Power System State Estimation
Power System State Estimation via Weighted Least Squares · Also known as: PSSE, WLS State Estimation, Power Flow State Estimation
Power System State Estimation (PSSE) is a real-time algorithm that estimates the voltage and phase angle at every bus in a power grid from a set of noisy, redundant measurements. Introduced by Schweppe in 1970, it combines measurements (power flows, voltage magnitudes) with the physical power flow model to produce the most likely system state. State estimation is the foundation of modern grid control centers, providing operators with an accurate digital representation of the actual network.
Read the full method
Sign in with a free account to read this section.
Method map
The neighbourhood of related methods — select a node to explore.
When to use it
State estimation is mandatory for any large power grid with decentralized measurement systems. Essential for real-time control, contingency analysis, and security monitoring. Use classical WLS for systems with normal measurement noise; extend to robust or adaptive filtering for systems with outliers or non-Gaussian noise. Less suitable for small, fully-metered systems where measurements alone suffice.
Strengths & limitations
- Provides complete state visibility from incomplete, noisy measurements
- Automatically detects and rejects bad data and incorrect measurements
- Enables calculation of unmeasured quantities (voltage angles, losses) from measured power flows
- Computationally efficient with sparse matrix techniques
- Performance depends critically on measurement redundancy; sparse networks may have unobservable areas
- Requires accurate network model (admittance parameters) or estimates degrade significantly
- WLS performance degrades with non-Gaussian noise or outliers; robust alternatives are needed
- Observability transitions (measurement loss, topology changes) can cause sudden state estimate drops
Frequently asked
What is the difference between state estimation and a power flow solution?
Power flow takes scheduled generation and demand as fixed inputs; state estimation takes noisy measurements and reconciles them with the model. State estimation is real-time, adaptive, and robust to bad data.
Why can state estimation give voltage angles at all buses if not all are measured?
Voltage angles cannot be directly measured. State estimation infers them from measured power flows using the power-balance equations and the network model. Measurement redundancy enables this inference.
What is observability and how do I improve it?
Observability is the ability to uniquely determine system state from available measurements. Improve it by adding meters (especially on critical branches), ensuring topology consistency, and validating measurement time-tagging.
Can state estimation handle real-time dynamic events (faults, transients)?
Classical state estimation assumes steady-state. Dynamic state estimation (Kalman filter variants) can track transients but requires higher measurement rates and more sophisticated algorithms.
Sources
- Schweppe, F. C., & Wildes, J. (1970). Power system static-state estimation: III system implementation. IEEE Transactions on Power Apparatus and Systems, 89(1), 120-125. link ↗
- Abur, A., & Expósito, A. G. (2004). Power System State Estimation: Theory and Implementation. Marcel Dekker. DOI: 10.1201/9780203913673 ↗
- Primadianto, A., & Lu, C. N. (2017). A review of distribution system state estimation. IEEE Transactions on Power Systems, 32(5), 3859-3869. DOI: 10.1109/tpwrs.2016.2632156 ↗
How to cite this page
ScholarGate. (2026, June 3). Power System State Estimation via Weighted Least Squares. ScholarGate. https://scholargate.app/en/electrical-engineering/power-system-state-estimation
Which method?
Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.
- Newton-Raphson Power FlowElectrical Engineering↔ compare
- Optimal Power FlowElectrical Engineering↔ compare
- Unit CommitmentElectrical Engineering↔ compare