System and method for performing a line-wise power flow analysis for a power system
AssigneesBalasubramanian Venkatesh, Amr Adel Fathy Mohamed
InventorsBalasubramanian Venkatesh, Amr Adel Fathy Mohamed
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Abstract
Various embodiments are provided for conducting a power flow analysis using a set of line-wise power balance equations. In at least some embodiment, the set of line-wise power balance equations is solved using a Newton-Raphson technique. In various cases, the Jacobian matrix generated by the Newton-Raphson technique may directly indicate the transmission lines, or sets of transmission lines, which are most susceptible to voltage collapse. In at least one example application, the set of line-wise power balance equations may be used as equality constraints in an optimal power flow (OPF) formulation for solving an optimal power flow (OPF) problem.
Claims30
A method for conducting a power flow analysis for a power system, the power system comprising at least one transmission branch having a first end coupled to a first bus and a second end coupled to a second bus, the method being implemented by at least one server comprising at least one processor, the method comprising:
- initializing values for a problem vector (W);
- modelling the power system using a set of line-wise power balance equations that are functions of the problem vector (FT(W));
- solving the set of line-wise power balance equations (FT(W)) using a numerical technique to obtain a line-wise solution vector;
- based on the line-wise solution vector, determining whether the power system is in a state of voltage stability;
- and
- implementing a remedial action to stabilize the power system when the power system is not in a state of voltage stability.
A method for minimizing an objective function in respect of a power system, the power system comprising at least one transmission branch having a first end coupled to a first bus and a second end coupled to a second bus, the method being implemented using at least one server comprising at least one processor, the method comprising:
- (a) determining initial values for a control vector (WC);
- (b) using the control vector (WC), solving a set of line-wise power balance equations (FT(W′)) to obtain a problem vector (W′), wherein the problem vector (W′) comprises the control vector (WC) and a dependent vector (WD);
- (c) using the problem vector (W′), solving a line-wise linear optimization formulation to determine an optimal incremental change to the control vector (ΔWC);
- (d) updating the control vector (WC) based on the optimal incremental change in the control vector (ΔWC);
- and
- (e) determining whether the objective function is minimized by determining whether a set of stopping criteria is satisfied based on the updating of the control vector (WC), and
- wherein when the set of stopping criteria is not satisfied, the method comprises iteratively repeating (b) to (d) until the set of stopping criteria is satisfied.
Dependencies are inferred from the claim text.