# Computation of Trajectory Sensitivities with Respect to Control and Implementation in PSAT

### Ramij Hossain, Ratnesh Kumar

#### Abstract

Trajectory sensitivity based analysis is widely regarded as an important tool for real time protection scheme of power systems. Model Predictive Control (MPC) for voltage instability is one such protection scheme which computes a sequence of control actions depending upon the trajectory behaviour of the dynamics of the power systems. Thus, computation of trajectory sensitivities with respect to control input can be an integral part for designing a real-time protection scheme. In this context, it is important to note that for the state-of-the-art Power System Analysis Tool (PSAT)(Milano, 2005), (Milano et al., 2008), while it is relatively easy to compute the trajectory sensitivities with respect to any system variables, the computation of trajectory sensitivities with respect to control inputs is not explicitly supported. This paper presents a method to extend the functionality of PSAT to also compute the trajectory sensitivities with respect to control inputs, which ultimately forms the basis for real-time protection schemes such as MPC. The proposed method is validated using direct time-domain simulation results.

Download#### Paper Citation

#### in Harvard Style

Hossain R. and Kumar R. (2019). **Computation of Trajectory Sensitivities with Respect to Control and Implementation in PSAT**.In *Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-758-380-3, pages 752-759. DOI: 10.5220/0007931307520759

#### in Bibtex Style

@conference{icinco19,

author={Ramij Hossain and Ratnesh Kumar},

title={Computation of Trajectory Sensitivities with Respect to Control and Implementation in PSAT},

booktitle={Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2019},

pages={752-759},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0007931307520759},

isbn={978-989-758-380-3},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - Computation of Trajectory Sensitivities with Respect to Control and Implementation in PSAT

SN - 978-989-758-380-3

AU - Hossain R.

AU - Kumar R.

PY - 2019

SP - 752

EP - 759

DO - 10.5220/0007931307520759