Abstract-Direct-current microgrids (DC-MGs) can operate in either grid-connected or stand-alone mode. In particular, stand-alone DC-MG has many distinct applications. However, the optimal power flow problem of a stand-alone DC-MG is inherently non-convex. In this paper, the optimal power flow (OPF) problem of DC-MG is investigated considering convex relaxation based on second-order cone programming (SOCP). Mild assumptions are proposed to guarantee the exactness of relaxation, which only require uniform nodal voltage upper bounds and positive network loss. Furthermore, it is revealed that the exactness of SOCP relaxation of DC-MGs does not rely on either topology or operating mode of DC-MGs, and an optimal solution must be unique if it exists. If line constraints are considered, the exactness of SOCP relaxation may not hold. In this regard, two heuristic methods are proposed to give approximate solutions. Simulations are conducted to confirm the theoretic results.

As the load demand in a microgrid increases, more distributed generators (DGs) should be installed to meet the demand, which makes the microgrid expansion planning very important. To obtain the optimal expansion strategy, a tri-level expansion planning framework is presented for an isolated microgrid in this study, which is composed of demand expansion, capacity optimisation and operation optimisation. The uncertainties of load forecasting are considered. Latin hypercube sampling method is utilised to generate the load demand scenarios. Controllable load is also considered in the expansion, which can be switched off and on as required. Considering the complexity of the operation optimisation problem, particle swarm optimisation is used to obtain the planning results. Finally, numerical simulations for an isolated microgrid in Weizhou Island, Guangxi, China are utilised to validate the effectiveness of the proposed model as well as its solving algorithm.

Abstract-This paper addresses the distributed optimal frequency control of multi-area power system with operational constraints, including the regulation capacity of individual control area and the power limits on tie-lines. Both generators and controllable loads are utilized to recover nominal frequencies while minimizing regulation cost. We study two control modes: the per-node balance mode and the network balance mode. In Part I of the paper, we only consider the per-node balance case, where we derive a completely decentralized strategy without the need for communication between control areas. It can adapt to unknown load disturbance. The tie-line powers are restored after load disturbance, while the regulation capacity constraints are satisfied both at equilibrium and during transient. We show that the closed-loop systems with the proposed control strategies carry out primal-dual updates for solving the associated centralized frequency optimization problems. We further prove the closedloop systems are asymptotically stable and converge to the unique optimal solution of the centralized frequency optimization problems and their duals. Finally, we present simulation results to demonstrate the effectiveness of our design. In Part II of the paper, we address the network power balance case, where transmission congestions are managed continuously.

No abstract

Abstract-In Part I of this paper we propose a decentralized optimal frequency control of multi-area power system with operational constraints, where the tie-line powers remain unchanged in the steady state and the power mismatch is balanced within individual control areas. In Part II of the paper, we propose a distributed controller for optimal frequency control in the network power balance case, where the power mismatch is balanced over the whole system. With the proposed controller, the tieline powers remain within the acceptable range at equilibrium, while the regulation capacity constraints are satisfied both at equilibrium and during transient. It is revealed that the closedloop system with the proposed controller carries out primal-dual updates with saturation for solving an associated optimization problem. To cope with discontinuous dynamics of the closed-loop system, we deploy the invariance principle for nonpathological Lyapunov function to prove its asymptotic stability. Simulation results are provided to show the effectiveness of our controller.

Background Dendrobium officinale, an endangered Chinese herb, possesses extensive therapeutic effects and contains bioactive ingredients such as major polysaccharides, alkaloids, and minimal flavonoids. We first obtained the protocorm-like bodies (PLBs) of this plant through tissue culture in order to determine the distribution of the main secondary metabolites in each organelle and the PLBs. We then analyzed the correlation between gene expression level from comparative transcriptome sequencing and metabolite content in different organs to identify putative genes encoding enzymes involved in the biosynthesis of polysaccharides, alkaloids, and flavonoids. Results We used seeds as explants for protocorm induction and PLB propagation of D. officinale. The optimal medium formula for PLB propagation was 1/2 MS + α-NAA 0.5 mg·L− 1 + 6-BA 1.0 mg·L− 1 + 2, 4-D 1.5–2.0 mg·L− 1 + potato juice 100 g·L− 1. Stems, PLBs and leaves of D. officinale had the highest content of polysaccharides, alkaloids and flavonoids, respectively. Naringenin was only produced in stem; however, PLBs with high alkaloid content can replace other organs producing alkaloids. The hot water extraction method outperformed the ultrasound-assisted extraction method for extracting polysaccharides from D. officinale. A comparative transcriptome analysis of PLBs and leaves of D. officinale revealed differential expression of genes encoding enzymes involved in polysaccharide, alkaloid and flavonoid biosynthetic pathways. Putative genes encoding enzymes involved in these biosynthetic pathways were identified. Notably, we identified genes encoding the alkaloid biosynthesis enzymes strictosidine β-D-Glucosidase, geissoschizine synthase and vinorine synthase in D. officinale. Conclusions The identification of candidate genes encoding enzymes involved in metabolite biosynthesis will help to explore and protect this endangered species and facilitate further analysis of the molecular mechanism of secondary metabolite biosynthesis in D. officinale.

With the proliferation of distributed generators and energy storage systems, traditional passive consumers in power systems have been gradually evolving into the so-called "prosumers", i.e., proactive consumers, which can both produce and consume power. To encourage energy exchange among prosumers, energy sharing is increasingly adopted, which is usually formulated as a generalized Nash game (GNG). In this paper, a distributed approach is proposed to seek the Generalized Nash equilibrium (GNE) of the energy sharing game. To this end, we first prove the strong monotonicity of the game. Then, the GNG is converted into an equivalent optimization problem. An algorithm based on Nesterov's methods is thereby devised to solve the equivalent problem and consequently find the GNE in a distributed manner. The convergence of the proposed algorithm is proved rigorously based on the nonexpansive operator theory. The performance of the algorithm is validated by experiments with three prosumers, and the scalability is tested by simulations using 1888 prosumers.

Right ventricular (RV) failure is a major cause of death in patients with pulmonary arterial hypertension, and the mechanism of RV failure remains unclear. While the malfunction of RyR2 (ryanodine receptor type 2) on sarcoplasmic reticulum (SR) and aberrant Ca 2+ cycling in cardiomyocytes have been recognized in some cardiovascular diseases, their roles in RV failure secondary to pulmonary arterial hypertension require further investigation. In a monocrotaline-induced rat model of pulmonary arterial hypertension, the RV remodeling process was divided into normal, compensated, and decompensated stages according to the hemodynamic and morphological parameters. In both compensated and decompensated stages, significant diastolic SR Ca 2+ leakage was detected along with reduced intracellular Ca 2+ transient amplitude and SR Ca 2+ contents in RV myocytes. RyR2 protein levels decreased progressively during the process, and the thiol oxidation proportions of RyR2 were higher in compensated and decompensated stages than in normal stage. Inhibition of RyR2 oxidation by dithiothreitol or repairing RyR2 directly by dantrolene could restore Ca 2+ homeostasis in RV myocytes. Daily intraperitoneal injection of dantrolene delayed decompensation progression and significantly improved the survival rate of pulmonary hypertension rats in decompensated stage (79.3% versus 55.9%; P =0.026). Our findings suggest that diastolic SR Ca 2+ leakage via oxidized RyR2 facilitates the development of RV failure. Dantrolene can inhibit diastolic SR Ca 2+ leakage in RV cardiomyocytes, delay right cardiac dysfunction, and improve the survival of rats with pulmonary arterial hypertension.