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doc: 完善文档和例程

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README.md 0 → 100644
# SOLVER-EMBEDDED Model Examples
This repository provides small model/example suites for an external solver, organized by model type:
- [leq/](leq/): linear equation systems (Ax = b) examples
- [neq/](neq/): nonlinear equation systems f(x)=0 examples
- [nlp/](nlp/): nonlinear programming (NLP) examples (includes AC-OPF benchmarks)
- [milp/](milp/): mixed-integer linear programming (MILP) examples
Each folder contains paired `*.model` / `*.solution` files:
- `*.model` is the input model text consumed by the solver
- `*.solution` is the reference (ground-truth) result for validation
All other top-level folders are currently **work in progress (WIP)**.
## Other directories (WIP)
The following top-level directories are under active development and are not part of the stable example suites yet:
- [data/](data/)
- [index/](index/)
- [rsdss/](rsdss/)
- [rspower/](rspower/)
- [rustscript/](rustscript/)
- [target/](target/)
## CLI usage (model selection)
The solver CLI supports selecting **at most one** model input at a time:
- `./solver_embedded --nlp <FILE or String>`
- `./solver_embedded --milp <FILE or String>`
- `./solver_embedded --leq <FILE or String>`
- `./solver_embedded --neq <FILE or String>`
Inputs can be provided either as:
- a file path, or
- an inline string
### Splitting rules (common)
- If the input contains `;` -> split by `;`
- Otherwise -> split by lines
## Model formats (summary)
### NLP (`--nlp`)
- Overall:
- `<Objective>;`
- `<Constraint1>;`
- `...`
- `<VariableBounds>;` (**must be last**)
- Constraints use range form: `<expr>:[lower/upper]`
- Variables use bounds/initial value: `xi:[lower/upper/init]`
### MILP (`--milp`)
- Overall:
- `<Objective>;`
- `<Constraint1>;`
- `...`
- `<VariableTypes>;` (**must be last**)
- Constraints use boolean comparisons: `<=`, `>=`, `==`
- Variable types (last line): `x1:1, x2:2, ...`
- `1` binary, `2` integer, `3` real/continuous
### LEQ (`--leq`)
- Overall:
- `<Eq1>;`
- `<Eq2>;`
- `...`
- `<Variables>;` (**must be last**)
- Each equation is interpreted as `<expr> = 0`
- Variables (last line): `x1, x2, x3, ...`
### NEQ (`--neq`)
- Same overall format as `--leq`, but nonlinear:
- equations are interpreted as `<expr> = 0`
- variables are listed on the last line
## Where to start
- LEQ toy examples: [leq/examples/basic/](leq/examples/basic/)
- NEQ toy examples: [neq/examples/basic/](neq/examples/basic/)
- NLP toy examples: [nlp/examples/basic/](nlp/examples/basic/)
- MILP toy examples: [milp/examples/basic/](milp/examples/basic/)
leq/README.md 0 → 100644
# LEQ Examples (Linear Equations)
This folder contains **linear-equation (LEQ)** toy benchmarks.
The purpose is to provide very small, solver-friendly instances so an external program can quickly validate:
- parsing of `*.model`
- solving a linear system
- matching the reference `*.solution`
## What the examples mean
Each example is a reproducible linear-equations benchmark:
- **Input**: a `*.model` file describing a system of equations (typically linear)
- **Reference output**: a matching `*.solution` file containing a known-correct solution vector
## `.model` format
A `*.model` file is plain text:
- one equation per line, terminated by `;`
- the last line is the **variable list** (comma-separated)
- optional initial guesses can be provided using `name:value` (e.g., `x:0`)
The variable list order defines the order of values in the `.solution` file.
## `.solution` format
A `*.solution` file contains one numeric value per line, ordered exactly as the variable list in the corresponding `.model`.
## Directory layout
- [leq/examples/basic/](leq/examples/basic/): simple LEQ toy problems
## How to use this
Run your solver in “nonlinear equations” mode and pass the model file, for example:
- `solver_embedded --neq path/to/case5_pf_polar.model`
Then compare your solver’s solution vector against `case5_pf_polar.solution`.
> Note: the exact CLI flag name depends on your solver/application (this repo only defines the `*.model/*.solution` formats and the examples).
leq/examples/basic/linear_3x3.model 0 → 100644
x+y+z-6;
2*x-y+z-3;
-x+2*y+3*z-14;
x:0,y:0,z:0
leq/examples/basic/linear_3x3.solution 0 → 100644
Variable values:
x: 0.5555555555555555
y: 1.7777777777777777
z: 3.6666666666666665
milp/README.md 0 → 100644
# MILP Examples (Mixed-Integer Linear Programming)
This folder contains **MILP** benchmark instances.
The main purpose is to provide small, solver-friendly examples so an external program can validate its MILP pipeline:
- `*.model`: the MILP instance (objective + constraints + variable type declarations)
- `*.solution`: the **reference (ground-truth) solution** for that model
These examples are intended for automated regression checks and solver benchmarking. Detailed format/CLI usage is documented elsewhere.
## Directory layout
- [milp/examples/basic/](milp/examples/basic/): small MILP toy problems
## `.solution` format (reference solution)
A `*.solution` file contains one numeric value per line.
- The values are ordered **exactly as the variable list on the last line of the corresponding `.model` file**.
## How to use this
Run your solver in “nonlinear equations” mode and pass the model file, for example:
- `solver_embedded --neq path/to/case5_pf_polar.model`
Then compare your solver’s solution vector against `case5_pf_polar.solution`.
> Note: the exact CLI flag name depends on your solver/application (this repo only defines the `*.model/*.solution` formats and the examples).
milp/examples/basic/assignment_2x2.model 0 → 100644
1*x11 + 3*x12 + 2*x21 + 1*x22;
x11 + x12 == 1;
x21 + x22 == 1;
x11 + x21 == 1;
x12 + x22 == 1;
x11:1, x12:1, x21:1, x22:1;
milp/examples/basic/assignment_2x2.solution 0 → 100644
Reading model from file: milp/examples/basic/assignment_2x2.model
Constructing model...
Model constructed. Solving...
Solution found.
Objective value: 2
Iteration count: 0
Variable values:
x11: 1
x12: 0
x21: 0
x22: 1
milp/examples/basic/knapsack_3.model 0 → 100644
max(3*x1 + 2*x2 + 4*x3);
2*x1 + 1*x2 + 3*x3 <= 4;
x1:1, x2:1, x3:1;
milp/examples/basic/knapsack_3.solution 0 → 100644
Reading model from file: milp/examples/basic/knapsack_3.model
Constructing model...
Model constructed. Solving...
Solution found.
Objective value: 6
Iteration count: 0
Variable values:
x1: 0
x2: 1
x3: 1
milp/examples/basic/mixed_types_small.model 0 → 100644
min(x + 2*y + 0.5*z);
x + y >= 3;
x - z == 1;
y <= 4;
x >= 0;
y >= 0;
z >= 0;
x:2, y:2, z:3;
milp/examples/basic/mixed_types_small.solution 0 → 100644
Reading model from file: milp/examples/basic/mixed_types_small.model
Constructing model...
Model constructed. Solving...
Solution found.
Objective value: 4
Iteration count: 0
Variable values:
x: 3
y: -0
z: 2
neq/README.md 0 → 100644
# NEQ Examples (AC Power Flow as Nonlinear Equations)
This folder contains **nonlinear-equation (NEQ)** benchmark instances for **AC power flow (PF)**.
The underlying test cases are based on **IEEE/MATPOWER** networks. The repository ships ready-to-use examples; you typically only need to point your external solver at a `*.model` file and validate against the matching `*.solution`.
## What the examples mean (main point)
Each example is a reproducible PF-NEQ benchmark:
- **Input**: a `*.model` file describing a system of nonlinear equations $F(x)=0$
- **Reference output**: a matching `*.solution` file containing a known-correct solution vector for that model
Your external solver reads the `.model`, solves the nonlinear system, then compares its solution against the `.solution`.
## Directory layout
- [neq/examples/](neq/examples/)
- `pf_polar/`: power-flow equations in **polar** voltage coordinates
- `basic/`: small, solver-friendly NEQ toy problems (no power-system context)
## Naming convention
- Polar PF
- `pf_polar/<case>_pf_polar.model`
- `pf_polar/<case>_pf_polar.solution`
- Basic NEQ
- `basic/<name>.model`
- `basic/<name>.solution`
## `.model` format (NEQ model)
A `*.model` file is plain text and typically contains:
- A list of equations, one per line, each terminated by `;`
- A final **variable list line**, where variables are comma-separated
### Variable list and initial guesses
The final line lists the variables (and optional initial guesses) in the exact order used by the solution vector.
- Variables may optionally carry an initial guess using `name:value` (e.g., `V1:1`)
- Variables without `:value` have no explicit initial guess in the file
Example pattern:
- `V1:1,V2:1,...,THETA1,THETA2,...,QG1,QG2,...,PG_balancenode`
## `.solution` format (reference solution)
A `*.solution` file contains one numeric value per line.
- The values are ordered **exactly as the variable list on the last line of the corresponding `.model` file**.
## How to use this
Run your solver in “nonlinear equations” mode and pass the model file, for example:
- `solver_embedded --neq path/to/case5_pf_polar.model`
Then compare your solver’s solution vector against `case5_pf_polar.solution`.
> Note: the exact CLI flag name depends on your solver/application (this repo only defines the `*.model/*.solution` formats and the examples).
neq/examples/basic/circle_line.solution 0 → 100644
Variable values:
x: 0.7071067811865476
y: 0.7071067811865476
neq/examples/basic/sqrt2.model 0 → 100644
x^2-2;
x:1.414
\ No newline at end of file
neq/examples/basic/sqrt2.solution 0 → 100644
Variable values:
x: 1.4142135623730951
neq/examples/basic/trig_single.solution 0 → 100644
Variable values:
x: 0.5235987755982988
neq/examples/pf_polar/case5_pf_polar.model 0 → 100755
2.10000000-0.00000000-V1*(V1*(22.25068569)+V2*(-3.52348402*cos(THETA1-THETA2)+35.23484021*sin(THETA1-THETA2))+V4*(-3.25690464*cos(THETA1-THETA4)+32.56904638*sin(THETA1-THETA4))+V5*(-15.47029703*cos(THETA1-THETA5)+154.70297030*sin(THETA1-THETA5)));
0.00000000-3.00000000-V2*(V1*(-3.52348402*cos(THETA2-THETA1)+35.23484021*sin(THETA2-THETA1))+V2*(12.69106745)+V3*(-9.16758343*cos(THETA2-THETA3)+91.67583425*sin(THETA2-THETA3)));
3.23490000-3.00000000-V3*(V2*(-9.16758343*cos(THETA3-THETA2)+91.67583425*sin(THETA3-THETA2))+V3*(12.50125013)+V4*(-3.33366670*cos(THETA3-THETA4)+33.33666700*sin(THETA3-THETA4)));
PG_balancenode-4.00000000-V4*(V1*(-3.25690464*cos(THETA4-THETA1)+32.56904638*sin(THETA4-THETA1))+V3*(-3.33366670*cos(THETA4-THETA3)+33.33666700*sin(THETA4-THETA3))+V4*(9.92423804)+V5*(-3.33366670*cos(THETA4-THETA5)+33.33666700*sin(THETA4-THETA5)));
4.66510000-0.00000000-V5*(V1*(-15.47029703*cos(THETA5-THETA1)+154.70297030*sin(THETA5-THETA1))+V4*(-3.33366670*cos(THETA5-THETA4)+33.33666700*sin(THETA5-THETA4))+V5*(18.80396373));
QG1+QG2-0.00000000-V1*(V1*(--222.48437689)+V2*(-3.52348402*sin(THETA1-THETA2)-35.23484021*cos(THETA1-THETA2))+V4*(-3.25690464*sin(THETA1-THETA4)-32.56904638*cos(THETA1-THETA4))+V5*(-15.47029703*sin(THETA1-THETA5)-154.70297030*cos(THETA1-THETA5)));
-0.98610000-V2*(V1*(-3.52348402*sin(THETA2-THETA1)-35.23484021*cos(THETA2-THETA1))+V2*(--126.89785446)+V3*(-9.16758343*sin(THETA2-THETA3)-91.67583425*cos(THETA2-THETA3)));
QG3-0.98610000-V3*(V2*(-9.16758343*sin(THETA3-THETA2)-91.67583425*cos(THETA3-THETA2))+V3*(--124.99987125)+V4*(-3.33366670*sin(THETA3-THETA4)-33.33666700*cos(THETA3-THETA4)));
QG4-1.31470000-V4*(V1*(-3.25690464*sin(THETA4-THETA1)-32.56904638*cos(THETA4-THETA1))+V3*(-3.33366670*sin(THETA4-THETA3)-33.33666700*cos(THETA4-THETA3))+V4*(--99.23235038)+V5*(-3.33366670*sin(THETA4-THETA5)-33.33666700*cos(THETA4-THETA5)));
QG5-0.00000000-V5*(V1*(-15.47029703*sin(THETA5-THETA1)-154.70297030*cos(THETA5-THETA1))+V4*(-3.33366670*sin(THETA5-THETA4)-33.33666700*cos(THETA5-THETA4))+V5*(--188.02063730));
V1-1.00000000;
V3-1.00000000;
V4-1.00000000;
V5-1.00000000;
THETA4;
QG2-4.25*QG1;
V1:1,V2:1,V3:1,V4:1,V5:1,THETA1,THETA2,THETA3,THETA4,THETA5,QG1,QG2,QG3,QG4,QG5,PG_balancenode
\ No newline at end of file
neq/examples/pf_polar/case5_pf_polar.solution 0 → 100755
Variable values:
V1: 1
V2: 0.9892612371183941
V3: 1
V4: 1
V5: 1
THETA1: 0.05713092450763908
THETA2: -0.013251748935894637
THETA3: -0.008591534693000804
THETA4: 0
THETA5: 0.07176847990433495
QG1: 0.058524114048747106
QG2: 0.2487274847071752
QG3: 1.9465472018681285
QG4: 1.841229301609696
QG5: -0.38209623444663354
PG_balancenode: 0.05027180043443861
nlp/README.md 0 → 100644
# NLP Examples (AC Optimal Power Flow)
This folder provides **AC Optimal Power Flow (AC-OPF)** benchmark instances written as **Nonlinear Programming (NLP)** models in two coordinate systems:
- **Polar**: voltage state variables are $V$ and $\theta$.
- **Rectangular**: voltage state variables are $e$ and $f$ (i.e., $V\cos\theta$ and $V\sin\theta$).
The underlying cases come from **IEEE test systems / MATPOWER**. This repo already ships ready-to-use `*.model/*.solution` examples. **MATLAB** (with MATPOWER; IPOPT used by MATPOWER OPF) is only needed if you want to regenerate or add new examples.
The purpose of these examples is:
- `*.model`: input for an **external solver** (e.g., via a `--nlp` flag)
- `*.solution`: the **reference (ground-truth) solution** for that model, used to validate your solver
## What the examples mean (main point)
Each example is a reproducible OPF-NLP benchmark:
- **Input**: a `*.model` file
- **Reference output**: a matching `*.solution` file
Your solver reads the `.model`, solves it, then you compare your solver’s objective/variables against the `.solution`.
## `.model` (model file) and variable definitions
`*.model` is a plain-text NLP description:
1. **Line 1**: objective function (typically a polynomial cost in generator active powers `PGk`)
2. **Last line**: variable definitions with bounds and an initial value, written like: `PG1:[lb/ub/x0]`
Variables:
- Polar: `PGk, QGk, Vi, THETAi`
- `Vi`: bus voltage magnitude
- `THETAi`: bus voltage angle (radians)
- Rectangular: `PGk, QGk, ei, fi`
- `ei = Vi*cos(THETAi)`
- `fi = Vi*sin(THETAi)`
## `.solution` (reference solution)
`*.solution` is the reference answer for the corresponding `.model`:
1. Line 1: optimal objective value
2. Remaining lines: optimal variable values, written one value per line, in a fixed order (consistent with the generator that produced the files)
## Directory layout
- [nlp/examples/](nlp/examples/)
- `opf_polar/`: paired polar OPF `*.model/*.solution`
- `opf_rectangular/`: paired rectangular OPF `*.model/*.solution`
- `basic/`: small, solver-friendly NLP toy problems (no power-system context)
## Naming convention
- Polar
- `opf_polar/<case>_opf_polar.model`
- `opf_polar/<case>_opf_polar.solution`
- Rectangular
- `opf_rectangular/<case>_opf_rectangular.model`
- `opf_rectangular/<case>_opf_rectangular.solution`
- Basic NLP
- `basic/<name>.model`
- `basic/<name>.solution`
## How to use this
Run your solver in “nonlinear equations” mode and pass the model file, for example:
- `solver_embedded --neq path/to/case5_pf_polar.model`
Then compare your solver’s solution vector against `case5_pf_polar.solution`.
> Note: the exact CLI flag name depends on your solver/application (this repo only defines the `*.model/*.solution` formats and the examples).
nlp/examples/basic/bound_only.solution 0 → 100644
Objective value: 0.9999999800113316
Variable values:
x: 0.9999999900056658
nlp/examples/basic/linear_obj_box.solution 0 → 100644
Objective value: -0.00000001998010154167314
Variable values:
x: -0.000000009990041325677582
y: -0.000000009990060215995557
nlp/examples/basic/quad_eq_constraint.model 0 → 100644
x^2+y^2
x+y-1:[0/0]
x:[-10/10/0],y:[-10/10/0]
nlp/examples/basic/quad_eq_constraint.solution 0 → 100644
Objective value: 0.5
Variable values:
x: 0.5
y: 0.5
nlp/examples/basic/quad_unconstrained.model 0 → 100644
(x-1)^2+(y+2)^2
x:[-10/10/0],y:[-10/10/0]
nlp/examples/basic/quad_unconstrained.solution 0 → 100644
Objective value: 0.00000000000000000000000031936310214511156
Variable values:
x: 0.9999999999997539
y: -1.9999999999994913
nlp/examples/opf_polar/case118_opf_polar.solution 0 → 100755
Objective value: 129660.69426983486
Variable values:
PG1: 0.26489092101208167
PG2: -0.000000009993851758870091
PG3: -0.000000009664912395900949
PG4: -0.00000000999467101247084
PG5: 4.018745328555425
PG6: 0.8579383495057311
PG7: 0.20883885112454445
PG8: 0.13226152573086974
PG9: 0.2158327352125426
PG10: -0.000000009994178676997486
PG11: 1.9381383584149545
PG12: 2.797622095372388
PG13: 0.09922486524043164
PG14: 0.0724827053269045
PG15: 0.14862584892892652
PG16: 0.048878115834592756
PG17: 0.10662711228202874
PG18: 0.4932182860801038
PG19: 0.4099496408174295
PG20: 0.19038967367981582
PG21: 1.9333231299535356
PG22: 0.49542311416148666
PG23: 0.32134223196088957
PG24: 0.32560171918065517
PG25: 1.497048081053866
PG26: 1.4841482180806427
PG27: -0.000000009996732782577231
PG28: 3.522362479932359
PG29: 3.48858350175698
PG30: 4.536660589674946
PG31: -0.000000009984991977585135
PG32: -0.000000009984028730641742
PG33: -0.00000000997944924410842
PG34: 0.16931259991382816
PG35: 0.22853031987666378
PG36: -0.000000009996121509350542
PG37: 4.308410861586784
PG38: -0.00000000999815833741593
PG39: 0.03626209754123644
PG40: 5.018441430759849
PG41: -0.000000009997607223820696
PG42: -0.000000009997813751427511
PG43: -0.000000009998285413996858
PG44: -0.000000009996964564425598
PG45: 2.312945041057966
PG46: 0.3824623084720315
PG47: -0.000000009964471842154236
PG48: 0.05163093439541828
PG49: 0.2902752462615965
PG50: 0.07034102631155857
PG51: 0.3524183966197221
PG52: 0.36482232403348375
PG53: -0.00000000998093237045325
PG54: -0.000000009997959610099635
QG1: 0.1500000099854358
QG2: 0.7151774496805137
QG3: 0.3328592064878397
QG4: -0.7863246462127866
QG5: -0.9967651318891715
QG6: 0.5443951671849059
QG7: 0.23840554739787054
QG8: 0.30453570313478506
QG9: 0.23999999027885724
QG10: -0.07305198077112256
QG11: -0.47000000996901836
QG12: -0.27577294321949514
QG13: 0.25533859811649967
QG14: 0.27186813082304817
QG15: 0.21829637733324478
QG16: -0.08000000751722203
QG17: 0.19821470632390675
QG18: 0.28759610341044756
QG19: 0.22097687257787504
QG20: -0.04143938763910663
QG21: 0.19679968920102672
QG22: 0.3479298017494827
QG23: 0.19974959056023925
QG24: 0.14999944770215162
QG25: 0.9566877691459345
QG26: 0.31962907935214796
QG27: 0.008845268620298054
QG28: -0.6700000092918468
QG29: -0.6700000099809423
QG30: -1.1109657087425082
QG31: 0.2887774465535686
QG32: -0.052012563436543514
QG33: -0.022198562135312534
QG34: 0.0900000099821025
QG35: 0.2300000099907799
QG36: 0.7000000097166608
QG37: -0.09433258482195128
QG38: 0.23000000996044162
QG39: 0.0354155255951089
QG40: -0.24016157428962587
QG41: 0.4721468494264925
QG42: 0.015562923847368683
QG43: 0.09000000996243976
QG44: -0.03173914902883613
QG45: 0.45758109765429217
QG46: 0.11701850002775484
QG47: 0.22999729416265752
QG48: 0.09212092824564275
QG49: 0.03257364785794285
QG50: 0.19675396248147267
QG51: -0.002482234924883565
QG52: 0.1027985523868528
QG53: -0.10232893866147193
QG54: 0.06415946506832229
V1: 1.033169722069846
V2: 1.0387968132002214
V3: 1.0380037822109343
V4: 1.060000010592596
V5: 1.0574525176585308
V6: 1.052694369028357
V7: 1.051017313204849
V8: 1.040988229894542
V9: 1.060000010599361
V10: 1.0529795595926108
V11: 1.046005566253295
V12: 1.0499550517842382
V13: 1.0344770364992384
V14: 1.0488068504239048
V15: 1.0485626161968102
V16: 1.0461369735949668
V17: 1.0600000105905163
V18: 1.050323858003731
V19: 1.047786884785623
V20: 1.036185390081949
V21: 1.0313270784448427
V22: 1.0345717451552605
V23: 1.0487436142355784
V24: 1.0462081881281815
V25: 1.060000010599637
V26: 1.0267818598926335
V27: 1.0413721354686425
V28: 1.0348812077382528
V29: 1.035431521806908
V30: 1.0311990277520577
V31: 1.0385626254969436
V32: 1.0410403558723802
V33: 1.0461533365849596
V34: 1.0559212182543336
V35: 1.0539852477132325
V36: 1.0542609746988716
V37: 1.0600000105945997
V38: 1.0150293611328387
V39: 1.0424525530702975
V40: 1.0424887330589474
V41: 1.0354647952014888
V42: 1.0406221398332964
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THETA38: 0.3714292127747806
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THETA61: 0.4427168224613562
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THETA72: 0.4011308091070027
THETA73: 0.40732094086291115
THETA74: 0.3998133835265124
THETA75: 0.414976691585791
THETA76: 0.39974577718983534
THETA77: 0.4558990555294712
THETA78: 0.4511129084442927
THETA79: 0.45590405014634255
THETA80: 0.49307823673271595
THETA81: 0.49060036997524253
THETA82: 0.44459705016826956
THETA83: 0.45236360443352386
THETA84: 0.47424506413579076
THETA85: 0.48983631137678596
THETA86: 0.4703841997911909
THETA87: 0.47565260015284194
THETA88: 0.5265177514372392
THETA89: 0.5817427604851412
THETA90: 0.4872636695006968
THETA91: 0.492465741493699
THETA92: 0.5134952019222329
THETA93: 0.48424577474246877
THETA94: 0.4658501939287875
THETA95: 0.4528438014528895
THETA96: 0.453320367881844
THETA97: 0.4671720579104756
THETA98: 0.4657773967471702
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THETA100: 0.4737822945732409
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THETA106: 0.387065996626997
THETA107: 0.37071694674966515
THETA108: 0.3862762400809725
THETA109: 0.3847171770670297
THETA110: 0.38584890009352885
THETA111: 0.41003247053924446
THETA112: 0.36698072075581745
THETA113: 0.3332052495196694
THETA114: 0.3336430965351864
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THETA116: 0.4814572703142091
THETA117: 0.2872884699170773
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nlp/examples/opf_polar/case13659pegase_opf_polar.model 0 → 100755
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nlp/examples/opf_polar/case13659pegase_opf_polar.solution 0 → 100755
thread 'main' (1267568) panicked at /home/dirreck/Desktop/eig-rc/rust-autograd/src/graph.rs:41:13:
Maximum graph size exceeded: 10000000. Use Graph::clear, or stop using loops in the VariableEnvironment::run block
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
nlp/examples/opf_polar/case14_opf_polar.model 0 → 100755
430.29259900*PG1^2+2000.00000000*PG1+2500.00000000*PG2^2+2000.00000000*PG2+100.00000000*PG3^2+4000.00000000*PG3+100.00000000*PG4^2+4000.00000000*PG4+100.00000000*PG5^2+4000.00000000*PG5
PG1-0.00000000-V1*(V1*(6.02502906)+V2*(-4.99913160*cos(THETA1-THETA2)+15.26308652*sin(THETA1-THETA2))+V5*(-1.02589745*cos(THETA1-THETA5)+4.23498368*sin(THETA1-THETA5))):[0/0]
PG2-0.21700000-V2*(V1*(-4.99913160*cos(THETA2-THETA1)+15.26308652*sin(THETA2-THETA1))+V2*(9.52132361)+V3*(-1.13501919*cos(THETA2-THETA3)+4.78186315*sin(THETA2-THETA3))+V4*(-1.68603315*cos(THETA2-THETA4)+5.11583833*sin(THETA2-THETA4))+V5*(-1.70113967*cos(THETA2-THETA5)+5.19392740*sin(THETA2-THETA5))):[0/0]
PG3-0.94200000-V3*(V2*(-1.13501919*cos(THETA3-THETA2)+4.78186315*sin(THETA3-THETA2))+V3*(3.12099490)+V4*(-1.98597571*cos(THETA3-THETA4)+5.06881698*sin(THETA3-THETA4))):[0/0]
-0.47800000-V4*(V2*(-1.68603315*cos(THETA4-THETA2)+5.11583833*sin(THETA4-THETA2))+V3*(-1.98597571*cos(THETA4-THETA3)+5.06881698*sin(THETA4-THETA3))+V4*(10.51298952)+V5*(-6.84098066*cos(THETA4-THETA5)+21.57855398*sin(THETA4-THETA5))+V7*(0.00000000*cos(THETA4-THETA7)+4.88951266*sin(THETA4-THETA7))+V9*(0.00000000*cos(THETA4-THETA9)+1.85549956*sin(THETA4-THETA9))):[0/0]
-0.07600000-V5*(V1*(-1.02589745*cos(THETA5-THETA1)+4.23498368*sin(THETA5-THETA1))+V2*(-1.70113967*cos(THETA5-THETA2)+5.19392740*sin(THETA5-THETA2))+V4*(-6.84098066*cos(THETA5-THETA4)+21.57855398*sin(THETA5-THETA4))+V5*(9.56801778)+V6*(0.00000000*cos(THETA5-THETA6)+4.25744534*sin(THETA5-THETA6))):[0/0]
PG4-0.11200000-V6*(V5*(0.00000000*cos(THETA6-THETA5)+4.25744534*sin(THETA6-THETA5))+V6*(6.57992341)+V11*(-1.95502856*cos(THETA6-THETA11)+4.09407434*sin(THETA6-THETA11))+V12*(-1.52596744*cos(THETA6-THETA12)+3.17596397*sin(THETA6-THETA12))+V13*(-3.09892740*cos(THETA6-THETA13)+6.10275545*sin(THETA6-THETA13))):[0/0]
-0.00000000-V7*(V4*(0.00000000*cos(THETA7-THETA4)+4.88951266*sin(THETA7-THETA4))+V7*(0.00000000)+V8*(0.00000000*cos(THETA7-THETA8)+5.67697985*sin(THETA7-THETA8))+V9*(0.00000000*cos(THETA7-THETA9)+9.09008272*sin(THETA7-THETA9))):[0/0]
PG5-0.00000000-V8*(V7*(0.00000000*cos(THETA8-THETA7)+5.67697985*sin(THETA8-THETA7))+V8*(0.00000000)):[0/0]
-0.29500000-V9*(V4*(0.00000000*cos(THETA9-THETA4)+1.85549956*sin(THETA9-THETA4))+V7*(0.00000000*cos(THETA9-THETA7)+9.09008272*sin(THETA9-THETA7))+V9*(5.32605504)+V10*(-3.90204955*cos(THETA9-THETA10)+10.36539413*sin(THETA9-THETA10))+V14*(-1.42400549*cos(THETA9-THETA14)+3.02905046*sin(THETA9-THETA14))):[0/0]
-0.09000000-V10*(V9*(-3.90204955*cos(THETA10-THETA9)+10.36539413*sin(THETA10-THETA9))+V10*(5.78293431)+V11*(-1.88088475*cos(THETA10-THETA11)+4.40294375*sin(THETA10-THETA11))):[0/0]
-0.03500000-V11*(V6*(-1.95502856*cos(THETA11-THETA6)+4.09407434*sin(THETA11-THETA6))+V10*(-1.88088475*cos(THETA11-THETA10)+4.40294375*sin(THETA11-THETA10))+V11*(3.83591332)):[0/0]
-0.06100000-V12*(V6*(-1.52596744*cos(THETA12-THETA6)+3.17596397*sin(THETA12-THETA6))+V12*(4.01499203)+V13*(-2.48902459*cos(THETA12-THETA13)+2.25197463*sin(THETA12-THETA13))):[0/0]
-0.13500000-V13*(V6*(-3.09892740*cos(THETA13-THETA6)+6.10275545*sin(THETA13-THETA6))+V12*(-2.48902459*cos(THETA13-THETA12)+2.25197463*sin(THETA13-THETA12))+V13*(6.72494615)+V14*(-1.13699416*cos(THETA13-THETA14)+2.31496348*sin(THETA13-THETA14))):[0/0]
-0.14900000-V14*(V9*(-1.42400549*cos(THETA14-THETA9)+3.02905046*sin(THETA14-THETA9))+V13*(-1.13699416*cos(THETA14-THETA13)+2.31496348*sin(THETA14-THETA13))+V14*(2.56099964)):[0/0]
QG1-0.00000000-V1*(V1*(--19.44707021)+V2*(-4.99913160*sin(THETA1-THETA2)-15.26308652*cos(THETA1-THETA2))+V5*(-1.02589745*sin(THETA1-THETA5)-4.23498368*cos(THETA1-THETA5))):[0/0]
QG2-0.12700000-V2*(V1*(-4.99913160*sin(THETA2-THETA1)-15.26308652*cos(THETA2-THETA1))+V2*(--30.27211540)+V3*(-1.13501919*sin(THETA2-THETA3)-4.78186315*cos(THETA2-THETA3))+V4*(-1.68603315*sin(THETA2-THETA4)-5.11583833*cos(THETA2-THETA4))+V5*(-1.70113967*sin(THETA2-THETA5)-5.19392740*cos(THETA2-THETA5))):[0/0]
QG3-0.19000000-V3*(V2*(-1.13501919*sin(THETA3-THETA2)-4.78186315*cos(THETA3-THETA2))+V3*(--9.82238013)+V4*(-1.98597571*sin(THETA3-THETA4)-5.06881698*cos(THETA3-THETA4))):[0/0]
--0.03900000-V4*(V2*(-1.68603315*sin(THETA4-THETA2)-5.11583833*cos(THETA4-THETA2))+V3*(-1.98597571*sin(THETA4-THETA3)-5.06881698*cos(THETA4-THETA3))+V4*(--38.65417121)+V5*(-6.84098066*sin(THETA4-THETA5)-21.57855398*cos(THETA4-THETA5))+V7*(0.00000000*sin(THETA4-THETA7)-4.88951266*cos(THETA4-THETA7))+V9*(0.00000000*sin(THETA4-THETA9)-1.85549956*cos(THETA4-THETA9))):[0/0]
-0.01600000-V5*(V1*(-1.02589745*sin(THETA5-THETA1)-4.23498368*cos(THETA5-THETA1))+V2*(-1.70113967*sin(THETA5-THETA2)-5.19392740*cos(THETA5-THETA2))+V4*(-6.84098066*sin(THETA5-THETA4)-21.57855398*cos(THETA5-THETA4))+V5*(--35.53363946)+V6*(0.00000000*sin(THETA5-THETA6)-4.25744534*cos(THETA5-THETA6))):[0/0]
QG4-0.07500000-V6*(V5*(0.00000000*sin(THETA6-THETA5)-4.25744534*cos(THETA6-THETA5))+V6*(--17.34073281)+V11*(-1.95502856*sin(THETA6-THETA11)-4.09407434*cos(THETA6-THETA11))+V12*(-1.52596744*sin(THETA6-THETA12)-3.17596397*cos(THETA6-THETA12))+V13*(-3.09892740*sin(THETA6-THETA13)-6.10275545*cos(THETA6-THETA13))):[0/0]
-0.00000000-V7*(V4*(0.00000000*sin(THETA7-THETA4)-4.88951266*cos(THETA7-THETA4))+V7*(--19.54900595)+V8*(0.00000000*sin(THETA7-THETA8)-5.67697985*cos(THETA7-THETA8))+V9*(0.00000000*sin(THETA7-THETA9)-9.09008272*cos(THETA7-THETA9))):[0/0]
QG5-0.00000000-V8*(V7*(0.00000000*sin(THETA8-THETA7)-5.67697985*cos(THETA8-THETA7))+V8*(--5.67697985)):[0/0]
-0.16600000-V9*(V4*(0.00000000*sin(THETA9-THETA4)-1.85549956*cos(THETA9-THETA4))+V7*(0.00000000*sin(THETA9-THETA7)-9.09008272*cos(THETA9-THETA7))+V9*(--24.09250638)+V10*(-3.90204955*sin(THETA9-THETA10)-10.36539413*cos(THETA9-THETA10))+V14*(-1.42400549*sin(THETA9-THETA14)-3.02905046*cos(THETA9-THETA14))):[0/0]
-0.05800000-V10*(V9*(-3.90204955*sin(THETA10-THETA9)-10.36539413*cos(THETA10-THETA9))+V10*(--14.76833788)+V11*(-1.88088475*sin(THETA10-THETA11)-4.40294375*cos(THETA10-THETA11))):[0/0]
-0.01800000-V11*(V6*(-1.95502856*sin(THETA11-THETA6)-4.09407434*cos(THETA11-THETA6))+V10*(-1.88088475*sin(THETA11-THETA10)-4.40294375*cos(THETA11-THETA10))+V11*(--8.49701809)):[0/0]
-0.01600000-V12*(V6*(-1.52596744*sin(THETA12-THETA6)-3.17596397*cos(THETA12-THETA6))+V12*(--5.42793859)+V13*(-2.48902459*sin(THETA12-THETA13)-2.25197463*cos(THETA12-THETA13))):[0/0]
-0.05800000-V13*(V6*(-3.09892740*sin(THETA13-THETA6)-6.10275545*cos(THETA13-THETA6))+V12*(-2.48902459*sin(THETA13-THETA12)-2.25197463*cos(THETA13-THETA12))+V13*(--10.66969355)+V14*(-1.13699416*sin(THETA13-THETA14)-2.31496348*cos(THETA13-THETA14))):[0/0]
-0.05000000-V14*(V9*(-1.42400549*sin(THETA14-THETA9)-3.02905046*cos(THETA14-THETA9))+V13*(-1.13699416*sin(THETA14-THETA13)-2.31496348*cos(THETA14-THETA13))+V14*(--5.34401393)):[0/0]
PG1:[0.00000000/3.32400000/1.94330186],PG2:[0.00000000/1.40000000/0.36719165],PG3:[0.00000000/1.00000000/0.28742653],PG4:[0.00000000/1.00000000/0.00000251],PG5:[0.00000000/1.00000000/0.08494952],QG1:[0.00000000/0.10000000/0.00000684],QG2:[-0.40000000/0.50000000/0.23685082],QG3:[0.00000000/0.40000000/0.24126869],QG4:[-0.06000000/0.24000000/0.11545545],QG5:[-0.06000000/0.24000000/0.08272995],V1:[0.94000000/1.06000000/1.05999989],V2:[0.94000000/1.06000000/1.04075285],V3:[0.94000000/1.06000000/1.01562487],V4:[0.94000000/1.06000000/1.01446051],V5:[0.94000000/1.06000000/1.01636226],V6:[0.94000000/1.06000000/1.05999886],V7:[0.94000000/1.06000000/1.04634633],V8:[0.94000000/1.06000000/1.05999911],V9:[0.94000000/1.06000000/1.04369846],V10:[0.94000000/1.06000000/1.03913599],V11:[0.94000000/1.06000000/1.04600866],V12:[0.94000000/1.06000000/1.04481935],V13:[0.94000000/1.06000000/1.03994784],V14:[0.94000000/1.06000000/1.02388785],THETA1:[0.00000000/0.00000000/0.00000000],THETA2:[-3.14159000/3.14159000/-0.07020266],THETA3:[-3.14159000/3.14159000/-0.17324002],THETA4:[-3.14159000/3.14159000/-0.15123079],THETA5:[-3.14159000/3.14159000/-0.12965066],THETA6:[-3.14159000/3.14159000/-0.22146892],THETA7:[-3.14159000/3.14159000/-0.19526557],THETA8:[-3.14159000/3.14159000/-0.18177359],THETA9:[-3.14159000/3.14159000/-0.22684336],THETA10:[-3.14159000/3.14159000/-0.23095782],THETA11:[-3.14159000/3.14159000/-0.22848042],THETA12:[-3.14159000/3.14159000/-0.23619062],THETA13:[-3.14159000/3.14159000/-0.23706068],THETA14:[-3.14159000/3.14159000/-0.24913026]
\ No newline at end of file
nlp/examples/opf_polar/case14_opf_polar.solution 0 → 100755
Objective value: 8081.524863211893
Variable values:
PG1: 1.9433026223275753
PG2: 0.36719177861648294
PG3: 0.28742775690249933
PG4: -0.000000009984464006660016
PG5: 0.08494992101299519
QG1: -0.000000009955585690888025
QG2: 0.23685279252120695
QG3: 0.24126906455594935
QG4: 0.11545898935443046
QG5: 0.08273038990597786
V1: 1.060000010599306
V2: 1.0407532441084917
V3: 1.0156254539752665
V4: 1.014461083554767
V5: 1.0163627955346575
V6: 1.0600000105928618
V7: 1.04634717130161
V8: 1.0600000105943352
V9: 1.043699395586948
V10: 1.0391369754834276
V11: 1.0460097333338314
V12: 1.0448205040803291
V13: 1.0399489898488996
V14: 1.0238889019345303
THETA1: 0
THETA2: -0.0702027176507648
THETA3: -0.1732399317802675
THETA4: -0.15123088256834483
THETA5: -0.1296507940705702
THETA6: -0.22146931352517585
THETA7: -0.19526562691235677
THETA8: -0.18177360217849764
THETA9: -0.22684341284389342
THETA10: -0.23095792402880533
THETA11: -0.22848066069717496
THETA12: -0.23619095639565046
THETA13: -0.23706098994162655
THETA14: -0.2491303921041823
nlp/examples/opf_polar/case2737sop_opf_polar.model 0 → 100755
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nlp/examples/opf_polar/case2737sop_opf_polar.solution 0 → 100755
This source diff could not be displayed because it is too large. You can view the blob instead.
nlp/examples/opf_polar/case300_opf_polar.model 0 → 100755
This source diff could not be displayed because it is too large. You can view the blob instead.
nlp/examples/opf_polar/case30_opf_polar.solution 0 → 100755
Objective value: 574.5168351061757
Variable values:
PG1: 0.4379181987032237
PG2: 0.5796429749239124
PG3: 0.23073891878937275
PG4: 0.3263296811956212
PG5: 0.16810627669802292
PG6: 0.1734576202159641
QG1: -0.010963516525375087
QG2: 0.22888715630526785
QG3: 0.2894227055194664
QG4: 0.14374659429669598
QG5: 0.07050588273243048
QG6: 0.2673165121231683
V1: 1.0500000104762623
V2: 1.0469573776724015
V3: 1.0338489263750754
V4: 1.0310033980549977
V5: 1.0321282860793302
V6: 1.0245157064359474
V7: 1.0185389936978686
V8: 1.012941653254554
V9: 1.0312848871836147
V10: 1.0349395393767336
V11: 1.0312848871836147
V12: 1.0500000104953224
V13: 1.084276589310438
V14: 1.0391204134230072
V15: 1.0410294159139941
V16: 1.036701469646519
V17: 1.0303889146759517
V18: 1.0266410274202389
V19: 1.0215485043798271
V20: 1.0240257803619437
V21: 1.0406838662461624
V22: 1.046206307243475
V23: 1.0540908830588862
V24: 1.040702722788632
V25: 1.0500000104928036
V26: 1.0330440283655673
V27: 1.0639819175758485
V28: 1.0278108000351953
V29: 1.0449327596869658
V30: 1.0339907323418718
THETA1: 0
THETA2: -0.01261992737478855
THETA3: -0.035669415888555475
THETA4: -0.04244136328700221
THETA5: -0.03883307626326938
THETA6: -0.04877058917789466
THETA7: -0.053439061740885696
THETA8: -0.055901282510445155
THETA9: -0.0651184495593664
THETA10: -0.07359509090497185
THETA11: -0.0651184495593664
THETA12: -0.06934688779824631
THETA13: -0.048015212098880815
THETA14: -0.07862567197828611
THETA15: -0.07515079654741144
THETA16: -0.07603597691057812
THETA17: -0.07785865802217148
THETA18: -0.08681670457480062
THETA19: -0.09053657445265119
THETA20: -0.08721023598897869
THETA21: -0.07346247989982667
THETA22: -0.07133274132919219
THETA23: -0.05839943589097019
THETA24: -0.06273297308627393
THETA25: -0.03790312558487085
THETA26: -0.04486365585063378
THETA27: -0.01824087029172949
THETA28: -0.04828173405026866
THETA29: -0.03823384306772252
THETA30: -0.052218946830118226
nlp/examples/opf_polar/case39_opf_polar.solution 0 → 100755
Objective value: 41864.177712614524
Variable values:
PG1: 6.715933533266847
PG2: 6.460000064597665
PG3: 6.711538595994945
PG4: 6.520000065182512
PG5: 5.080000050799529
PG6: 6.614543604510545
PG7: 5.800000057999096
PG8: 5.640000056399209
PG9: 6.5403383772384895
PG10: 6.8959094914094035
QG1: 1.3999999860248253
QG2: 3.0000000299409155
QG3: 3.0000000297297063
QG4: 1.1507995782290479
QG5: 1.3959169245107916
QG6: 2.2290613345562336
QG7: 0.6062982961948918
QG8: 0.0863716908827201
QG9: -0.32766086658561844
QG10: 0.8208966086358357
V1: 1.0412463945080808
V2: 1.054425994834015
V3: 1.0455451900720714
V4: 1.0353823772549582
V5: 1.0439517235505835
V6: 1.0479931913117952
V7: 1.035736646666691
V8: 1.033835034506785
V9: 1.0565958909268311
V10: 1.059840138213194
V11: 1.054575576867182
V12: 1.0421048022645767
V13: 1.0542937378390922
V14: 1.0448523241087424
V15: 1.0358865358513694
V16: 1.0463936403011977
V17: 1.047420866728084
V18: 1.0454685075642403
V19: 1.0600000105990612
V20: 0.9968141720367603
V21: 1.0440743795309788
V22: 1.0596318164365857
V23: 1.0522439989313461
V24: 1.0508118678680898
V25: 1.060000010599583
V26: 1.0600000105997076
V27: 1.0487008408405571
V28: 1.055369687489924
V29: 1.0531711702977964
V30: 1.046344961412761
V31: 1.0384749294987832
V32: 1.0397613299518937
V33: 1.0072102902534052
V34: 1.0132162415049488
V35: 1.0600000105978482
V36: 1.060000010598431
V37: 1.031566965909859
V38: 1.0227224806914523
V39: 1.0380682459946562
THETA1: -0.23344727503107193
THETA2: -0.0948296850378047
THETA3: -0.1566704201772613
THETA4: -0.1813791943618577
THETA5: -0.16916171470003485
THETA6: -0.15716715717857577
THETA7: -0.19933113821161233
THETA8: -0.21083899401868572
THETA9: -0.2631631152020523
THETA10: -0.11465387907301276
THETA11: -0.12906965350750693
THETA12: -0.12824783201595058
THETA13: -0.1253174792027444
THETA14: -0.15019118936893014
THETA15: -0.15188897554938102
THETA16: -0.1258546654855347
THETA17: -0.1452414365057212
THETA18: -0.15687583731116211
THETA19: -0.04315687435483414
THETA20: -0.06722313557598192
THETA21: -0.08253256126651869
THETA22: -0.004065893535564185
THETA23: -0.006733425600468531
THETA24: -0.12307781588817877
THETA25: -0.07927676866102554
THETA26: -0.13206096944222406
THETA27: -0.1579515150846744
THETA28: -0.1081732108914661
THETA29: -0.07214273189613302
THETA30: 0.018343966393653707
THETA31: 0
THETA32: 0.016053212758781552
THETA33: 0.048954387614925716
THETA34: 0.022994626468252764
THETA35: 0.08235916992510342
THETA36: 0.13490868256482458
THETA37: 0.04363961097277546
THETA38: 0.025355003076542856
THETA39: -0.29572228361337954
nlp/examples/opf_polar/case57_opf_polar.solution 0 → 100755
Objective value: 41737.78705471332
Variable values:
PG1: 1.426262949933819
PG2: 0.8779099063787555
PG3: 0.4507094789914592
PG4: 0.7286263549135764
PG5: 4.598048197421617
PG6: 0.9763449224423756
PG7: 3.6152203003581502
QG1: 0.44585216257968036
QG2: 0.5000000037228604
QG3: 0.287536285627196
QG4: 0.07763279261017506
QG5: 0.8719886578292829
QG6: 0.09000000611595135
QG7: 0.43257239370274597
V1: 1.0092917707222508
V2: 1.0075543208019468
V3: 1.003263184178977
V4: 1.0064666746496713
V5: 1.015800453791345
V6: 1.0256673511339507
V7: 1.024392440397841
V8: 1.043827366531281
V9: 1.0040759839558353
V10: 0.9842300284434164
V11: 0.9838536609796563
V12: 0.9918489288664829
V13: 0.9776436515904895
V14: 0.9703077853190614
V15: 0.988135996981153
V16: 0.9909394008320195
V17: 0.9927516649661956
V18: 1.0262904499669232
V19: 0.9883738315167591
V20: 0.9770780146673295
V21: 1.0151436222835555
V22: 1.0150840938488066
V23: 1.0143847712069873
V24: 1.017205014229194
V25: 1.000735646816085
V26: 0.9761724824957728
V27: 1.0127591113332837
V28: 1.0332435229312154
V29: 1.0503513948427392
V30: 0.9800022546686894
V31: 0.950822469300979
V32: 0.9601059334782907
V33: 0.9578364320386967
V34: 0.966749539328581
V35: 0.973143263912887
V36: 0.9822494438576964
V37: 0.9906384210645633
V38: 1.0164304930931705
V39: 0.9887699951863621
V40: 0.9795621271262541
V41: 1.0066795267539619
V42: 0.9749958650488953
V43: 1.0198622873212326
V44: 1.0191183245854132
V45: 1.0347639865382012
V46: 1.0600000105250076
V47: 1.0344651438576329
V48: 1.0293889956446383
V49: 1.0377327336878943
V50: 1.024117843864265
V51: 1.0520461659639042
V52: 1.0193373685979734
V53: 1.0090156563516735
V54: 1.02935143752919
V55: 1.0586641481901882
V56: 0.9746386560262477
V57: 0.9699326377443609
THETA1: 0
THETA2: 0.014321419825442563
THETA3: -0.020405984999773075
THETA4: -0.01859643603638768
THETA5: -0.0006130377169665087
THETA6: 0.015367303095270233
THETA7: 0.029089660667819543
THETA8: 0.08245767626533802
THETA9: -0.0015485092613107963
THETA10: -0.06244917071990376
THETA11: -0.03913582229249972
THETA12: -0.060869824064236036
THETA13: -0.055079135347959426
THETA14: -0.061379316449135336
THETA15: -0.0444132803241998
THETA16: -0.06891861667999523
THETA17: -0.050456657467287336
THETA18: -0.09245364546404902
THETA19: -0.11631215103044418
THETA20: -0.11931349842302451
THETA21: -0.11385499509923845
THETA22: -0.11275860908593811
THETA23: -0.11288394461888994
THETA24: -0.10206367496493692
THETA25: -0.1880030000493157
THETA26: -0.09307671196219798
THETA27: -0.049840018493242204
THETA28: -0.026312369946282683
THETA29: -0.010893756083987108
THETA30: -0.19824937983163832
THETA31: -0.21218522071297882
THETA32: -0.2015835728593044
THETA33: -0.20226124085068437
THETA34: -0.1330498140812212
THETA35: -0.12923278621974468
THETA36: -0.1247793120828325
THETA37: -0.12209817604052711
THETA38: -0.11223643299385015
THETA39: -0.12254323550646645
THETA40: -0.12463499879627482
THETA41: -0.1119226272967688
THETA42: -0.1402583561461968
THETA43: -0.06069762093463622
THETA44: -0.10315514790678075
THETA45: -0.07093346275123645
THETA46: -0.08883415592620471
THETA47: -0.10990866962867622
THETA48: -0.11045144875472214
THETA49: -0.11062072341802134
THETA50: -0.11168941653326502
THETA51: -0.08406076919552241
THETA52: -0.03772331919852508
THETA53: -0.04935049399473109
THETA54: -0.038252277125268165
THETA55: -0.021345164671598346
THETA56: -0.15294240822494165
THETA57: -0.16440088410974713
nlp/examples/opf_polar/case5_opf_polar.model 0 → 100755
+1400.00000000*PG1+1500.00000000*PG2+3000.00000000*PG3+4000.00000000*PG4+1000.00000000*PG5
PG1+PG2-0.00000000-V1*(V1*(22.25068569)+V2*(-3.52348402*cos(THETA1-THETA2)+35.23484021*sin(THETA1-THETA2))+V4*(-3.25690464*cos(THETA1-THETA4)+32.56904638*sin(THETA1-THETA4))+V5*(-15.47029703*cos(THETA1-THETA5)+154.70297030*sin(THETA1-THETA5))):[0/0]
-3.00000000-V2*(V1*(-3.52348402*cos(THETA2-THETA1)+35.23484021*sin(THETA2-THETA1))+V2*(12.69106745)+V3*(-9.16758343*cos(THETA2-THETA3)+91.67583425*sin(THETA2-THETA3))):[0/0]
PG3-3.00000000-V3*(V2*(-9.16758343*cos(THETA3-THETA2)+91.67583425*sin(THETA3-THETA2))+V3*(12.50125013)+V4*(-3.33366670*cos(THETA3-THETA4)+33.33666700*sin(THETA3-THETA4))):[0/0]
PG4-4.00000000-V4*(V1*(-3.25690464*cos(THETA4-THETA1)+32.56904638*sin(THETA4-THETA1))+V3*(-3.33366670*cos(THETA4-THETA3)+33.33666700*sin(THETA4-THETA3))+V4*(9.92423804)+V5*(-3.33366670*cos(THETA4-THETA5)+33.33666700*sin(THETA4-THETA5))):[0/0]
PG5-0.00000000-V5*(V1*(-15.47029703*cos(THETA5-THETA1)+154.70297030*sin(THETA5-THETA1))+V4*(-3.33366670*cos(THETA5-THETA4)+33.33666700*sin(THETA5-THETA4))+V5*(18.80396373)):[0/0]
QG1+QG2-0.00000000-V1*(V1*(--222.48437689)+V2*(-3.52348402*sin(THETA1-THETA2)-35.23484021*cos(THETA1-THETA2))+V4*(-3.25690464*sin(THETA1-THETA4)-32.56904638*cos(THETA1-THETA4))+V5*(-15.47029703*sin(THETA1-THETA5)-154.70297030*cos(THETA1-THETA5))):[0/0]
-0.98610000-V2*(V1*(-3.52348402*sin(THETA2-THETA1)-35.23484021*cos(THETA2-THETA1))+V2*(--126.89785446)+V3*(-9.16758343*sin(THETA2-THETA3)-91.67583425*cos(THETA2-THETA3))):[0/0]
QG3-0.98610000-V3*(V2*(-9.16758343*sin(THETA3-THETA2)-91.67583425*cos(THETA3-THETA2))+V3*(--124.99987125)+V4*(-3.33366670*sin(THETA3-THETA4)-33.33666700*cos(THETA3-THETA4))):[0/0]
QG4-1.31470000-V4*(V1*(-3.25690464*sin(THETA4-THETA1)-32.56904638*cos(THETA4-THETA1))+V3*(-3.33366670*sin(THETA4-THETA3)-33.33666700*cos(THETA4-THETA3))+V4*(--99.23235038)+V5*(-3.33366670*sin(THETA4-THETA5)-33.33666700*cos(THETA4-THETA5))):[0/0]
QG5-0.00000000-V5*(V1*(-15.47029703*sin(THETA5-THETA1)-154.70297030*cos(THETA5-THETA1))+V4*(-3.33366670*sin(THETA5-THETA4)-33.33666700*cos(THETA5-THETA4))+V5*(--188.02063730)):[0/0]
V1*V2*(-3.52348402*cos(THETA1-THETA2)+35.23484021*sin(THETA1-THETA2))--3.52348402*V1^2:[/4.00000000]
V4*V5*(-3.33366670*cos(THETA4-THETA5)+33.33666700*sin(THETA4-THETA5))--3.33366670*V4^2:[/2.40000000]
V2*V1*(-3.52348402*cos(THETA2-THETA1)+35.23484021*sin(THETA2-THETA1))--3.52348402*V2^2:[/4.00000000]
V5*V4*(-3.33366670*cos(THETA5-THETA4)+33.33666700*sin(THETA5-THETA4))--3.33366670*V5^2:[/2.40000000]
V1:[0.90000000/1.10000000],V2:[0.90000000/1.10000000],V3:[0.90000000/1.10000000],V4:[0.90000000/1.10000000],V5:[0.90000000/1.10000000],THETA1:[-3.14159000/3.14159000],THETA2:[-3.14159000/3.14159000],THETA3:[-3.14159000/3.14159000],THETA4:[0.00000000/0.00000000],THETA5:[-3.14159000/3.14159000],PG1:[0.00000000/0.40000000],PG2:[0.00000000/1.70000000],PG3:[0.00000000/5.20000000],PG4:[0.00000000/2.00000000],PG5:[0.00000000/6.00000000],QG1:[-0.30000000/0.30000000],QG2:[-1.27500000/1.27500000],QG3:[-3.90000000/3.90000000],QG4:[-1.50000000/1.50000000],QG5:[-4.50000000/4.50000000]
\ No newline at end of file
nlp/examples/opf_polar/case5_opf_polar.solution 0 → 100755
Objective value: 17545.72542482958
Variable values:
V1: 1.084028076575362
V2: 1.08586954933736
V3: 1.1000000109973362
V4: 1.059188481432394
V5: 1.0789529707090493
THETA1: 0.047747284171239315
THETA2: -0.013301480936154533
THETA3: -0.010162641838136083
THETA4: 0
THETA5: 0.06098195216205381
PG1: 0.4000000099986138
PG2: 1.7000000169978795
PG3: 3.241400961606251
PG4: -0.000000009965249944440519
PG5: 4.711522540376949
QG1: 0.30000000998855963
QG2: 1.275000012738577
QG3: 3.900000038963795
QG4: -1.205728139742629
QG5: -0.543322993476943
nlp/examples/opf_polar/case9_opf_polar.model 0 → 100755
1100.00000000*PG1^2+500.00000000*PG1+150.00000000+850.00000000*PG2^2+120.00000000*PG2+600.00000000+1225.00000000*PG3^2+100.00000000*PG3+335.00000000
PG1-0.00000000-V1*(V1*(0.00000000)+V4*(0.00000000*cos(THETA1-THETA4)+17.36111111*sin(THETA1-THETA4))):[0/0]
PG2-0.00000000-V2*(V2*(0.00000000)+V8*(0.00000000*cos(THETA2-THETA8)+16.00000000*sin(THETA2-THETA8))):[0/0]
PG3-0.00000000-V3*(V3*(0.00000000)+V6*(0.00000000*cos(THETA3-THETA6)+17.06484642*sin(THETA3-THETA6))):[0/0]
-0.00000000-V4*(V1*(0.00000000*cos(THETA4-THETA1)+17.36111111*sin(THETA4-THETA1))+V4*(3.30737896)+V5*(-1.94219125*cos(THETA4-THETA5)+10.51068205*sin(THETA4-THETA5))+V9*(-1.36518771*cos(THETA4-THETA9)+11.60409556*sin(THETA4-THETA9))):[0/0]
-0.90000000-V5*(V4*(-1.94219125*cos(THETA5-THETA4)+10.51068205*sin(THETA5-THETA4))+V5*(3.22420039)+V6*(-1.28200914*cos(THETA5-THETA6)+5.58824496*sin(THETA5-THETA6))):[0/0]
-0.00000000-V6*(V3*(0.00000000*cos(THETA6-THETA3)+17.06484642*sin(THETA6-THETA3))+V5*(-1.28200914*cos(THETA6-THETA5)+5.58824496*sin(THETA6-THETA5))+V6*(2.43709662)+V7*(-1.15508748*cos(THETA6-THETA7)+9.78427043*sin(THETA6-THETA7))):[0/0]
-1.00000000-V7*(V6*(-1.15508748*cos(THETA7-THETA6)+9.78427043*sin(THETA7-THETA6))+V7*(2.77220995)+V8*(-1.61712247*cos(THETA7-THETA8)+13.69797860*sin(THETA7-THETA8))):[0/0]
-0.00000000-V8*(V2*(0.00000000*cos(THETA8-THETA2)+16.00000000*sin(THETA8-THETA2))+V7*(-1.61712247*cos(THETA8-THETA7)+13.69797860*sin(THETA8-THETA7))+V8*(2.80472685)+V9*(-1.18760438*cos(THETA8-THETA9)+5.97513453*sin(THETA8-THETA9))):[0/0]
-1.25000000-V9*(V4*(-1.36518771*cos(THETA9-THETA4)+11.60409556*sin(THETA9-THETA4))+V8*(-1.18760438*cos(THETA9-THETA8)+5.97513453*sin(THETA9-THETA8))+V9*(2.55279209)):[0/0]
QG1-0.00000000-V1*(V1*(--17.36111111)+V4*(0.00000000*sin(THETA1-THETA4)-17.36111111*cos(THETA1-THETA4))):[0/0]
QG2-0.00000000-V2*(V2*(--16.00000000)+V8*(0.00000000*sin(THETA2-THETA8)-16.00000000*cos(THETA2-THETA8))):[0/0]
QG3-0.00000000-V3*(V3*(--17.06484642)+V6*(0.00000000*sin(THETA3-THETA6)-17.06484642*cos(THETA3-THETA6))):[0/0]
-0.00000000-V4*(V1*(0.00000000*sin(THETA4-THETA1)-17.36111111*cos(THETA4-THETA1))+V4*(--39.30888873)+V5*(-1.94219125*sin(THETA4-THETA5)-10.51068205*cos(THETA4-THETA5))+V9*(-1.36518771*sin(THETA4-THETA9)-11.60409556*cos(THETA4-THETA9))):[0/0]
-0.30000000-V5*(V4*(-1.94219125*sin(THETA5-THETA4)-10.51068205*cos(THETA5-THETA4))+V5*(--15.84092701)+V6*(-1.28200914*sin(THETA5-THETA6)-5.58824496*cos(THETA5-THETA6))):[0/0]
-0.00000000-V6*(V3*(0.00000000*sin(THETA6-THETA3)-17.06484642*cos(THETA6-THETA3))+V5*(-1.28200914*sin(THETA6-THETA5)-5.58824496*cos(THETA6-THETA5))+V6*(--32.15386181)+V7*(-1.15508748*sin(THETA6-THETA7)-9.78427043*cos(THETA6-THETA7))):[0/0]
-0.35000000-V7*(V6*(-1.15508748*sin(THETA7-THETA6)-9.78427043*cos(THETA7-THETA6))+V7*(--23.30324902)+V8*(-1.61712247*sin(THETA7-THETA8)-13.69797860*cos(THETA7-THETA8))):[0/0]
-0.00000000-V8*(V2*(0.00000000*sin(THETA8-THETA2)-16.00000000*cos(THETA8-THETA2))+V7*(-1.61712247*sin(THETA8-THETA7)-13.69797860*cos(THETA8-THETA7))+V8*(--35.44561313)+V9*(-1.18760438*sin(THETA8-THETA9)-5.97513453*cos(THETA8-THETA9))):[0/0]
-0.50000000-V9*(V4*(-1.36518771*sin(THETA9-THETA4)-11.60409556*cos(THETA9-THETA4))+V8*(-1.18760438*sin(THETA9-THETA8)-5.97513453*cos(THETA9-THETA8))+V9*(--17.33823010)):[0/0]
V1*V4*(0.00000000*cos(THETA1-THETA4)+17.36111111*sin(THETA1-THETA4))-0.00000000*V1^2:[/2.50000000]
V4*V5*(-1.94219125*cos(THETA4-THETA5)+10.51068205*sin(THETA4-THETA5))--1.94219125*V4^2:[/2.50000000]
V5*V6*(-1.28200914*cos(THETA5-THETA6)+5.58824496*sin(THETA5-THETA6))--1.28200914*V5^2:[/1.50000000]
V3*V6*(0.00000000*cos(THETA3-THETA6)+17.06484642*sin(THETA3-THETA6))-0.00000000*V3^2:[/3.00000000]
V6*V7*(-1.15508748*cos(THETA6-THETA7)+9.78427043*sin(THETA6-THETA7))--1.15508748*V6^2:[/1.50000000]
V7*V8*(-1.61712247*cos(THETA7-THETA8)+13.69797860*sin(THETA7-THETA8))--1.61712247*V7^2:[/2.50000000]
V8*V2*(0.00000000*cos(THETA8-THETA2)+16.00000000*sin(THETA8-THETA2))-0.00000000*V8^2:[/2.50000000]
V8*V9*(-1.18760438*cos(THETA8-THETA9)+5.97513453*sin(THETA8-THETA9))--1.18760438*V8^2:[/2.50000000]
V9*V4*(-1.36518771*cos(THETA9-THETA4)+11.60409556*sin(THETA9-THETA4))--1.36518771*V9^2:[/2.50000000]
V4*V1*(0.00000000*cos(THETA4-THETA1)+17.36111111*sin(THETA4-THETA1))-0.00000000*V4^2:[/2.50000000]
V5*V4*(-1.94219125*cos(THETA5-THETA4)+10.51068205*sin(THETA5-THETA4))--1.94219125*V5^2:[/2.50000000]
V6*V5*(-1.28200914*cos(THETA6-THETA5)+5.58824496*sin(THETA6-THETA5))--1.28200914*V6^2:[/1.50000000]
V6*V3*(0.00000000*cos(THETA6-THETA3)+17.06484642*sin(THETA6-THETA3))-0.00000000*V6^2:[/3.00000000]
V7*V6*(-1.15508748*cos(THETA7-THETA6)+9.78427043*sin(THETA7-THETA6))--1.15508748*V7^2:[/1.50000000]
V8*V7*(-1.61712247*cos(THETA8-THETA7)+13.69797860*sin(THETA8-THETA7))--1.61712247*V8^2:[/2.50000000]
V2*V8*(0.00000000*cos(THETA2-THETA8)+16.00000000*sin(THETA2-THETA8))-0.00000000*V2^2:[/2.50000000]
V9*V8*(-1.18760438*cos(THETA9-THETA8)+5.97513453*sin(THETA9-THETA8))--1.18760438*V9^2:[/2.50000000]
V4*V9*(-1.36518771*cos(THETA4-THETA9)+11.60409556*sin(THETA4-THETA9))--1.36518771*V4^2:[/2.50000000]
PG1:[0.10000000/2.50000000/0.89798225],PG2:[0.10000000/3.00000000/1.34320864],PG3:[0.10000000/2.70000000/0.94187669],QG1:[-3.00000000/3.00000000/0.12836024],QG2:[-3.00000000/3.00000000/0.00108303],QG3:[-3.00000000/3.00000000/-0.22564772],V1:[0.90000000/1.10000000/1.09976434],V2:[0.90000000/1.10000000/1.09739531],V3:[0.90000000/1.10000000/1.08665486],V4:[0.90000000/1.10000000/1.09405270],V5:[0.90000000/1.10000000/1.08433327],V6:[0.90000000/1.10000000/1.09999665],V7:[0.90000000/1.10000000/1.08948622],V8:[0.90000000/1.10000000/1.09999694],V9:[0.90000000/1.10000000/1.07163842],THETA1:[0.00000000/0.00000000/0.00000000],THETA2:[-3.14159000/3.14159000/0.08536518],THETA3:[-3.14159000/3.14159000/0.05667011],THETA4:[-3.14159000/3.14159000/-0.04300171],THETA5:[-3.14159000/3.14159000/-0.06952958],THETA6:[-3.14159000/3.14159000/0.01047850],THETA7:[-3.14159000/3.14159000/-0.02092232],THETA8:[-3.14159000/3.14159000/0.01576352],THETA9:[-3.14159000/3.14159000/-0.08058305]
\ No newline at end of file
nlp/examples/opf_polar/case9_opf_polar.solution 0 → 100755
Objective value: 5296.68620431761
Variable values:
PG1: 0.8979870685071148
PG2: 1.343206011886868
PG3: 0.9418738089581109
QG1: 0.12965399204805406
QG2: 0.00031987619558690526
QG3: -0.22634076126698913
V1: 1.0999995652827035
V2: 1.0973547169976436
V3: 1.086620385149638
V4: 1.0942212087556769
V5: 1.0844482912265712
V6: 1.100000010285162
V7: 1.089489495122227
V8: 1.1000000103078604
V9: 1.0717552399856662
THETA1: 0
THETA2: 0.08541011066833508
THETA3: 0.05671511315111993
THETA4: -0.042986162961923716
THETA5: -0.06949876021774358
THETA6: 0.010522316375805413
THETA7: -0.020878969306600433
THETA8: 0.015806198824993956
THETA9: -0.08055116863692784
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