1. Theoretical Model and Computer Simulation of Power Utility Matrix for the Integrated Distributed Energy Resources
- Author
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A.J. Jin, J. SU, and D. Liu
- Abstract
In this article, the authors methodically study the optimized distributed energy resources (DER)/ systems in terms of energy generation, consumption, transaction, and scheduling. They discovered a mathematical model that allows the users/ prosumers to arrive at the optimal trade-off among the three critical output functions including the output power, the energy benefit/cost, and its carbon footprint in operation. Systematic characterization in the given scenarios was discussed. Math model is classified into three or more eigenstates of the power utility matrix (PUM) model which is, in the linear algebra, also called the eigenstates approach [in Eigen space]. Mathematical model is a major discovery that has PUM and renders a transformation framework. This article investigates a type of so-called 3i3o model transforming three input variables/ parameters [or 3i parameters in the present case] into three output functions [or 3o functions]. Eigenstates approach of PUM may conveniently decouple the three critical outputs from one another; i.e., within a specified range, the user can increase the power output without affecting the amount of carbon by-product (output for DER, and with renewable energies). Furthermore, computer modeling is employed to resolve the optimal scheduling of energy within/ among the energy sources. Energy blockchain (EBC) approach further studies the values of several design rules. Theoretical model leads to a value dependency law that helps the users/ prosumers to benefit financially from DER. Finally, a carbon emission law of PUM is discovered within the DER design and is investigated in detail.
- Published
- 2022
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