Probabilistic Analysis of Loadability in Composite Power Systems Considering Security Constraints

Abstract

Loadability represents the maximum load that can be supplied in a general multi-machine power network. Loadability is limited not only by the violation of system thermal and voltage limits, but also restricted by transient stability limits. Due to the uncertainty of power system behavior, it is impossible to provide a fixed loadability in all conditions. Specifically, in system planning, prospective risk analysis needs a statistical forecast for an expected range of loadability. It is, therefore, important to study loadability problem from a probabilistic point of view. In this paper, an algorithm to incorporate security constraints in calculating loadability is proposed. Monte Carlo simulation is used to accomplish the probabilistic calculation of loadability with consideration of stochastic features of transient stability. The WSCC-9 bus system is used as the test system to demonstrate the methodology.

The Decomposition Calculation Method of Large Interconnected Grid Probabilistic Available Transfer Capability

“…While the ATC probabilistic algorithms can consider the influences of the random characteristics on the system conveniently, in order to comprehensively reflect the ATC of the interconnected grid, ATC should be evaluated by the probabilistic models. Currently, the main probabilistic ATC calculation methods are the stochastic programming method [2], the enumeration method [3], the Monte Carlo simulation method [4] and the Bootstrap-based algorithm [5].…”

Efficient processing of system scenarios in statistical and machine learning studies for power system operational and investment planning

“…Such system reliability evaluation using MCS methods has been extensively developed in the domain of adequacy assessment [9,11,12] to evaluate: For system security assessment studies, MCS is typically done to estimate risk-based system security limits with respect to transient stability, thermal overload, voltage stability etc., such as maximum allowable system loadability, expected ATC, expected voltage stability margin etc [13,14,15,16].…”

“…16 shows both the estimation and simulation output of progressive entropy curves for Cordemais contingency along the load variable. It was done for a sample of 975 loading conditions randomly selected form the multivariate loading distribution.…”