# Challenge 1 Problem Formulation

**The SCOPF Problem Formulation: Challenge 1 (PDF), dated November 30, 2018, is available here.**

Changes on November 30, 2018, to the previous November 14, 2018 version:

- The interpretation of the R field of the INL file is clarified in sections (A.4, C.11). Specifically, this field is taken as the participation factor of a generator in post-contingency real power output response, which is a dimensionless, nonnegative, real number. The interpretation of R in Table 3 is excluded from its interpretation in the Appendices.
- It can be assumed that any (I, ID, CKT) appearing in a record of the CON file appears also in the RAW file as either a line (non-transformer branch) or a transformer but not both. This assumption is posted in section (C.12).

Changes on November 14, 2018, to the previous November 1, 2018 version :

- Corrected an error in the interpretation of the STATUS field (and other analogous fields with different names) in the Load, Fixed Shunt, and Switched Shunt sections of the RAW file. Previously the STATUS field was ignored. Now we specify that among all loads, fixed shunts, and switched shunts, only those with STATUS = 1 should be added to the model. The changed text appears in Appendix C Construction of Primitive Data from Input Data Files in sections C.4 Load Data from RAW, C.5 Fixed Shunt Data from RAW, and C.9 Switched Shunt Data from RAW.

Changes on November 1, 2018, to the previous August 28, 2018 version include:

- Section 2, Table 6 (page 12): added definition of
*id*at end of table._{g} - Fixed some unit descriptions. Some units were missing time, measured in hours (h). This has been added where needed. This change does not affect the equations of the formulation or of the processing of input data into the data of the formulation. It only affects the clarity of the interpretation of the variables and parameters of the model.
- Appendices added:
- A. Input Data Format (detailed description of the 4 input files summarized under Input Files and Format)
- B. Data Construction Reference Table (index to detailed parameter definitions)
- C. Construction of Primitive Data from Input Data Files (mapping the input data to the formulation)
- D. Construction of Further Data (transformations of input data needed to match formulation)
- E. Solution Output (detailed description of solution files summarized under Output Files and Format)
- F. Solution Evaluation (detailed description of Evaluation procedure summarized under Evaluation)
- G. Change Log (log of changes made to the document)

The Challenge 1 problem is a type of a security-constrained (ac based) optimal power flow, or SCOPF. There are many ways to formulate an SCOPF problem. Competitors are strongly encouraged to study the detailed formulation precisely and to engage with the broader community if anything is not clear (e.g., use the Competition forum).

**The basic features of this SCOPF problem are the following:**

- An alternating current (AC) formulation
- Security constraints (more information to come)
- Pre-contingency (base-case) operational constraints and post-contingency operational constraints
- Preventive and corrective actions
- Transmission (line/transformer) contingency modeling and the corresponding
- Generator contingency modeling
- Bus-branch model
- Load modeling (more information to come)
- Some constraint violations are included in the objective function

**Features that are not modeled within this SCOPF include:**

- Three-winding transformers.
- Transformer tap settings
- Phase angle regulators
- Various flexible ac transmission system (FACTS) devices
- Switchable shunts (shunts are included but we are not precisely modeling the binary nature of switchable shunts)
- Generator ramp rates and start-up and shut-down costs
- Multiple time intervals

**The following variables must be supplied explicitly by the solution files and will be subject to bounds that are enforced as hard constraints:**

- Bus voltage magnitude in the base case and contingencies
- Generator real and reactive power in the base case and contingencies
- Switched shunt susceptance in the base case and contingencies
- Droop control in the base case and contingencies
- PV/PQ switching in the base case and contingencies

**There are linear penalties on violations on the following constraints:**

- Bus real and reactive power balance in the base case and contingencies
- Line apparent current limit in the base case and contingencies
- Transformer apparent power limit in the base case and contingencies

Information about the Evaluation source code, which reads the input files and the solution output files to calculate the objective function score, is available on the Evaluation page.