AdmmEnv{T,TD,TI}

This structure carries everything required to run ADMM from a given solution.

Model{T,TD,TI}

This contains the parameters specific to ACOPF model instance.

Solution Structure:

• solution.u contain variables for generator and branch kernel
• solution.v contains variables for bus kernel
• Summary Table:

• structure for l and ρ is wrt all element of [x - xbar + z] with same dimension

• structure for sqpline: 6*nline |wijR | w_ijI | wi(ij) | wj(ji) | thetai(ij) | thetaj(ji)|

• Note: line has shared nodes => xbar contain duplications. For example line(1,2) and line(2,3): w2 and theta2 exist twice in v.

• qpsub_membuf structure (dim = 5, used in auglag):

  • |λ1h | λ1i | λ1j| λ1k | ρ_{1h,1i,1j,1k}|
  • For c(x) = 0, ALM = λ*c(x) + (ρ/2)c(x)^2
  • For 1j and 1k, introduce slack tij and tji (see internal branch structure for Exatron)

Parameters

This contains the parameters used in ADMM algorithm.

Solution{T,TD}

This contains the solutions of ACOPF model instance, including the ADMM parameter rho.

This is to share grid data between models. Some fields that could be modified are deeply copied.

This is to share power network data between models. Some fields that could be modified are deeply copied.

This is to share power network data between models. Some fields that could be modified are deeply copied.

Increment inner iteration counter by one.

Increment outer iteration counter by one.

Reset inner iteration counter to zero.

Implement any algorithmic steps required before each inner iteration.

Implement any algorithmic steps required before each outer iteration.

Implement any steps required after the algorithm terminates.

Update multipliers λ for consensus constraints, x - xbar + z = 0.

Compute and update multipliers λ_z for the augmented Lagrangian wit respect to z=0 constraint.

Compute and update the primal and dual residuals at current iteration.

Arguments

• env::AdmmEnv – struct that defines the environment of ADMM
• mod::ModelAcopf – struct that defines model

Notes

The primal and dual residuals are stored in mod.solution.rp and mod.solution.rd, respectively.

Update variable x, representing the variables for generators and lines in the component-based decomposition of ACOPF.

Update variable xbar, representing the variables for buses in the component-based decomposition of ACOPF.

Update variable z, representing the artificial variables that are driven to zero in the two-level ADMM.

Driver to run TRON on GPU. This should be called from a kernel.

Driver to run TRON on GPU. This should be called from a kernel.

tron_gpu_test()

• solves bounded QP: 1/2 x^THx + b*x s.t xl <= x <= xu
• includes evalfkernel(), evalgkernel(), and evalhkernel

Driver to run TRON on GPU. This should be called from a kernel.

Driver to run TRON on GPU. This should be called from a kernel.