From d8993f6f9249bbb26906c11d77d04a0d4d88cb8e Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Tue, 25 Jan 2022 13:06:45 -0800 Subject: [PATCH] Initial commit --- .gitignore | 156 +++++ cbc.py | 200 ++++++ data/PV.mat | Bin 0 -> 49617 bytes data/SCE_56bus.mat | Bin 0 -> 1892 bytes data/aggr_p.mat | Bin 0 -> 99717 bytes data/aggr_q.mat | Bin 0 -> 99365 bytes data/pq_fluc.mat | Bin 0 -> 9083953 bytes network_utils.py | 467 ++++++++++++++ robust_voltage_control.py | 256 ++++++++ voltage_control.ipynb | 1206 +++++++++++++++++++++++++++++++++++++ 10 files changed, 2285 insertions(+) create mode 100644 .gitignore create mode 100644 cbc.py create mode 100644 data/PV.mat create mode 100644 data/SCE_56bus.mat create mode 100644 data/aggr_p.mat create mode 100644 data/aggr_q.mat create mode 100644 data/pq_fluc.mat create mode 100644 network_utils.py create mode 100644 robust_voltage_control.py create mode 100644 voltage_control.ipynb diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..ba08eb1 --- /dev/null +++ b/.gitignore @@ -0,0 +1,156 @@ +### CUSTOM +.vscode/ +### END CUSTOM + +# Byte-compiled / optimized / DLL files +__pycache__/ +*.py[cod] +*$py.class + +# C extensions +*.so + +# Distribution / packaging +.Python +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +share/python-wheels/ +*.egg-info/ +.installed.cfg +*.egg +MANIFEST + +# PyInstaller +# Usually these files are written by a python script from a template +# before PyInstaller builds the exe, so as to inject date/other infos into it. +*.manifest +*.spec + +# Installer logs +pip-log.txt +pip-delete-this-directory.txt + +# Unit test / coverage reports +htmlcov/ +.tox/ +.nox/ +.coverage +.coverage.* +.cache +nosetests.xml +coverage.xml +*.cover +*.py,cover +.hypothesis/ +.pytest_cache/ +cover/ + +# Translations +*.mo +*.pot + +# Django stuff: +*.log +local_settings.py +db.sqlite3 +db.sqlite3-journal + +# Flask stuff: +instance/ +.webassets-cache + +# Scrapy stuff: +.scrapy + +# Sphinx documentation +docs/_build/ + +# PyBuilder +.pybuilder/ +target/ + +# Jupyter Notebook +.ipynb_checkpoints + +# IPython +profile_default/ +ipython_config.py + +# pyenv +# For a library or package, you might want to ignore these files since the code is +# intended to run in multiple environments; otherwise, check them in: +# .python-version + +# pipenv +# According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control. +# However, in case of collaboration, if having platform-specific dependencies or dependencies +# having no cross-platform support, pipenv may install dependencies that don't work, or not +# install all needed dependencies. +#Pipfile.lock + +# poetry +# Similar to Pipfile.lock, it is generally recommended to include poetry.lock in version control. +# This is especially recommended for binary packages to ensure reproducibility, and is more +# commonly ignored for libraries. +# https://python-poetry.org/docs/basic-usage/#commit-your-poetrylock-file-to-version-control +#poetry.lock + +# PEP 582; used by e.g. github.com/David-OConnor/pyflow +__pypackages__/ + +# Celery stuff +celerybeat-schedule +celerybeat.pid + +# SageMath parsed files +*.sage.py + +# Environments +.env +.venv +env/ +venv/ +ENV/ +env.bak/ +venv.bak/ + +# Spyder project settings +.spyderproject +.spyproject + +# Rope project settings +.ropeproject + +# mkdocs documentation +/site + +# mypy +.mypy_cache/ +.dmypy.json +dmypy.json + +# Pyre type checker +.pyre/ + +# pytype static type analyzer +.pytype/ + +# Cython debug symbols +cython_debug/ + +# PyCharm +# JetBrains specific template is maintainted in a separate JetBrains.gitignore that can +# be found at https://github.com/github/gitignore/blob/main/Global/JetBrains.gitignore +# and can be added to the global gitignore or merged into this file. For a more nuclear +# option (not recommended) you can uncomment the following to ignore the entire idea folder. +#.idea/ diff --git a/cbc.py b/cbc.py new file mode 100644 index 0000000..e583d56 --- /dev/null +++ b/cbc.py @@ -0,0 +1,200 @@ +"""Convex body chasing code.""" +from __future__ import annotations + +import cvxpy as cp +import numpy as np +from tqdm.auto import tqdm + +rng = np.random.default_rng() + + +def cp_triangle_norm_sq(x: cp.Expression) -> cp.Expression: + return cp.norm(cp.upper_tri(x), 2)**2 + cp.norm(cp.diag(x), 2)**2 + + +class CBCProjection: + """Finds the set of X that is consistent with the observed data. + """ + def __init__(self, eta: float, n: int, T: int, n_samples: int, + alpha: float, v: np.ndarray, X_init: np.ndarray | None = None, + X_true: np.ndarray | None = None): + """ + Args + - eta: float, noise bound + - n: int, # of buses + - T: int, maximum # of time steps + - n_samples: int, # of observations to use for defining the convex set + - alpha: float, weight on slack variable + - v: np.array, shape [n], initial squared voltage magnitudes + - X_init: np.array, initial guess for X matrix, must be PSD and + entry-wise >= 0 + - if None, we use X_init = np.eye(n) + - X_true: np.array, true X matrix, optional + """ + self.eta = eta + self.n = n + self.n_samples = n_samples + self.alpha = alpha + self.X_true = X_true + + # history + self.delta_vs = np.zeros([n, T+1]) + self.v_prev = v + self.us = np.zeros([n, T]) + self.t = 0 + + if X_init is None: + X_init = np.eye(n) # models a 1-layer tree graph + self.X_cache = X_init + self.is_cached = True + self.lazy_buffer = [] + self.prob = None + + # define optimization variables + self.var_X = cp.Variable([n, n], PSD=True) + self.var_slack = cp.Variable(nonneg=True) + + def add_obs(self, v: np.ndarray, u: np.ndarray) -> None: + assert v.shape == (self.n,) + assert u.shape == (self.n,) + self.us[:, self.t] = u + self.delta_vs[:, self.t] = v - self.v_prev + self.t += 1 + self.v_prev = v + self.is_cached = False + + def select(self) -> np.ndarray: + """ + When select() is called, we have seen self.t observations. + """ + if self.is_cached: + return self.X_cache + + t = self.t + assert t >= 1 + + # be lazy if self.X_cache already satisfies the newest obs. + est_noise = self.delta_vs[:, t-1] - self.X_cache @ self.us[:, t-1] + tqdm.write(f'est_noise: {np.max(np.abs(est_noise)):.3f}') + if np.max(np.abs(est_noise)) <= self.eta: + # buf = self.eta - np.max(np.abs(est_noise)) + # self.lazy_buffer.append(buf) + # tqdm.write('being lazy') + self.is_cached = True + return self.X_cache + + tqdm.write('not lazy') + + n = self.n + ub = self.eta # * np.ones([n, 1]) + lb = -ub + + # optimization variables + X = self.var_X + slack = self.var_slack + + # import pdb + # pdb.set_trace() + + # when t < self.n_samples, create a brand-new cp.Problem + if t < self.n_samples: + us = self.us[:, :t] + delta_vs = self.delta_vs[:, :t] + + diffs = delta_vs - X @ us + # constrs = [X >= 0, lb + slack <= diffs, diffs <= ub - slack] + constrs = [X >= 0, lb <= diffs, diffs <= ub] + + obj = cp.Minimize(cp.norm(X - self.X_cache, 'fro')) + # cp_triangle_norm_sq(X - self.X_cache) + # - self.alpha * slack) + prob = cp.Problem(objective=obj, constraints=constrs) + prob.solve(verbose=True) + + # when t >= self.n_samples, compile a fixed-size optimization problem + else: + if self.prob is None: + Xprev = cp.Parameter([n, n], PSD=True, name='Xprev') + us = cp.Parameter([n, self.n_samples], name='us') + delta_vs = cp.Parameter([n, self.n_samples], name='delta_vs') + + diffs = delta_vs - X @ us + constrs = [X >= 0, lb + slack <= diffs, diffs <= ub - slack] + + obj = cp.Minimize(cp_triangle_norm_sq(X-Xprev) + - self.alpha * slack) + self.prob = cp.Problem(objective=obj, constraints=constrs) + + # if CBC problem is DPP, then it can be compiled for speedup + # - see https://www.cvxpy.org/tutorial/advanced/index.html#disciplined-parametrized-programming # noqa + tqdm.write(f'CBC prob is DPP?: {self.prob.is_dcp(dpp=True)}') + + self.param_Xprev = Xprev + self.param_us = us + self.param_delta_vs = delta_vs + + prob = self.prob + + # perform random sampling + # - use the most recent k (<=5) time steps + # - then sample additional previous time steps for 20 total + k = min(self.n_samples, 5) + ts = np.concatenate([ + np.arange(t-k, t), + rng.choice(t-k, size=self.n_samples-k, replace=False)]) + self.param_us.value = self.us[:, ts] + self.param_delta_vs.value = self.delta_vs[:, ts] + + self.param_Xprev.value = self.X_cache + prob.solve(warm_start=True) + + if prob.status != 'optimal': + tqdm.write(f'CBC prob.status = {prob.status}') + if prob.status == 'infeasible': + import pdb + pdb.set_trace() + self.X_cache = np.array(X.value) # make a copy + + if np.any(self.X_cache < 0): + tqdm.write(f'optimal X has neg values. min={np.min(self.X_cache)}') + tqdm.write('- applying ReLu') + self.X_cache = np.maximum(0, self.X_cache) + + self.is_cached = True + return self.X_cache + + # TODO: calculate Steiner point? + # if self.t > n + 1: + # steiner_point = psd_steiner_point(2, X, constraints) + + +def psd_steiner_point(num_samples, X, constraints) -> np.ndarray: + """ + Args + - num_samples: int, number of samples to use for calculating Steiner point + - X: cp.Variable, shape [n, n] + - constraints: list, cvxpy constraints + """ + n = X.shape[0] + + S = 0 + for i in range(num_samples): + theta = rng.random(X.shape) + theta = theta @ theta.T + 1e-7 * np.eye(n) # random strictly PD matrix + theta /= np.linalg.norm(theta, 'fro') # unit norm + + objective = cp.Maximize(cp.trace(theta @ X)) + prob = cp.Problem(objective=objective, constraints=constraints) + prob.solve() + assert prob.status == 'optimal' + + p_i = prob.value + S += p_i * theta + + d = n + n*(n-1) // 2 + S = S / num_samples * d + + # check to make sure there is no constraint violation + X.value = S + for constr in constraints: + constr.violation() diff --git a/data/PV.mat b/data/PV.mat new file mode 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