OUT-OF-STEP DETECTION BASED ON ZUBOV’S APPROXIMATION BOUNDARY METHOD

Disturbances in power systems may lead to electromagnetic transient oscillations due to mismatch of mechanical input power and electrical output power. Out-of-step conditions in power system are common after the disturbances where the continuous oscillations do not damp out and the system becomes unstable. Existing out-of-step detection methods are system specific as extensive off-line studies are required for setting of relays. Most of the existing algorithms also require network reduction techniques to apply in multi-machine power systems. To overcome these issues, this research applies Phasor Measurement Unit (PMU) data and Zubov’s approximation stability boundary method, which is a modification of Lyapunov’s direct method, to develop a novel out-of-step detection algorithm. The proposed out-of-step detection algorithm is tested in a Single Machine Infinite Bus system, IEEE 3-machine 9-bus, and IEEE 10-machine 39-bus systems. Simulation results show that the proposed algorithm is capable of detecting out-of-step conditions in multi-machine power systems without using network reduction techniques and a comparative study with an existing blinder method demonstrate that the decision times are faster. The simulation case studies also demonstrate that the proposed algorithm does not depend on power system parameters, hence it avoids the need of extensive off-line system studies as needed in other algorithms.

Lighthouses as an overlapping boundary between maritime and terrestrial landscapes : how lighthouses served to connect the growing industries of the Keweenaw Peninsula with the world market

Lighthouses are an important part of the industrial heritage of the Keweenaw Peninsula in Michigan. They functioned as an integrated system that facilitated shipping on Lake Superior and supported the growing industry of the Keweenaw Peninsula. For this reason, lighthouses can be considered as an overlapping boundary between the maritime and terrestrial landscapes. As shipping and industry changed, the lighthouse boundary also changed. Changes to the boundary are reflected in the contractors involved in the construction of lighthouses and the decisions they made with the resources, principally building materials and knowledge, which they had at their disposal. The decline of shipping on the Great Lakes due to the increased use of roads and railroads for commerce and transportation and the decline of industry on the Keweenaw due to the decreasing profitability of the mines are reflected in gradual end of lighthouses functioning as a network.