qucs error jacobian singular rectangular voltage

At present, there are only partial numerical simulations for the qualitative analysis of the MCG circuit system. The three-dimensional Muthuswamy–Chua–Ginoux (MCG, for short) circuit system based on a thermistor is a generalization of the classical Muthuswamy–Chua circuit differential system. The effectiveness and scalability of the proposed approach are tested using several WDN case studies. Instead of providing deterministic results for unknown states, the proposed PSE approach: 1) regards the system states and uncertainty sources as random variables and yields variances of individual unknown states 2) considers thorough modeling of various types of valves and measurement scenarios in WDNs and 3) is also useful for uncertainty quantification, extended period simulations, and confidence limit analysis. After linearizing the nonlinear hydraulic WDN model, the proposed probabilistic SE (PSE) shows that the covariance matrix of unknown system states (unmeasured heads and flows) can be linearly expressed by the covariance matrix of three uncertainty sources (i.e., measurement noise, network parameters, and water demands). To this end, a probabilistic modeling for SE in WDNs is proposed. State estimation (SE) in water distribution networks (WDNs), the problem of estimating all unknown network heads and flows given select measurements, is challenging due to the nonconvexity of hydraulic models and significant uncertainty from water demands, network parameters, and measurements.

Qucs error jacobian singular rectangular voltage