“…As pointed out in [15], (9) may not be an adequate model for a large industrial motor at its normal operating conditions. In our study, however, we concentrate on the stalling process, where it is expected that the slip dynamics will dominate.…”
Section: Snb Of An Induction Motor Eration Equation Can Be Written Asmentioning
confidence: 98%
“…The program uses Newton's method and the sparse Jacobian (15) to solve for successive short-term equilibria. The Jacobian matrix is not recomputed at each time interval.…”
This paper investigates the effect of induction motor stalling on power system voltage stability assessment. A new time-scale decomposition is suggested when a single motor stalls. This allows a better security margin assessment in cases where motor stalling has no serious consequences on system operation. Case studies on a two motor system and a 34-bus system demonstrate the ajpplicability of the proposed approach.
“…As pointed out in [15], (9) may not be an adequate model for a large industrial motor at its normal operating conditions. In our study, however, we concentrate on the stalling process, where it is expected that the slip dynamics will dominate.…”
Section: Snb Of An Induction Motor Eration Equation Can Be Written Asmentioning
confidence: 98%
“…The program uses Newton's method and the sparse Jacobian (15) to solve for successive short-term equilibria. The Jacobian matrix is not recomputed at each time interval.…”
This paper investigates the effect of induction motor stalling on power system voltage stability assessment. A new time-scale decomposition is suggested when a single motor stalls. This allows a better security margin assessment in cases where motor stalling has no serious consequences on system operation. Case studies on a two motor system and a 34-bus system demonstrate the ajpplicability of the proposed approach.
“…It has been observed that stator dynamics are faster than rotor dynamics in induction machines [5], [13], [14]. This is also true for DFIGs used in wind power generation.…”
This paper presents a modal analysis of a two machine power system that includes a doubly-fed induction generator (DFIG). The DFIG's model considers rotor flux linkages as dynamic states and stator flux linkages as algebraic variables. Active-and reactive-power controllers are also modeled. Active power is tracked for optimal power extraction from the wind. Using the power system set of differential-algebraic equations, eigenvalue trajectories are obtained when the load is varied. The system dynamics show little interaction between the DFIG and the synchronous machine (base case). Thus, system behavior is compared when the DFIG is replaced by (i) a hypothetical synchronous generator and (ii) a negative load (NL). Results show that an NL model resembles very well a DFIG dynamic model in the power system. A high sensitivity with respect to the parameters of the fast loop of the power controllers is observed. Lowering the parameters of the reactive power controller can actually make the system more stable. With respect to the loading at the Hopf point, its estimation is obtained with a low error by the NL model. These results have been verified using a 39-bus, 10-machine system. Using an NL model for representing wind power generators in power systems analysis can provide reasonable results while reducing simulation time and model complexity.
“…In [3] it is noted that the "large" and "small" motors used in that study exhibit significantly different behavior, implying that different models need to be used for each. This paper discusses the use of stochastic norms to determine when a single or small number of individual component models may be used to represent an aggregate for an entire class of loads.…”
Section: Massachusetts Institute Of Technologymentioning
-This paper presents a probabilistic approach to the characterization of dynamical models of induction machine clusters. Our method derives bounds on eigenvalue variations for linearized models expressed in terms of stochastic norms. In our examples of modeling of power system loads this characterization tends to be less conservative than alternative deterministic approaches. We consider examples of induction machines with different ratings (classes), and allow for wide variations of electrical and mechanical parameters. We describe a stochastic norm approach to: 1) efficiently describe the dynamical model variations for a cluster of similar machines without having to perform repeated eigenvalue calculations, e.g. in a wind farm application, and 2) suggest the order of the reduced model in power system load modeling where the tightness of the bounds of eigenvalue variations is used for guidance in decisions regarding the number of different classes that would efficiently represent a given composite load.
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