A novel analytical model for electrical loads comprising static and dynamic components
Introduction
The importance of power system load characteristics in power system planning and operation is increasing, especially in the competitive industrial environment today. Thus in performing power system analysis, accurate models must be developed for all pertinent system components. Security assessment is even more important than ever, in endeavoring to realize cost-effective power system planning and operation with sufficient reliability. However, the representation of loads continues to be an area of greater uncertainty [1], [2], [3] where knowledge of the demand side of power system is less than that of the supply side. This is quite natural because power system loads consist of a huge number of electric devices geographically distributed and operated at the customers’ own will. Furthermore, little attempt has been made by the various utilities to determine the composition of their loads under present or projected peak conditions. Because of these uncertainties, an accurate representation of loads presents a formidable problem. Electric utility analysts and their management require evidence of the benefits of improved load representation in order to justify the effort and expense of collecting and processing load data and, perhaps, modifying computer program load models.
In this paper, a novel approach is introduced, which results in detailed expressions for the characteristic parameters of electrical loads. The load estimation and aggregation according to its components will help to define the transmission network loading.
Section snippets
Problem formulation
Assuming the voltage and frequency dependence of connected loads to be of an exponential nature, the basic load model can be represented as [4]:where the subscript ‘O’ refers to nominal values.
These equations are based on the basic assumption that, within certain voltage and frequency intervals, the active power (P) and reactive power (Q) vary with voltage (V) and frequency (F). The characteristic parameters pv, pf, qv, and qf are defined as:
Static resistive loads
This section presents the analytical procedure for modeling static resistive loads, which commonly represent the resistive-heating element (heaters) and filament-lamp loads.
Conclusions
The present work gives detailed analytical approach for modeling static loads. Also, dynamic loads are aggregated and modeled in detail. The proposed model takes into account both the voltage and frequency dependence of loads. Results obtained by the proposed model are in good agreement with experimental results published in the literature. The authors feel that the proposed new analytical model is reliable and paves the way for handling composite loads usually encountered in practice.
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