate measurements to enable distributed state estimation for each local estimator ϵi\epsilon_i
3.
Simulation Results (D-MHE vs D-EKF)
Validated the robustness of state estimation to virtual data attack scenarios.
Nonlinear measurement function
Linear measurement function