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Python software for symbolic power system modeling and numerical analysis.

Project description

ANDES

The dynamic simulation engine of the CURENT Large-scale Testbed

PyPI Conda Documentation License: GPL v3

ANDES is an open-source Python package for power system modeling and simulation. It supports power flow, time-domain simulation (transient stability), eigenvalue analysis, continuation power flow, and state estimation.

Quick Start

pip install andes       # or: conda install -c conda-forge andes
import andes

ss = andes.load("ieee14.raw", addfile="ieee14.dyr", setup=False)
ss.add("Fault", bus=2, tf=1.0, tc=1.1)       # three-phase bus fault
ss.setup()

ss.PFlow.run()                                # power flow
ss.TDS.run()                                  # time-domain simulation
ss.TDS.plt.plot(ss.GENROU.omega)              # plot generator speeds

Five lines from a PSS/E case file to a transient stability plot:

IEEE 14-bus transient simulation

What ANDES Provides

Five analysis routines. Power flow (Newton-Raphson), time-domain simulation (implicit trapezoidal), eigenvalue analysis, continuation power flow for voltage stability limits, and state estimation.

Eigenvalue map of the Kundur two-area system

Over 100 dynamic models. Synchronous generators (GENROU, GENCLS), turbine governors (TGOV1, IEEEG1, HYGOV), exciters (EXST1, ESST3A, SEXS, AC8B), stabilizers (IEEEST, ST2CUT), second-generation renewable models (REGCA1, REECA1, REPCA1, WTDTA1), distributed energy resources (PVD1, ESD1), and dynamic loads (ZIP, FLoad), with full implementation of limiters, saturation, and time constant zeroing.

PSS/E data compatibility. ANDES natively reads PSS/E RAW and DYR files, MATPOWER cases, and its own JSON and Excel formats. Once a dynamic model is implemented, its PSS/E DYR input is automatically supported.

Scripting and extensibility. Built for Python workflows: load cases, sweep parameters, modify topology, and extract results in NumPy arrays or Pandas DataFrames. A Gymnasium-compatible reinforcement learning environment is available for power system control research.

Performance. A 20-second transient simulation of a 2000-bus system completes in seconds on a typical desktop computer, with optional Numba JIT compilation.

Verification

ANDES has been verified against DSATools TSAT and Siemens PSS/E on standard test systems. The NPCC 140-bus case (GENROU, GENCLS, TGOV1, IEEEX1) produces results identical to TSAT. The WECC 179-bus case (GENROU, IEEEG1, EXST1, ESST3A, ESDC2A, IEEEST, ST2CUT) shows close agreement across all three tools.

NPCC 140-Bus (ANDES vs. TSAT) WECC 179-Bus (ANDES vs. TSAT vs. PSS/E)
NPCC WECC

Full verification notebooks with side-by-side comparisons are available in the documentation.

Symbolic Modeling Framework

Models in ANDES are defined as mathematical equations in Python. The framework automatically generates optimized numerical code, analytically derived Jacobian matrices, and LaTeX documentation from the same source. What you simulate is what you document.

The following is the complete implementation of the TGOV1 turbine governor. Reusable transfer function blocks (LagAntiWindup, LeadLag) and discrete components (limiters, deadbands) are provided in the ANDES library.

class TGOV1Model(TGBase):
    def __init__(self, system, config):
        TGBase.__init__(self, system, config)

        self.gain = ConstService(v_str='ue/R')

        self.pref = Algeb(v_str='tm0 * R',
                          e_str='pref0 * R - pref')
        self.wd = Algeb(v_str='0',
                        e_str='ue * (omega - wref) - wd')
        self.pd = Algeb(v_str='ue * tm0',
                        e_str='ue*(- wd + pref + paux) * gain - pd')

        self.LAG = LagAntiWindup(u=self.pd, K=1, T=self.T1,
                                 lower=self.VMIN, upper=self.VMAX)
        self.LL = LeadLag(u=self.LAG_y, T1=self.T2, T2=self.T3)

        self.pout.e_str = 'ue * (LL_y - Dt * wd) - pout'

ANDES generates documentation from this definition, including parameter tables, variable listings, and rendered equations:

Auto-generated model documentation for TGOV1

Application Gallery

The documentation includes worked examples covering:

  • Forced oscillation source localization
  • Critical clearing time sweeps
  • Low-inertia frequency response analysis
  • Reinforcement learning for oscillation damping
  • and others ...

Browse the full gallery at docs.andes.app.

Resources

Citing ANDES

If you use ANDES for research or consulting, please cite the following paper:

H. Cui, F. Li and K. Tomsovic, "Hybrid Symbolic-Numeric Framework for Power System Modeling and Analysis," IEEE Transactions on Power Systems, vol. 36, no. 2, pp. 1373-1384, March 2021, doi: 10.1109/TPWRS.2020.3017019.

Sponsors

ANDES was developed at the CURENT Engineering Research Center at the University of Tennessee, Knoxville, with support from the National Science Foundation (NSF Award EEC-1041877), the Department of Energy Office of Electricity, and the CURENT Industry Partnership Program.

CURENT

See contributors for the full list.

License

ANDES is licensed under the GPL v3 License.

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