Quantification of efficiency improvements from integration of battery energy storage systems and renewable energy sources into domestic distribution networks

Due to the increasing use of renewable, non-controllable energy generation systems energy storage systems (ESS) are seen as a necessary part of future power delivery systems. ESS have gained research interest and practical implementation over the past decade and this is expected to continue into the future. This is due to the economic and operational benefits for both network operators and customers, battery energy storage system (BESS) is used as the main focus of this research paper. This paper presents an analytical study of the benefits of deploying distributed BESS in an electrical distribution network (DN). The work explores the optimum location of installing BESS and its impact on the DN performance and possible future investment. This study provides a comparison between bulk energy storage installed at three different locations; medium voltage (MV) side and low voltage (LV) side of the distribution transformer (DT) and distributed energy storage at customers’ feeders. The performance of a typical UK DN is examined under different penetration levels of wind energy generation units and BESS. The results show that the minimum storage size is obtained when BESS is installed next to the DT. However, the power loss is reduced to its minimum when BESS and wind energy are both distributed at load busbars. The study demonstrates that BESS installation has improved the loss of life factor of the distribution transformer

On the Efficient Calculation of a Linear Combination of Chi-Square Random Variables with an Application in Counting String Vacua

Linear combinations of chi square random variables occur in a wide range of fields. Unfortunately, a closed, analytic expression for the pdf is not yet known. As a first result of this work, an explicit analytic expression for the density of the sum of two gamma random variables is derived. Then a computationally efficient algorithm to numerically calculate the linear combination of chi square random variables is developed. An explicit expression for the error bound is obtained. The proposed technique is shown to be computationally efficient, i.e. only polynomial in growth in the number of terms compared to the exponential growth of most other methods. It provides a vast improvement in accuracy and shows only logarithmic growth in the required precision. In addition, it is applicable to a much greater number of terms and currently the only way of computing the distribution for hundreds of terms. As an application, the exponential dependence of the eigenvalue fluctuation probability of a random matrix model for 4d supergravity with N scalar fields is found to be of the asymptotic form exp(-0.35N).Comment: 21 pages, 19 figures. 3rd versio

A prospective, randomized therapeutic trial for schistosomal specific nephropathy

A prospective, randomized therapeutic trial for schistosomal specific nephropathy. In this work 26 patients with schistosomal specific nephropathy were randomly distributed among three groups. Group I cases were given anti-schistosomal drugs (oxamniquine and praziquantel), group II cases were given anti-schistosomal drugs plus prednisolone, and group III cases were given anti-schistosomal drugs plus cyclosporine. The schistosomal specificity of kidney lesions was assessed by detecting the schistosomal specific antigens (CAA and CCA) and antibodies deposited in the renal glomeruli of these patients. Patients who had another etiologic cause which may explain their kidney disease were not admitted to this study. After initiation of the treatment, patients were followed up every other week in the outpatient clinic for 12 months. Follow-up showed complete remission of proteinuria in two cases in group II (duration of remission was 4 and 8 months) and in one case in group III (duration of remission was 6 months) but in none in group I. Partial remission was observed in one case in group I, in three cases in group II and in one case in group HI. During the observation period, improvement in kidney function was observed in two cases in group II but deterioration in kidney function was observed in one case in group I and in one other case in group III. We conclude that in patients with schistosomal nephropathy, none of the tried therapeutic regimens produce regression of the disease if given to patients with established disease