Enhancing Renewable Energy Integration:A Gaussian-Bare-Bones Levy Cheetah Optimization Approach to Optimal Power Flow in Electrical Networks

In the contemporary era,the global expansion of electrical grids is propelled by various renewable energy sources(RESs).Efficient integration of stochastic RESs and optimal power flow(OPF)management are critical for network optimization.This study introduces an innovative solution,the Gaussian Bare-Bones Levy Cheetah Optimizer(GBBLCO),addressing OPF challenges in power generation systems with stochastic RESs.The primary objective is to minimize the total operating costs of RESs,considering four functions:overall operating costs,voltage deviation management,emissions reduction,voltage stability index(VSI)and power loss mitigation.Additionally,a carbon tax is included in the objective function to reduce carbon emissions.Thorough scrutiny,using modified IEEE 30-bus and IEEE 118-bus systems,validates GBBLCO’s superior performance in achieving optimal solutions.Simulation results demonstrate GBBLCO’s efficacy in six optimization scenarios:total cost with valve point effects,total cost with emission and carbon tax,total cost with prohibited operating zones,active power loss optimization,voltage deviation optimization and enhancing voltage stability index(VSI).GBBLCO outperforms conventional techniques in each scenario,showcasing rapid convergence and superior solution quality.Notably,GBBLCO navigates complexities introduced by valve point effects,adapts to environmental constraints,optimizes costs while considering prohibited operating zones,minimizes active power losses,and optimizes voltage deviation by enhancing the voltage stability index(VSI)effectively.This research significantly contributes to advancing OPF,emphasizing GBBLCO’s improved global search capabilities and ability to address challenges related to local minima.GBBLCO emerges as a versatile and robust optimization tool for diverse challenges in power systems,offering a promising solution for the evolving needs of renewable energy-integrated power grids.

A simplified differential game model for the optimal choice of tax rate

A classical problem on optimal choice of tax rate from the perspective of differential game approach is studied. Under some appropriate assumptions on the profit and utility functions, the open-loop Stackelberg equilibrium solution which is time- dependent is obtained. Result shows that 1) the optimal strategies derived from differential game and traditional unilateral optimal control approaches are different; 2) both marginal profit rate and the market rate of interest have great effect on the equilibrium solution; and 3) the government should think about the firm’s potential reaction when selecting tax rates and the timing of taxation.

Modified Ramsey Rule, Optimal Carbon Tax and Economic Growth

In contrast to the overlapping-generations model, it is allowable to discount the future utility in a dynasty model without the ethical difficulty related to intergenerational conflicts. Much precedent research uses Ramsey-type optimal growth theory in order to estimate the social discount rate. However, one must note that almost all the formulations neglect the existence of negative intertemporal externalities. This problem is vital when one analyzes the global warming problem mainly caused by the excess concentration of carbon dioxide (CO2). This is because an adjoining effect of capital accumulation exists besides the improvement of product capacity, which is reflected in the rate of interest (or equivalently, the marginal productivity of capital). That is, one cannot neglect a negative externality to the future productivity that originates from the excess emissions of CO2. Accordingly, following the optimal growth theory, the effective social discount rate should be heightened by a proportional carbon tax to suppress future excess consumption/ emissions than in the case of the existing analyses, which exclude such an intertemporal external diseconomy.

From Structural Imbalance to Structural Optimization:A Theoretical Analysis for Establishing a Modern Tax System

The essence of the modern tax system is the unity of the modern tax framework and the functions it supports.Behind the appearance of an unbalanced tax structure lies the reality of the shortcomings and weaknesses of the functions of modern taxation.The heart or soul of the establishment of a modern tax system is making modern tax functions the standard,acting to optimize the tax structure,and creating a form of tax system with a functional balance that integrates"optimized resource allocation,maintenance of market unity,promotion of social equity,and ensuring long-term national stability"constituting a modern tax framework.The transition from structural imbalance to structural optimization is the fundamental route to establishing a modern tax system.On the premise of maintaining basic stability in the macro-tax burden,the supplementation and strengthening of the shortcomings and weaknesses in modern tax functions primarily involve supplementing and strengthening the direct taxation shortcomings and weaknesses that are in an"absent"or"weak"state in the current tax framework.Increasing direct taxes and raising their proportion essentially mean increasing the tax paid by individuals and raising the share of individual tax revenue in total tax revenue.This is the most important and central aspect of action to optimize the tax structure.

Conflict and Coordination Problem of Carbon Tax' Diversity Targets in China-Based on the Tax Optimization Theory

Among all the emission reduction measures,carbon tax is recognized as the most effective way to protect our climate.That is why the Chinese government has recently taken it as a tax reform direction.In the current economic analysis,the design of carbon tax is mostly based on the target to maximize the efficiency.However,based on the theory of tax system optimization,we should also consider other policy objectives,such as equity,revenue and cost,and then balance different objectives to achieve the suboptimum reform of carbon tax system in China.

PRODUCTIVE GOVERNMENT EXPENDITURE IN A STOCHASTICALLY GROWING OPEN ECONOMY

This paper employs a stochastic endogenous growth model with productive government expenditure in a small open economy to analyze the optimal fiscal policy. First, a stochastic model of a small open economy is constructed. Second, the equilibrium solutions of the representative agent＇s stochastic optimization problem are derived. Third, we obtain the equilibrium solutions of the central planner＇s stochastic optimization problem and the optimal government expenditure policy. Finally, the optimal tax policy is characterized.