An ultra-high-resolution Measurement Generation Method Based on Graph Signal Processing for Shipboard Power System

doi:10.12382/bgxb.2025.0643

Abstract

Abstract:

The shipboard equipment is constantly exposed to complex and harsh marine environments during the actual operation of ship.Some factors such as seawater corrosion，high humidity and mechanical vibrations accelerate the aging process of electrical components.Moreover，the human-induced operational errors，sudden natural disasters like severe storms，and unexpected equipment malfunctions can all cause significant damage to the shipboard power system and its communication infrastructure.Once damaged，a large amount of key data within the power system is lost，severely influencing the normal operation of the system and making it extremely difficult to accurately perceive the security situation，thus posing potential risks to the overall safety and reliability of the ship.Aiming at the issues of slow computation speed and subpar data restoration accuracy of the existing missing data recovery algorithms for power systems，this paper proposes an ultra-high-resolution measurement generation method based on minimal measurement information.In this method，the uneven spatial distribution of measurement points and their varying accuracies are fully considered to construct a spatial sparse measurement state equation for the power system，and the graph Fourier decomposition is employed to introduce a low-dimensional approximate equation of voltage for reducing the model parameters and enabling efficient low-order linear approximation.The innovative concept of a mask is also incorporated to build a state estimation optimization equation based on graph signal processing，achieving the rapid reconstruction of distribution network voltage and improving the global voltage quality.Through the IEEE-85 bus test case，the proposed method increases the voltage recovery accuracy by an average of 50% in the case of different measurement quantities compared with traditional methods like SDP-SE and MCSE，and reduces the computation time from minute-level to second-level compared with SDP-SE，supporting online system operation.Experiments in CloudPSS with an actual shipboard power system topological diagram show that the method can recover the missing voltage data within 1.2 seconds with an average absolute error of only 0.88%，validating its ability to accurately grasp the global information and enhance the anti-interference and self-healing capabilities of shipboard power system even when the communication system is partially damaged，ensuring the stable operation of shipboard power system.

Key words: communication impairment, shipboard power system, graph signal processing, high-resolution measurement

SU Zhaoyu, CHEN Liang, WU Benxiang, ZHANG Yang, LI Geng. An ultra-high-resolution Measurement Generation Method Based on Graph Signal Processing for Shipboard Power System[J]. Acta Armamentarii, 2025, 46(S1): 250643-.

Figures/Tables 13

Fig.1 Typical network structure of medium voltage DC integrated power system

Fig.2 Equivalent circuit diagram of the system

Fig.3 IEEE-85 node distribution net topology

Table 1 Configuration scheme of measurement device

量测设备	数量	观测误差/%
PMU	23	1
AMI	25	3
SCADA	37	5

Fig.4 The amplitudes of measured error voltages under different state estimation methods

Table 2 Comparison of the performances of three state estimation methods under different numbers of measuring devices

	GSPv-SE		MCSE		SDP-SE
量测设备数量	MAE	F范数	MAE	F范数	MAE	F范数
23	0.0041	0.0437	0.0247	0.2564	0.0821	1.9021
43	0.0038	0.0416	0.0166	0.1673	0.0749	1.5514
64	0.0037	0.0414	0.0096	0.1055	0.0544	1.1662
85	0.0031	0.0210	0.0064	0.0669	0.0057	0.0609

Table 3 Comparison of model parameters and performances of two state estimation methods

模型	优化参数数量	已知参数数量	MAE	F-范数	运行时间/s
GSPv-SE	21	192	0.0037	0.0468	1.8562
SDP-SE	85	384	0.0512	1.1662	61.2625

Fig.5 Topology of shipboard power system

Fig.6 Damaged load-D4QF1

Table 4 Status of some nodes under the condition of load-D4QF1 being damaged

节点名称	电压值	注入电流	视在功率	是否可量测
母线-负载-D4QF1				不可量测
母线-负载-D3QF1	0.9998+ 0.0077j	-0.001+ 0.0004j	-0.001- 0.0004j	可量测
船舷配电与跨接板#7				不可量测
船舷配电与跨接板#6	0.9861+ 0.004j	0.0164+ 0.0121j	-0.0161- 0.012j	可量测
船舷配电与跨接板#8	0.9917+ 0.0024j	0.0079+ 0.0059j	-0.0078- 0.0059j	可量测

Fig.7 Scenario 1：Super-high-resolution measurement and recovery renderings

Fig.8 Damaged distribution and cross-connect panel #6

Fig.9 Scenario 2：Super-high-resolution measurement and recovery renderings

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