Journal ArticleDOI
Control of large-scale dynamic systems by aggregation
TLDR
Using the quantitative definition of weak coupling proposed by Milne, a suboptimal control policy for the weakly coupled system is derived and questions of performance degradation and of stability of such suboptimally controlled systems are answered.Abstract:
A method is proposed to obtain a model of a dynamic system with a state vector of high dimension. The model is derived by "aggregating" the original system state vector into a lower-dimensional vector. Some properties of the aggregation method are investigated in the paper. The concept of aggregation, a generalization of that of projection, is related to that of state vector partition and is useful not only in building a model of reduced dimension, but also in unifying several topics in the control theory such as regulators with incomplete state feedback, characteristic value computations, model controls, and bounds on the solution of the matrix Riccati equations, etc. Using the quantitative definition of weak coupling proposed by Milne, a suboptimal control policy for the weakly coupled system is derived. Questions of performance degradation and of stability of such suboptimally controlled systems are also answered in the paper.read more
Citations
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Journal ArticleDOI
Studies on power systems that are subjected to cyclic loads
K.R. Rao,L. Jenkins +1 more
TL;DR: In this paper, a suboptimal controller is designed on the basis of slow and fast modes, which produces accurate results with reduced computation time compared to existing techniques such as the Van Ness method.
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Dynamic Equivalent Model of Wind Power Plant Using an Aggregation Technique
TL;DR: In this paper, the authors developed a dynamic equivalent model for large-scale wind power plants based on an aggregation technique, which is obtained in steps that include wind turbine clustering, development of slow dynamic models for the clusters, and aggregating of the models with the rest of wind power plant network.
Journal ArticleDOI
A generalized approach to the analysis of voltage stability in electric power systems
TL;DR: In this paper, a linearized model in state space form of a multi-machine power system is presented, and rigorous voltage stability conditions are derived on the basis of a suitable aggregated model of original system capable of retaining the dynamics of voltages at generator and load nodes.
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A conceptual basis for modelling and simulationt
TL;DR: Two common modes of knowledge acquisition, the “discovery” and the "postulational” approaches are analyzed within the proposed framework.
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Order Reduction of Linear Dynamic Systems by Improved Routh Approximation Method
TL;DR: In this article, a simplified Routh approximation technique is proposed for the model order reduction (MOR) of large scale linear time-invariant systems, which is based on linear time invariance.
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