Multi‐contingency TSCOPF based on full‐system simulation

Abstract

Transient stability constrained optimal power flow (TSCOPF) is a non-linear optimisation problem used to perform economic dispatches while ensuring TS. This study proposes a multi-contingency TSCOPF model that retains the dynamics of all generators and includes a transient synchronous generator fourth-order dq-axis model. A program is developed that automatically reads the system data from standard files, builds the multiple-contingency TSCOPF model on a high-level modelling system and solves it using a non-heuristic interior point algorithm. This approach facilitates the application of the model to a variety of systems and scenarios. A TSC based on the speed deviation instead of the rotor angle is proposed. Results obtained on several standard systems are shown. The proposed method is applied to the northwest Spanish transmission system to obtain an optimised dispatch that ensures TS after any of a number of faults, and to assess the economic impact of fault-clearing times at different substations. Nomenclature

Analysis of Numerical Methods to Include Dynamic Constraints in an Optimal Power Flow Model

“…The simulations in this paper have been performed using the IPOPT library on a personal computer equipped with a 3.40 GHz processor. The results obtained by a version of the proposed TSCOPF model that implemented a trapezoidal rule have been verified using dynamic simulations in PSSE [24].…”

“…As an example, Figure 3 shows the rotor angles of all synchronous generators in one of the solved TSCOPF models; it can be seen that the upper angle constraint is reached at approximately t = 0.6 s. The simulations in this paper have been performed using the IPOPT library on a personal computer equipped with a 3.40 GHz processor. The results obtained by a version of the proposed TSCOPF model that implemented a trapezoidal rule have been verified using dynamic simulations in PSSE [24].…”

Optimal Curtailment of Non-Synchronous Renewable Generation on the Island of Tenerife Considering Steady State and Transient Stability Constraints

“…The proposed method applies a 4rd order, transient synchronous generator model that increases the number of variables and equations but represents the dynamics of the machine with more accuracy [38]. Compared to the method proposed in [26] which also uses a 4rd order synchronous generator model, the proposed method calculates the voltage at every bus and at every sample time. This makes it possible to represent non-synchronous power stations and nonlinear, ZIP load models, but comes at the prize of increasing the number of variables by 80% and the number of constraints by 64%.…”

“…The equations that calculate the initial values of the state variables and the entries of the model (field voltage and input torque) are incorporated as part of the pre-fault stage. A similar implementation of the synchronous generator model can be found in [26].…”

Information‐gap decision theory based transient stability constrained optimal power flow considering the uncertainties of wind energy resources

“…To address this challenge and to ensure the power system security associated with transient instabilities against critical contingencies, while attaining an economic operation, transient stability constrained optimal power flow (TSCOPF) has been proposed and developed, see e.g. [12][13][14][15][16][17][18][19][20].…”