Modeling of the Maximum Entropy Problem as an Optimal Control Problem and its Application to Pdf Estimation of Electricity Price

Authors

Abstract:

In this paper, the continuous optimal control theory is used to model and solve the maximum entropy problem for a continuous random variable. The maximum entropy principle provides a method to obtain least-biased probability density function (Pdf) estimation. In this paper, to find a closed form solution for the maximum entropy problem with any number of moment constraints, the entropy is considered as a functional measure and the moment constraints are considered as the state equations. Therefore, the Pdf estimation problem can be reformulated as the optimal control problem. Finally, the proposed method is applied to estimate the Pdf of the hourly electricity prices of New England and Ontario electricity markets. Obtained results show the efficiency of the proposed method.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

the problem of divine hiddenness

این رساله به مساله احتجاب الهی و مشکلات برهان مبتنی بر این مساله میپردازد. مساله احتجاب الهی مساله ای به قدمت ادیان است که به طور خاصی در مورد ادیان ابراهیمی اهمیت پیدا میکند. در ادیان ابراهیمی با توجه به تعالی خداوند و در عین حال خالقیت و حضور او و سخن گفتن و ارتباط شهودی او با بعضی از انسانهای ساکن زمین مساله ای پدید میاید با پرسشهایی از قبیل اینکه چرا ارتباط مستقیم ویا حداقل ارتباط وافی به ب...

15 صفحه اول

construction and validation of translation metacognitive strategy questionnaire and its application to translation quality

like any other learning activity, translation is a problem solving activity which involves executing parallel cognitive processes. the ability to think about these higher processes, plan, organize, monitor and evaluate the most influential executive cognitive processes is what flavell (1975) called “metacognition” which encompasses raising awareness of mental processes as well as using effectiv...

Control Problem and its Application in Management and Economic

The control problem and Dynamic programming is a powerful tool in economics and management. We review the dynamic programming problem from its beginning up to its present stages. A problem which was involved in physics and mathematics in I 7” century led to a branch of mathematics called calculus of variation which was used in economic, and management at the end of the first quarter of the 20” ...

full text

extraction and characterization of allium irancum plant extract and its application in the green synthesis of silver nano particles and oxidation of thiocarbony1 compounds

سنتز سبز نانوذرات فلزی (nps) درسالهای اخیر توجه بسیارزیادی را به خود جلب کرده است. زیرا این پروتوکل کم هزینه وسازگار با محیط زیست از روش های استاندارد سنتز. در این پایان نامه ما گزارش میکنیم یک روش ساده و سازگار با محیط زیست برای سنتز نانوذرات نقره با استفاده از محلول آبی عصاره گیاه allium iranicum به عنوان یک عامل کاهش دهنده ی طبیعی. نانو ذرات نقره مشخص شد با استفاده از تکنیک های uv-visible، x...

Fuzzy Optimal Control and Its Application to Nonlinear Benchmark Problem

In this paper, we talk about the application of fuzzy control techniques to the nonlinear systems. We propose a new scheme of fuzzy optimal control techniques in which T-S (Takagi-Sugeno) fuzzy model is used for the modeling. We adopt the PDC (parallel distributed control) as our controller which is also modeled by fuzzy rules. Both the discrete system case and the continuous system case are di...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 9  issue 3

pages  150- 157

publication date 2013-09

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023