nr-powerflow-solver v1.0.1 SciPy CSC Sparse Engine MATPOWER case14 & case_ieee30 Verified 72 Automated Pytest Checks

Power Systems Sparse Newton-Raphson & Grid Security Explorer

Interactive benchmark explorer for balanced AC load flow, PV generator Q_min/Q_max capability enforcement, automated N-1 contingency screening, and saddle-node bifurcation P-V voltage stability margins. View Source & CLI Docs on GitHub →

Operating Scenario: Filter Bus / Type:

Bus Phasor Solution

Bus	Regime / Status	\|V\| (p.u.)	Angle (deg)

IEEE 14-Bus Convergence & Voltage Diagnostics

IEEE 14 Quadratic Convergence

Top Ranked N-1 Contingencies (IEEE 14-Bus, 0.94–1.06 p.u., MATPOWER Q-Limits)

Rank	Branch	Corridor	Status	Min \|V\|	Q-Sat	Severity

Severity Index Screening Chart

N-1 Contingency Ranking

Inspect Bus Trajectory (Q-Limited Continuation):

Continuation Operating Points & Jacobian Conditioning

Lambda (x)	Total Load (MW)	Selected Bus \|V\| (p.u.)	Min Singular Value σ_min(J)

P-V Nose Curve: Unconstrained vs. Generator Q-Limited

IEEE 14 P-V Nose Curve

Dense NumPy LU vs. Direct SciPy CSC spsolve

Buses	Jacobian	nnz(J)	Zeros (%)	Dense (ms)	Sparse (ms)	Speedup

IEEE 30-Bus Reduced Jacobian Non-Zero Pattern

IEEE 30 Sparse Jacobian Spy Plot