Animation and Visualization of Spot Prices via Quadratized Power Flow Analysis

This paper presents a new model for efficient calculation of spot prices and animation and visualization of spot price evolution as the system operating point is changing. The computational method is based on the quadratized power flow approach that cast the power flow problem as a set of quadratic equations. The load model consists of constant power, constant impedance and induction motor loads. The electric load time variation is modeled via a small set of independent random variables resulting in a nonconforming electric load model. Constraints of voltage limits as well as circuit loading are imposed. For a specific load point, the operation of the system is determined by the appropriate formulation of the power flow problem and subsequent solution. At this operating point, the spot prices are computed from a linear program defined at the operating point. The results are visualized in a three-dimensional OpenGL display. As the system load evolves, the spot prices are recomputed and the visualization display is updated thus generating an animated evolution of the system spot prices. The paper describes the proposed computational method and discusses the efficiency of the proposed method. The method is also demonstrated on the IEEE RTS system which has been modified to include a model of a spot price market. The presentation of the paper will include a demonstration of the visualization and animation of the spot prices for the IEEE RTS system.