Hello everybody,
I am new to power grids and i have been asked to solve the below questions:
N-k security refers to our ability to maintain secure operation after k components have failed in a system with N components. Theoretically, a power grid operator would need to perform the N-k contingency analysis to ensure N-k security with an emergency plan for each contingency. However, each N-k contingency is a combination of k component failures in an N component grid, and the number of such combinations in a large-scale power grid is huge, creating an enormous search space that is often hard to exhaust in practice. Now, consider the number of possible substation contingencies in the Texas power grid (shown below) with 5,030 substations. Answer the following questions.
1- In an N-2 analysis of simultaneous substation shutdowns in the Texas grid, how many different N-2 contingencies shall be analyzed?
2- If we increase it to the N-4 analysis of the Texas grid, where 4 substations are shut down simultaneously, how many different N-4 contingencies shall be analyzed?
3- The term “cascading failures” refers to the scenario where multiple components fail consecutively (instead of simultaneously). This can be viewed as a N-k_1-k_2… contingency, where k_1 of the N components fail in the first round of failure, then k_2 of the remaining N-k_1 components fail in the second round of failure, and so forth. Find the numbers of N-1-1 and N-1-1-1 contingencies for the substations in the Texas grid.
Any help ?
I am new to power grids and i have been asked to solve the below questions:
N-k security refers to our ability to maintain secure operation after k components have failed in a system with N components. Theoretically, a power grid operator would need to perform the N-k contingency analysis to ensure N-k security with an emergency plan for each contingency. However, each N-k contingency is a combination of k component failures in an N component grid, and the number of such combinations in a large-scale power grid is huge, creating an enormous search space that is often hard to exhaust in practice. Now, consider the number of possible substation contingencies in the Texas power grid (shown below) with 5,030 substations. Answer the following questions.
1- In an N-2 analysis of simultaneous substation shutdowns in the Texas grid, how many different N-2 contingencies shall be analyzed?
2- If we increase it to the N-4 analysis of the Texas grid, where 4 substations are shut down simultaneously, how many different N-4 contingencies shall be analyzed?
3- The term “cascading failures” refers to the scenario where multiple components fail consecutively (instead of simultaneously). This can be viewed as a N-k_1-k_2… contingency, where k_1 of the N components fail in the first round of failure, then k_2 of the remaining N-k_1 components fail in the second round of failure, and so forth. Find the numbers of N-1-1 and N-1-1-1 contingencies for the substations in the Texas grid.
Any help ?
