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Using split-step fourier transform method solving parabolic equation is an effective method for predicting radiowave propagation above earth surface. In this paper the backward difference is adopted to improve the discrete mixed fourier transform algorithm, shift map method is also introduced to consider irregular terrains. Radiowave propagation is then predicted under vacuum and non-vacuum air conditions...
This paper presents a bi-level consumer-utility optimization model to schedule an energy consumption pattern of controllable loads in the face of a time varying price function depending on system conditions and market operations. The controllable loads are classified into three types based on their natures and operating characteristics for an upper-level consumer's problem. To formulate the stochastic...
This paper presents a bi-level aggregator-utility optimization model to schedule an energy consumption pattern of controllable loads in a power system with a high penetration of renewables. The upper level is an aggregator's problem which aims to minimize the electricity payment by managing the energy consumption of three types of controllable loads. On the other hand, the lower level is a utility's...
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