Sensitivity of Transfer Capability Margins with a Fast Formula

Abstract

Abstract-Bulk power transfers in electric power systems are limited by transmission network security. Transfer capability measures the maximum power transfer permissible under certain assumptions. Once a transfer capability has been computed for one set of assumptions, it is useful to quickly estimate the effect on the transfer capability of modifying those assumptions. This paper presents a computationally efficient formula for the first order sensitivity of the transfer capability with respect to the variation of any parameters. The sensitivity formula is very fast to evaluate. The approach is consistent with the current industrial practice of using dc load flow models and significantly generalizes that practice to more detailed ac power system models that include voltage and reactive power limits. The computation is illustrated and tested on a 3357 bus power system. Index Terms-Optimization, power system control, power system security, power transmission planning, sensitivity.

New large-scale security constrained optimal power flow program using a new interior point algorithm

“…The TTC sensitivity with respect to the variation of any parameters. Once the TTC has been computed for one set of assumptions, it is possible to rapidly estimate the effect on the TTC of modifying those assumptions [24]. …”

A generalized power transfer distribution factor for power injection analysis of power grids

“…Only traditional PTDF is required to solve the optimization problem (7). In the cases that only a few generators are to be coordinated with the renewable resources while the other generators unaffected, it only needs to set the weights of the uncoordinated generators to zero and solve the optimization with respect to other weight parameters.…”

“…In [5], advanced software GRIDLAB-D is introduced to provide a tool for modelling, power management and simulation for smart grids. Due to the importance of the sensitivity analysis in power injection and power flow management, quite a few works have been done regarding the sensitivity analysis and computation [6], [7], [8], [9]. In this paper, the sensitivity analysis is more general and its application in power flow management leads to an effective solution.…”

Interval based network operation respecting N-1 security criterion

“…However, they do not in general guarantee system security, as they are based on simplified models. In computing Available transfer capability and it's sensitivity, set based tools are also used [17], [18]. These tools, however, are not optimisation based.…”