利用新型灰色伯努利模型预测重庆市短期能源消耗情况

IF 3.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Xiaozeng Xu, Yikun Wu, Bo Zeng
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引用次数: 0

摘要

目的传统的灰色模型是整阶白化微分模型,这些模型对有规律的原始数据的预测比较有效,但对无规律序列或冲击序列的预测误差较大,预测效果不理想。新模型实现了灰色伯努利模型的动态扩展和优化,同时增强了模型结构的可变性和自适应性。研究结果根据过去六年的原始数据建立预测模型,验证了新模型的预测性能远远优于其他主流灰色预测模型,尤其是对不规则序列和振荡序列的预测。最后,建立了重庆市各方面能耗的预测模型。研究的局限性/意义必须认识到其固有的局限性。首先,模型的分数微分阶数仅限于 0 < a < 2,仅包含一个三参数模型。未来的研究可以深入开发 a = 2 时适用的多参数模型。其次,本文只关注模型本身,忽略了对原始数据预处理的考虑,如平滑算子、缓冲算子和背景值。加入这些因素可以显著提高模型的有效性,尤其是在中期或长期预测方面。社会意义这些研究成果为中国政府和重庆市政府优化能源结构、制定有效的能源政策提供了有价值的指导和决策支持。论文亮点:提出了一种新颖的伯努利灰色预测模型,完善了模型结构,在新模型中加入了分数导数、分数累加代算子和伯努利方程,实现了与传统主流灰色预测模型的完全兼容,重庆市能源消费情况验证了新模型的性能远优于传统灰色模型,为政府制定能源消费政策、优化能源结构提供了参考依据。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Forecasting short-term energy consumption in Chongqing using a novel grey Bernoulli model

Purpose

Traditional grey models are integer order whitening differential models; these models are relatively effective for the prediction of regular raw data, but the prediction error of irregular series or shock series is large, and the prediction effect is not ideal.

Design/methodology/approach

The new model realizes the dynamic expansion and optimization of the grey Bernoulli model. Meanwhile, it also enhances the variability and self-adaptability of the model structure. And nonlinear parameters are computed by the particle swarm optimization (PSO) algorithm.

Findings

Establishing a prediction model based on the raw data from the last six years, it is verified that the prediction performance of the new model is far superior to other mainstream grey prediction models, especially for irregular sequences and oscillating sequences. Ultimately, forecasting models are constructed to calculate various energy consumption aspects in Chongqing. The findings of this study offer a valuable reference for the government in shaping energy consumption policies and optimizing the energy structure.

Research limitations/implications

It is imperative to recognize its inherent limitations. Firstly, the fractional differential order of the model is restricted to 0 < a < 2, encompassing only a three-parameter model. Future investigations could delve into the development of a multi-parameter model applicable when a = 2. Secondly, this paper exclusively focuses on the model itself, neglecting the consideration of raw data preprocessing, such as smoothing operators, buffer operators and background values. Incorporating these factors could significantly enhance the model’s effectiveness, particularly in the context of medium-term or long-term predictions.

Practical implications

This contribution plays a constructive role in expanding the model repertoire of the grey prediction model. The utilization of the developed model for predicting total energy consumption, coal consumption, natural gas consumption, oil consumption and other energy sources from 2021 to 2022 validates the efficacy and feasibility of the innovative model.

Social implications

These findings, in turn, provide valuable guidance and decision-making support for both the Chinese Government and the Chongqing Government in optimizing energy structure and formulating effective energy policies.

Originality/value

This research holds significant importance in enriching the theoretical framework of the grey prediction model.

Highlights

The highlights of the paper are as follows:

  1. A novel grey Bernoulli prediction model is proposed to improve the model’s structure.

  2. Fractional derivative, fractional accumulating generation operator and Bernoulli equation are added to the new model.

  3. The proposed model can achieve full compatibility with the traditional mainstream grey prediction models.

  4. Energy consumption in Chongqing verifies that the performance of the new model is much better than that of the traditional grey models.

  5. The research provides a reference basis for the government to formulate energy consumption policies and optimize energy structure.

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来源期刊
Grey Systems-Theory and Application
Grey Systems-Theory and Application MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.80
自引率
13.80%
发文量
22
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