US 10,594,136 B1Granted

System and method to simulate controls in the holomorphic embedding loadflow calculation

OwnerAntonio Triasinventor

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Abstract

A system and method is presented for enabling the simulation of smooth, unlimited controls in the Holomorphic Embedding Load-flow Method (HELM) for calculating power flows. These are controls that can be expressed as differentiable algebraic expressions of the voltages or power flows. The invention draws on the ability of HELM to turn the powerflow problem into a sequence of linear problems, as well as on the powerful physical intuition that is gained by the underlying methodology. The outcome is that any kind of smooth and unlimited control can be accommodated under the HELM method, preserving all its fundamental properties of reliability and determinism on the obtained solutions. One particularly interesting feature is the automatic treatment of conflicting and/or overlapping controls in an optimal way, via SVD techniques.

Claims10

Dependent claims

A method, comprising:

holomorphically embedding powerflow equations for an electrical grid, wherein the powerflow equations include physical controlling injections;
obtaining an N-th order representation of the holomorphic embedding of the powerflow equations;
holomorphically embedding constraint equations, wherein constraints are associated with controls on the electrical grid;
obtaining an N-th order representation of the constraint equations;
expressing physical injections Jk as a function of underlying mathematical control variables Ig;
obtaining an N-th order representation of the mathematical control variables Ig;
constructing an augmented linear system in the variables for voltage (Vi) and control (Ig) by substituting the value of the physical injections into the powerflow equations and the constraint equations, at order N;
evaluating the augmented linear system at order N to provide a solution to the powerflow equations;
and
displaying the solution to the powerflow equations as a measure of control of the electrical grid.

7 more elements

Dependencies are inferred from the claim text.

Facts

Application: 15/173,706Filed 5 Jun 2016 · us provisional application
Priority: 2 Jul 2015
Granted: 17 Mar 2020
Term ends: Not estimatedThe source records don’t support an estimate.

Classification15 codes

G06Q 10/04
Administration; Management: forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or…
H02J 3/00
Circuit arrangements for ac mains or ac distribution networks
G05B 17/02
Systems involving the use of models or simulators of said systems: electric
G06F 17/11
Complex mathematical operations: for solving equations , e.g. nonlinear equations, general mathematical optimization problems