Abstract

Due to an imminent fossil energy crisis and environmental pollution, renewable energy, such as photovoltaics, has been vigorously developing. However, the output of photovoltaic energy has strong volatility and intermittency. Thus, the photovoltaic generation system cannot constantly meet the load demand. To address this problem, a virtual power plant with hydro-photovoltaic-thermal generation is proposed in this paper. This virtual power plant utilizes the complementary characteristics of the output of the power sources to ensure a smooth and stable total output curve, and the power supply quality of the virtual power plant is improved. Further, the nonlinear operating cost model of the virtual power plant, with output changing over time, is established on the weighted output of hydro, photovoltaic, and thermal power; then, the corresponding marginal cost model of the virtual power plant is obtained. In the electricity market, three typical mid- to long-term electricity decomposition methods based on average, tracking load and spot price are constructed, and the spot price is predicted by the auto regressive moving average model (ARIMA) model, while the relationship between the spot price and the marginal cost of the virtual power plant is obtained; the marginal cost could also be adjusted based on the ARIMA model. Based on above factors, the sizing model of the virtual power plant is established, considering investment and complementary benefits. Finally, a case study is undertaken, where the sizing scheme for the increasing local load in the typical scenarios of the planning year and the corresponding annual rate of return are obtained. Sensitivity analysis of the influence for the above factors on the sizing of the virtual power plant is carried out. The optimal ratio of mid- to long-term electricity and its decomposition methods, as well as the capacity of the virtual power plant and the sizing ratio of hydropower, photovoltaic, and thermal power are obtained.

Highlights

  • Considering the depletion of fossil energy, such as oil and coal, and the elimination of environmental pollution, the energy crisis is required to be solved by alternative clean energy sources [1]

  • In order to reflect the relationship between the total output, and operating cost for the optimal scheduling of the virtual power plant, the operating cost model can be expressed as the following function

  • Where, PL is the total output of the virtual power plant, FL,t is the operating cost of the virtual power plant at the period of t, and a L,t, bL,t, c L,t are the respective coefficients of the operating cost model

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Summary

Introduction

Considering the depletion of fossil energy, such as oil and coal, and the elimination of environmental pollution, the energy crisis is required to be solved by alternative clean energy sources [1]. By identifying the economic links and complementary effects between various power generating sources, together with a developed mutual constraint and coordinated operating strategy, the optimal sizing of the virtual power plant could make full use of the complementary between various power supplies, ensure the satisfaction of the total power output curve, enhance resource utilization, and achieve better economic profit in the electricity market. The above studies were insufficient to consider the planning and operation of a virtual power plant in an economic environment like the electricity market, in both the mid- to long-term transaction market and the spot market. The optimal sizing of the virtual power plant, considering the investment and complementary benefits for electricity market, is proposed.

Output Characteristic Model of the Virtual Power Plant
Modeling of the Hydropower System
Modeling of Distributed Photovoltaics
Modeling of Thermal Power System
The Complementary Indexes of the Virtual Power Plant
Operating Cost Model of the Virtual Power Plant
Mid- to Long-Term Electricity Decomposition Method
Tracking Load Curve Decomposition
Analysis of the Uncertainty of Spot Price
Sizing Model of the Virtual Power Plant
Sizing Method of the Virtual Power Plant
Case Study
Prediction of Spot Price
Three Typical Mid- to Long-Term Figure
Characteristics of Output in the Spot Market
Hydropower
Profits
The Impact of Different Mid- to Long-Term Prices on Profit
Analysis of Sizing Based on Economic and Complementary Indexes
Conclusions

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