GIẢM BẬC MÔ HÌNH CHO MẠCH ĐIỆN: MỘT NGHIÊN CỨU SO SÁNH VỀ CẮT NGẮN CÂN BẰNG THỰC DƯƠNG VÀ LẶP KRYLOV HỮU TỈ=MODEL ORDER REDUCTION OF ELECTRICAL CIRCUITS: A COMPARATIVE STUDY OF POSITIVE-REAL BALANCED TRUNCATION AND ITERATIVE RATIONAL KRYLOV

0 Người đánh giá. Xếp hạng trung bình 0

Tác giả: Thanh Tùng Nguyễn, Thạch Dương Vũ

Ngôn ngữ: vie

Ký hiệu phân loại:

Thông tin xuất bản: Tạp chí Khoa học và Công nghệ - Đại học Thái Nguyên, 2024

Mô tả vật lý: tr.104 - 110

Bộ sưu tập: Báo, Tạp chí

ID: 479256

Thêm vào giỏ

Giảm bậc mô hình (MOR) nhằm đơn giản hóa các mô hình mạch điện, điện tử phức tạp trong khi vẫn duy trì các đặc tính thiết yếu của hệ thống. Nghiên cứu này so sánh hai thuật toán MOR: Cắt ngắn cân bằng dương-thực (PRBT) và Thuật toán lặp Krylov hữu tỉ (IRKA). Cách tiếp cận PRBT liên quan đến việc xác định Gramian điều khiển và quan sát thông qua việc giải các phương trình Riccati, cho phép duy trì tính ổn định và thụ động. IRKA sử dụng phép lặp các điểm nội suy để hội tụ hướng tới xấp xỉ giảm bậc tối ưu. Hiệu suất của các thuật toán này được đánh giá thông qua việc triển khai mô hình mạch RLC trên MATLAB. Các kết quả bao gồm phân tích sai số, so sánh đáp ứng xung, đáp ứng biên độ và đáp ứng pha theo tần số giữa hệ gốc và hệ bậc giảm. Các điểm mạnh và hạn chế của từng phương pháp, mang lại khả năng ứng dụng liên quan đến việc giảm bậc mô hình mạch điện. Bằng cách xem xét các yếu tố như độ chính xác, độ phức tạp tính toán và bảo toàn các thuộc tính của hệ thống, ta có thể đưa ra quyết định về việc lựa chọn thuật toán MOR cho các nhiệm vụ mô hình hóa mạch cụ thể. Nghiên cứu này góp phần thúc đẩy sự tiến bộ không ngừng của MOR trong kỹ thuật điện, tạo điều kiện phát triển các mô hình mạch ứng dụng hiệu quả và chính xác.Model Order Reduction (MOR) is for simplifying complex electrical, electronic circuit models while preserving essential system characteristics. This study compares two MOR algorithms: Positive-Real Balanced Truncation (PRBT) and the Iterative Rational Krylov Algorithm (IRKA). The PRBT approach involves the determination of controller and observer Gramians through the solution of Riccati equations, enabling the preservation of stability and passivity properties. The IRKA employs an iterative of interpolation points to converge towards an optimal reduced-order approximation. The performance of these algorithms is evaluated through the implementation of an RLC circuit model in MATLAB software. The results encompass error analysis, comparisons of impulse response, magnitude response, and phase response according to frequency between the original and reduced-order systems. The strengths and limitations of each method, providing into their applicability involving model order reduction of electrical circuits. By considering factors such as accuracy, computational complexity, and preservation of system properties, we can make decisions regarding the selection of MOR algorithms for specific circuit modeling tasks. This study contributes to the ongoing advancement of MOR techniques in electrical engineering, facilitating the development of efficient and accurate application circuit models.

1. Đọc trực tuyến

1. Đọc trực tuyến

Tạo bộ sưu tập với mã QR