Off-campus Michigan Tech users: To download campus access theses or dissertations, please use the following button to log in with your Michigan Tech ID and password: log in to proxy server

Non-Michigan Tech users: Please talk to your librarian about requesting this thesis or dissertation through interlibrary loan.

Date of Award


Document Type

Campus Access Master's Thesis

Degree Name

Master of Science in Electrical Engineering (MS)

Administrative Home Department

Department of Electrical and Computer Engineering

Advisor 1

Sumit Paudyal

Advisor 2

Bruce Mork

Committee Member 1

Lucia Gauchia


Under voltage load shedding is a procedure to shed the load when the voltage drops below the pre-selected level in power systems. Conventionally, this process has been based on decentralized schemes where each area is equipped with UVLS relays to trip the loads at pre-selected nodes in the power network. With the increased usage of phasor measurement units (PMU), this process can be made centralized with wide area protection schemes. This work aims at wide area measurements based under voltage load shedding with minimal PMUs. The proposed method requires measure- ments at only the voltage sensitive buses in the network. The concept of singular value decomposition is applied on the system Jacobians, where the right singular vec- tor of the decomposed matrix indicates the voltage sensitive buses. The placement of PMU is considered only at the zero injection buses and state estimation is used to compute the voltage at the load buses. The proposed singular value decomposition technique is tested on a WSCC 3-machine 9-bus, and New England 10-machine 39-bus systems. The proposed under voltage load shedding was performed on the WSCC 3-machine 9-bus, and also compared with conventional AC power ow method. Simulation results show that the proposed algorithm is capable of estimating voltage deviations and required amount of load to be shed with minimal PMUs.